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25 Years of Non-Equilibrium Statistical Mechanics [[electronic resource] ] : Proceedings of the XIII Sitges Conference, Held in Sitges, Barcelona, Spain, 13–17 June 1994 / / edited by J.J. Brey, J. Marro, J.M. Rubi, M. SanMiguel
| 25 Years of Non-Equilibrium Statistical Mechanics [[electronic resource] ] : Proceedings of the XIII Sitges Conference, Held in Sitges, Barcelona, Spain, 13–17 June 1994 / / edited by J.J. Brey, J. Marro, J.M. Rubi, M. SanMiguel |
| Edizione | [1st ed. 1995.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XVIII, 389 p.) |
| Disciplina | 530.1/3 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Physics
Thermodynamics Statistical physics Dynamical systems Condensed matter Atoms Mathematical Methods in Physics Numerical and Computational Physics, Simulation Complex Systems Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics |
| ISBN | 3-540-49203-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Microscopic reversibility and macroscopic behavior: Physical explanatoins and mathematical derivations -- Twenty-five years of non-equilibrium statistical mechanics: Towards a better understanding of dense fluids -- Models for dissipation in quantum mechanics -- Brownian motion theory: Properties of nonlinear Langevin equations -- Non-equilibrium, phase transition, and related problem -- Simulation of the consistent Boltzmann equation for hard spheres and its extension to higher densities -- Over two decades of pattern formation, a personal perspective -- Fluctuations in the steady state -- Slow non-equilibrium dynamics -- Theory of glass transition in spin glasses, orientational glasses and structural glasses -- Evolution of order parameters in disordered spin systems — a closure procedure -- Elastic instabilities in crystal growth -- Vapor phase nucleation: Molecular mechanisms for embryo development -- Chaos in Lorentz lattice gases -- Dynamics of reptation -- Non-equilibrium fluctuations in simple fluids -- Long time tails in stress correlation functions -- New advances in Laplacian growth models -- Slow dynamics and linear relaxation -- Driven tunneling: New possibilities for coherent and incoherent quantum transport -- From the Random Sequential Adsorption to the ballistic model -- High frequency viscosity of a dilute polydisperse emulsion -- Mesoscopic theory of liquid crystals -- On the microscopic theory of phase coexistence -- A nonequilibrium phase transition induced by multiplicative noise -- Electric field domains in superlattices: Dynamics -- Molecular dynamics simulation of phase separation and domain growth -- Finite-size effects in the Kardar-Parisi-Zhang equation -- Competing scaling behaviours in the late stage of growth kinetics -- Stretched-exponential relaxation of transient electric birefringence in polymer-like reverse micelles. |
| Record Nr. | UNINA-9910257399503321 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
25 Years of Non-Equilibrium Statistical Mechanics [[electronic resource] ] : Proceedings of the XIII Sitges Conference, Held in Sitges, Barcelona, Spain, 13–17 June 1994 / / edited by J.J. Brey, J. Marro, J.M. Rubi, M. SanMiguel
| 25 Years of Non-Equilibrium Statistical Mechanics [[electronic resource] ] : Proceedings of the XIII Sitges Conference, Held in Sitges, Barcelona, Spain, 13–17 June 1994 / / edited by J.J. Brey, J. Marro, J.M. Rubi, M. SanMiguel |
| Edizione | [1st ed. 1995.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XVIII, 389 p.) |
| Disciplina | 530.1/3 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Physics
Thermodynamics Statistical physics Dynamical systems Condensed matter Atoms Mathematical Methods in Physics Numerical and Computational Physics, Simulation Complex Systems Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics |
| ISBN | 3-540-49203-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Microscopic reversibility and macroscopic behavior: Physical explanatoins and mathematical derivations -- Twenty-five years of non-equilibrium statistical mechanics: Towards a better understanding of dense fluids -- Models for dissipation in quantum mechanics -- Brownian motion theory: Properties of nonlinear Langevin equations -- Non-equilibrium, phase transition, and related problem -- Simulation of the consistent Boltzmann equation for hard spheres and its extension to higher densities -- Over two decades of pattern formation, a personal perspective -- Fluctuations in the steady state -- Slow non-equilibrium dynamics -- Theory of glass transition in spin glasses, orientational glasses and structural glasses -- Evolution of order parameters in disordered spin systems — a closure procedure -- Elastic instabilities in crystal growth -- Vapor phase nucleation: Molecular mechanisms for embryo development -- Chaos in Lorentz lattice gases -- Dynamics of reptation -- Non-equilibrium fluctuations in simple fluids -- Long time tails in stress correlation functions -- New advances in Laplacian growth models -- Slow dynamics and linear relaxation -- Driven tunneling: New possibilities for coherent and incoherent quantum transport -- From the Random Sequential Adsorption to the ballistic model -- High frequency viscosity of a dilute polydisperse emulsion -- Mesoscopic theory of liquid crystals -- On the microscopic theory of phase coexistence -- A nonequilibrium phase transition induced by multiplicative noise -- Electric field domains in superlattices: Dynamics -- Molecular dynamics simulation of phase separation and domain growth -- Finite-size effects in the Kardar-Parisi-Zhang equation -- Competing scaling behaviours in the late stage of growth kinetics -- Stretched-exponential relaxation of transient electric birefringence in polymer-like reverse micelles. |
| Record Nr. | UNISA-996466687103316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Entropy, large deviations, and statistical mechanics / Richard S. Ellis
| Entropy, large deviations, and statistical mechanics / Richard S. Ellis |
| Autore | Ellis, Richard Steven |
| Pubbl/distr/stampa | Berlin ; New York : Springer, c2006 |
| Descrizione fisica | xiv, 364 p. : ill. ; 24 cm |
| Disciplina | 530.1/3 |
| Collana | Classics in mathematics, 1431-0821 |
| Soggetto topico |
Large deviations
Statistical mechanics Entropy |
| ISBN | 9783540290599 (softcover : alk. paper) |
| Classificazione |
LC QA273.67
53.1.62 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001635219707536 |
Ellis, Richard Steven
|
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| Berlin ; New York : Springer, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Finite size scaling and numerical simulation of statistical systems / / editor, V. Privman
| Finite size scaling and numerical simulation of statistical systems / / editor, V. Privman |
| Pubbl/distr/stampa | Singapore : , : World Scientific, , 1998 |
| Descrizione fisica | 1 online resource (530 pages) : illustrations |
| Disciplina | 530.1/3 |
| Soggetto topico |
Finite size scaling (Statistical physics)
Phase transformations (Statistical physics) Monte Carlo method Critical phenomena (Physics) |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910155544903321 |
| Singapore : , : World Scientific, , 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Fokker-Planck Equation [[electronic resource] ] : Methods of Solution and Applications / / by Hannes Risken, Till Frank
| The Fokker-Planck Equation [[electronic resource] ] : Methods of Solution and Applications / / by Hannes Risken, Till Frank |
| Autore | Risken Hannes |
| Edizione | [2nd ed. 1996.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1996 |
| Descrizione fisica | 1 online resource (XIV, 472 p. 3 illus.) |
| Disciplina | 530.1/3 |
| Collana | Springer Series in Synergetics |
| Soggetto topico |
Probabilities
Physics Statistical physics Dynamical systems Applied mathematics Engineering mathematics Probability Theory and Stochastic Processes Applied and Technical Physics Complex Systems Mathematical Methods in Physics Applications of Mathematics Statistical Physics and Dynamical Systems |
| ISBN | 3-642-61544-9 |
| Classificazione |
58G32
60J65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1 Brownian Motion -- 1.2 Fokker-Planck Equation -- 1.3 Boltzmann Equation -- 1.4 Master Equation -- 2. Probability Theory -- 2.1 Random Variable and Probability Density -- 2.2 Characteristic Function and Cumulants -- 2.3 Generalization to Several Random Variables -- 2.4 Time-Dependent Random Variables -- 2.5 Several Time-Dependent Random Variables -- 3. Langevin Equations -- 3.1 Langevin Equation for Brownian Motion -- 3.2 Ornstein-Uhlenbeck Process -- 3.3 Nonlinear Langevin Equation, One Variable -- 3.4 Nonlinear Langevin Equations, Several Variables -- 3.5 Markov Property -- 3.6 Solutions of the Langevin Equation by Computer Simulation -- 4. Fokker-Planck Equation -- 4.1 Kramers-Moyal Forward Expansion -- 4.2 Kramers-Moyal Backward Expansion -- 4.3 Pawula Theorem -- 4.4 Fokker-Planck Equation for One Variable -- 4.5 Generation and Recombination Processes -- 4.6 Application of Truncated Kramers-Moyal Expansions -- 4.7 Fokker-Planck Equation for N Variables -- 4.8 Examples for Fokker-Planck Equations with Several Variables -- 4.9 Transformation of Variables -- 4.10 Covariant Form of the Fokker-Planck Equation -- 5. Fokker-Planck Equation for One Variable; Methods of Solution -- 5.1 Normalization -- 5.2 Stationary Solution -- 5.3 Ornstein-Uhlenbeck Process -- 5.4 Eigenfunction Expansion -- 5.5 Examples -- 5.6 Jump Conditions -- 5.7 A Bistable Model Potential -- 5.8 Eigenfunctions and Eigenvalues of Inverted Potentials -- 5.9 Approximate and Numerical Methods for Determining Eigenvalues and Eigenfunctions -- 5.10 Diffusion Over a Barrier -- 6. Fokker-Planck Equation for Several Variables; Methods of Solution -- 6.1 Approach of the Solutions to a Limit Solution -- 6.2 Expansion into a Biorthogonal Set -- 6.3 Transformation of the Fokker-Planck Operator, Eigenfunction Expansions -- 6.4 Detailed Balance -- 6.5 Ornstein-Uhlenbeck Process -- 6.6 Further Methods for Solving the Fokker-Planck Equation -- 7. Linear Response and Correlation Functions -- 7.1 Linear Response Function -- 7.2 Correlation Functions -- 7.3 Susceptibility -- 8. Reduction of the Number of Variables -- 8.1 First-Passage Time Problems -- 8.2 Drift and Diffusion Coefficients Independent of Some Variables -- 8.3 Adiabatic Elimination of Fast Variables -- 9. Solutions of Tridiagonal Recurrence Relations, Application to Ordinary and Partial Differential Equations -- 9.1 Applications and Forms of Tridiagonal Recurrence Relations -- 9.2 Solutions of Scalar Recurrence Relations -- 9.3 Solutions of Vector Recurrence Relations -- 9.4 Ordinary and Partial Differential Equations with Multiplicative Harmonic Time-Dependent Parameters -- 9.5 Methods for Calculating Continued Fractions -- 10. Solutions of the Kramers Equation -- 10.1 Forms of the Kramers Equation -- 10.2 Solutions for a Linear Force -- 10.3 Matrix Continued-Fraction Solutions of the Kramers Equation -- 10.4 Inverse Friction Expansion -- 11. Brownian Motion in Periodic Potentials -- 11.1 Applications -- 11.2 Normalization of the Langevin and Fokker-Planck Equations -- 11.3 High-Friction Limit -- 11.4 Low-Friction Limit -- 11.5 Stationary Solutions for Arbitrary Friction -- 11.6 Bistability between Running and Locked Solution -- 11.7 Instationary Solutions -- 11.8 Susceptibilities -- 11.9 Eigenvalues and Eigenfunctions -- 12. Statistical Properties of Laser Light -- 12.1 Semiclassical Laser Equations -- 12.2 Stationary Solution and Its Expectation Values -- 12.3 Expansion in Eigenmodes -- 12.4 Expansion into a Complete Set; Solution by Matrix Continued Fractions -- 12.5 Transient Solution -- 12.6 Photoelectron Counting Distribution -- Appendices -- A1 Stochastic Differential Equations with Colored Gaussian Noise -- A2 Boltzmann Equation with BGK and SW Collision Operators -- A3 Evaluation of a Matrix Continued Fraction for the Harmonic Oscillator -- A4 Damped Quantum-Mechanical Harmonic Oscillator -- A5 Alternative Derivation of the Fokker-Planck Equation -- A6 Fluctuating Control Parameter -- S. Supplement to the Second Edition -- S.1 Solutions of the Fokker-Planck Equation by Computer Simulation (Sect. 3.6) -- S.2 Kramers-Moyal Expansion (Sect. 4.6) -- S.3 Example for the Covariant Form of the Fokker-Planck Equation (Sect. 4.10) -- S.4 Connection to Supersymmetry and Exact Solutions of the One Variable Fokker-Planck Equation (Chap. 5) -- S.5 Nondifferentiability of the Potential for the Weak Noise Expansion (Sects. 6.6 and 6.7) -- S.6 Further Applications of Matrix Continued-Fractions (Chap. 9) -- S.7 Brownian Motion in a Double-Well Potential (Chaps. 10 and 11) -- S.8 Boundary Layer Theory (Sect. 11.4) -- S.9 Calculation of Correlation Times (Sect. 7.12) -- S.10 Colored Noise (Appendix A1) -- S.11 Fokker-Planck Equation with a Non-Positive-Definite Diffusion Matrix and Fokker-Planck Equation with Additional Third-Order-Derivative Terms -- References. |
| Record Nr. | UNINA-9910480889103321 |
|
Risken Hannes
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Fokker-Planck Equation [[electronic resource] ] : Methods of Solution and Applications / / by Hannes Risken, Till Frank
| The Fokker-Planck Equation [[electronic resource] ] : Methods of Solution and Applications / / by Hannes Risken, Till Frank |
| Autore | Risken Hannes |
| Edizione | [2nd ed. 1996.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1996 |
| Descrizione fisica | 1 online resource (XIV, 472 p. 3 illus.) |
| Disciplina | 530.1/3 |
| Collana | Springer Series in Synergetics |
| Soggetto topico |
Probabilities
Physics Statistical physics Dynamical systems Applied mathematics Engineering mathematics Probability Theory and Stochastic Processes Applied and Technical Physics Complex Systems Mathematical Methods in Physics Applications of Mathematics Statistical Physics and Dynamical Systems |
| ISBN | 3-642-61544-9 |
| Classificazione |
58G32
60J65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1 Brownian Motion -- 1.2 Fokker-Planck Equation -- 1.3 Boltzmann Equation -- 1.4 Master Equation -- 2. Probability Theory -- 2.1 Random Variable and Probability Density -- 2.2 Characteristic Function and Cumulants -- 2.3 Generalization to Several Random Variables -- 2.4 Time-Dependent Random Variables -- 2.5 Several Time-Dependent Random Variables -- 3. Langevin Equations -- 3.1 Langevin Equation for Brownian Motion -- 3.2 Ornstein-Uhlenbeck Process -- 3.3 Nonlinear Langevin Equation, One Variable -- 3.4 Nonlinear Langevin Equations, Several Variables -- 3.5 Markov Property -- 3.6 Solutions of the Langevin Equation by Computer Simulation -- 4. Fokker-Planck Equation -- 4.1 Kramers-Moyal Forward Expansion -- 4.2 Kramers-Moyal Backward Expansion -- 4.3 Pawula Theorem -- 4.4 Fokker-Planck Equation for One Variable -- 4.5 Generation and Recombination Processes -- 4.6 Application of Truncated Kramers-Moyal Expansions -- 4.7 Fokker-Planck Equation for N Variables -- 4.8 Examples for Fokker-Planck Equations with Several Variables -- 4.9 Transformation of Variables -- 4.10 Covariant Form of the Fokker-Planck Equation -- 5. Fokker-Planck Equation for One Variable; Methods of Solution -- 5.1 Normalization -- 5.2 Stationary Solution -- 5.3 Ornstein-Uhlenbeck Process -- 5.4 Eigenfunction Expansion -- 5.5 Examples -- 5.6 Jump Conditions -- 5.7 A Bistable Model Potential -- 5.8 Eigenfunctions and Eigenvalues of Inverted Potentials -- 5.9 Approximate and Numerical Methods for Determining Eigenvalues and Eigenfunctions -- 5.10 Diffusion Over a Barrier -- 6. Fokker-Planck Equation for Several Variables; Methods of Solution -- 6.1 Approach of the Solutions to a Limit Solution -- 6.2 Expansion into a Biorthogonal Set -- 6.3 Transformation of the Fokker-Planck Operator, Eigenfunction Expansions -- 6.4 Detailed Balance -- 6.5 Ornstein-Uhlenbeck Process -- 6.6 Further Methods for Solving the Fokker-Planck Equation -- 7. Linear Response and Correlation Functions -- 7.1 Linear Response Function -- 7.2 Correlation Functions -- 7.3 Susceptibility -- 8. Reduction of the Number of Variables -- 8.1 First-Passage Time Problems -- 8.2 Drift and Diffusion Coefficients Independent of Some Variables -- 8.3 Adiabatic Elimination of Fast Variables -- 9. Solutions of Tridiagonal Recurrence Relations, Application to Ordinary and Partial Differential Equations -- 9.1 Applications and Forms of Tridiagonal Recurrence Relations -- 9.2 Solutions of Scalar Recurrence Relations -- 9.3 Solutions of Vector Recurrence Relations -- 9.4 Ordinary and Partial Differential Equations with Multiplicative Harmonic Time-Dependent Parameters -- 9.5 Methods for Calculating Continued Fractions -- 10. Solutions of the Kramers Equation -- 10.1 Forms of the Kramers Equation -- 10.2 Solutions for a Linear Force -- 10.3 Matrix Continued-Fraction Solutions of the Kramers Equation -- 10.4 Inverse Friction Expansion -- 11. Brownian Motion in Periodic Potentials -- 11.1 Applications -- 11.2 Normalization of the Langevin and Fokker-Planck Equations -- 11.3 High-Friction Limit -- 11.4 Low-Friction Limit -- 11.5 Stationary Solutions for Arbitrary Friction -- 11.6 Bistability between Running and Locked Solution -- 11.7 Instationary Solutions -- 11.8 Susceptibilities -- 11.9 Eigenvalues and Eigenfunctions -- 12. Statistical Properties of Laser Light -- 12.1 Semiclassical Laser Equations -- 12.2 Stationary Solution and Its Expectation Values -- 12.3 Expansion in Eigenmodes -- 12.4 Expansion into a Complete Set; Solution by Matrix Continued Fractions -- 12.5 Transient Solution -- 12.6 Photoelectron Counting Distribution -- Appendices -- A1 Stochastic Differential Equations with Colored Gaussian Noise -- A2 Boltzmann Equation with BGK and SW Collision Operators -- A3 Evaluation of a Matrix Continued Fraction for the Harmonic Oscillator -- A4 Damped Quantum-Mechanical Harmonic Oscillator -- A5 Alternative Derivation of the Fokker-Planck Equation -- A6 Fluctuating Control Parameter -- S. Supplement to the Second Edition -- S.1 Solutions of the Fokker-Planck Equation by Computer Simulation (Sect. 3.6) -- S.2 Kramers-Moyal Expansion (Sect. 4.6) -- S.3 Example for the Covariant Form of the Fokker-Planck Equation (Sect. 4.10) -- S.4 Connection to Supersymmetry and Exact Solutions of the One Variable Fokker-Planck Equation (Chap. 5) -- S.5 Nondifferentiability of the Potential for the Weak Noise Expansion (Sects. 6.6 and 6.7) -- S.6 Further Applications of Matrix Continued-Fractions (Chap. 9) -- S.7 Brownian Motion in a Double-Well Potential (Chaps. 10 and 11) -- S.8 Boundary Layer Theory (Sect. 11.4) -- S.9 Calculation of Correlation Times (Sect. 7.12) -- S.10 Colored Noise (Appendix A1) -- S.11 Fokker-Planck Equation with a Non-Positive-Definite Diffusion Matrix and Fokker-Planck Equation with Additional Third-Order-Derivative Terms -- References. |
| Record Nr. | UNINA-9910789214003321 |
|
Risken Hannes
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Fokker-Planck Equation : Methods of Solution and Applications / / by Hannes Risken, Till Frank
| The Fokker-Planck Equation : Methods of Solution and Applications / / by Hannes Risken, Till Frank |
| Autore | Risken Hannes |
| Edizione | [2nd ed. 1996.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1996 |
| Descrizione fisica | 1 online resource (XIV, 472 p. 3 illus.) |
| Disciplina | 530.1/3 |
| Collana | Springer Series in Synergetics |
| Soggetto topico |
Probabilities
Physics Statistical physics Dynamical systems Applied mathematics Engineering mathematics Probability Theory and Stochastic Processes Applied and Technical Physics Complex Systems Mathematical Methods in Physics Applications of Mathematics Statistical Physics and Dynamical Systems |
| ISBN | 3-642-61544-9 |
| Classificazione |
58G32
60J65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1 Brownian Motion -- 1.2 Fokker-Planck Equation -- 1.3 Boltzmann Equation -- 1.4 Master Equation -- 2. Probability Theory -- 2.1 Random Variable and Probability Density -- 2.2 Characteristic Function and Cumulants -- 2.3 Generalization to Several Random Variables -- 2.4 Time-Dependent Random Variables -- 2.5 Several Time-Dependent Random Variables -- 3. Langevin Equations -- 3.1 Langevin Equation for Brownian Motion -- 3.2 Ornstein-Uhlenbeck Process -- 3.3 Nonlinear Langevin Equation, One Variable -- 3.4 Nonlinear Langevin Equations, Several Variables -- 3.5 Markov Property -- 3.6 Solutions of the Langevin Equation by Computer Simulation -- 4. Fokker-Planck Equation -- 4.1 Kramers-Moyal Forward Expansion -- 4.2 Kramers-Moyal Backward Expansion -- 4.3 Pawula Theorem -- 4.4 Fokker-Planck Equation for One Variable -- 4.5 Generation and Recombination Processes -- 4.6 Application of Truncated Kramers-Moyal Expansions -- 4.7 Fokker-Planck Equation for N Variables -- 4.8 Examples for Fokker-Planck Equations with Several Variables -- 4.9 Transformation of Variables -- 4.10 Covariant Form of the Fokker-Planck Equation -- 5. Fokker-Planck Equation for One Variable; Methods of Solution -- 5.1 Normalization -- 5.2 Stationary Solution -- 5.3 Ornstein-Uhlenbeck Process -- 5.4 Eigenfunction Expansion -- 5.5 Examples -- 5.6 Jump Conditions -- 5.7 A Bistable Model Potential -- 5.8 Eigenfunctions and Eigenvalues of Inverted Potentials -- 5.9 Approximate and Numerical Methods for Determining Eigenvalues and Eigenfunctions -- 5.10 Diffusion Over a Barrier -- 6. Fokker-Planck Equation for Several Variables; Methods of Solution -- 6.1 Approach of the Solutions to a Limit Solution -- 6.2 Expansion into a Biorthogonal Set -- 6.3 Transformation of the Fokker-Planck Operator, Eigenfunction Expansions -- 6.4 Detailed Balance -- 6.5 Ornstein-Uhlenbeck Process -- 6.6 Further Methods for Solving the Fokker-Planck Equation -- 7. Linear Response and Correlation Functions -- 7.1 Linear Response Function -- 7.2 Correlation Functions -- 7.3 Susceptibility -- 8. Reduction of the Number of Variables -- 8.1 First-Passage Time Problems -- 8.2 Drift and Diffusion Coefficients Independent of Some Variables -- 8.3 Adiabatic Elimination of Fast Variables -- 9. Solutions of Tridiagonal Recurrence Relations, Application to Ordinary and Partial Differential Equations -- 9.1 Applications and Forms of Tridiagonal Recurrence Relations -- 9.2 Solutions of Scalar Recurrence Relations -- 9.3 Solutions of Vector Recurrence Relations -- 9.4 Ordinary and Partial Differential Equations with Multiplicative Harmonic Time-Dependent Parameters -- 9.5 Methods for Calculating Continued Fractions -- 10. Solutions of the Kramers Equation -- 10.1 Forms of the Kramers Equation -- 10.2 Solutions for a Linear Force -- 10.3 Matrix Continued-Fraction Solutions of the Kramers Equation -- 10.4 Inverse Friction Expansion -- 11. Brownian Motion in Periodic Potentials -- 11.1 Applications -- 11.2 Normalization of the Langevin and Fokker-Planck Equations -- 11.3 High-Friction Limit -- 11.4 Low-Friction Limit -- 11.5 Stationary Solutions for Arbitrary Friction -- 11.6 Bistability between Running and Locked Solution -- 11.7 Instationary Solutions -- 11.8 Susceptibilities -- 11.9 Eigenvalues and Eigenfunctions -- 12. Statistical Properties of Laser Light -- 12.1 Semiclassical Laser Equations -- 12.2 Stationary Solution and Its Expectation Values -- 12.3 Expansion in Eigenmodes -- 12.4 Expansion into a Complete Set; Solution by Matrix Continued Fractions -- 12.5 Transient Solution -- 12.6 Photoelectron Counting Distribution -- Appendices -- A1 Stochastic Differential Equations with Colored Gaussian Noise -- A2 Boltzmann Equation with BGK and SW Collision Operators -- A3 Evaluation of a Matrix Continued Fraction for the Harmonic Oscillator -- A4 Damped Quantum-Mechanical Harmonic Oscillator -- A5 Alternative Derivation of the Fokker-Planck Equation -- A6 Fluctuating Control Parameter -- S. Supplement to the Second Edition -- S.1 Solutions of the Fokker-Planck Equation by Computer Simulation (Sect. 3.6) -- S.2 Kramers-Moyal Expansion (Sect. 4.6) -- S.3 Example for the Covariant Form of the Fokker-Planck Equation (Sect. 4.10) -- S.4 Connection to Supersymmetry and Exact Solutions of the One Variable Fokker-Planck Equation (Chap. 5) -- S.5 Nondifferentiability of the Potential for the Weak Noise Expansion (Sects. 6.6 and 6.7) -- S.6 Further Applications of Matrix Continued-Fractions (Chap. 9) -- S.7 Brownian Motion in a Double-Well Potential (Chaps. 10 and 11) -- S.8 Boundary Layer Theory (Sect. 11.4) -- S.9 Calculation of Correlation Times (Sect. 7.12) -- S.10 Colored Noise (Appendix A1) -- S.11 Fokker-Planck Equation with a Non-Positive-Definite Diffusion Matrix and Fokker-Planck Equation with Additional Third-Order-Derivative Terms -- References. |
| Record Nr. | UNINA-9910807833403321 |
|
Risken Hannes
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
From microphysics to macrophysics : methods and applications of statistical physics / Roger Balian ; translated by D. ter Haar and J.F. Gregg
| From microphysics to macrophysics : methods and applications of statistical physics / Roger Balian ; translated by D. ter Haar and J.F. Gregg |
| Autore | Balian, Roger |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, c1991-c1992 |
| Descrizione fisica | 2 v. : ill. ; 24 cm |
| Disciplina | 530.1/3 |
| Collana | Texts and monographs in physics |
| Soggetto topico |
Statistical physics
Microphysics |
| ISBN |
3540532668 (v. 1)
3540535993 (v. 2) |
| Classificazione | LC QC174.8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNISALENTO-991003788899707536 |
|
Balian, Roger
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| Berlin ; New York : Springer-Verlag, c1991-c1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland
| Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland |
| Autore | Folland Gerald B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (289 pages) : illustrations |
| Disciplina | 530.1/3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Phase space (Statistical physics)
Harmonic analysis |
| Soggetto non controllato |
Analytic continuation
Analytic function Antisymmetric tensor Asymptotic expansion Automorphism Bilinear form Bounded operator Calculation Canonical commutation relation Canonical transformation Cauchy–Riemann equations Cayley transform Class function (algebra) Classical mechanics Commutative property Complex analysis Configuration space Differential equation Differential geometry Differential operator Eigenvalues and eigenvectors Equation Explicit formula Fock space Fourier analysis Fourier integral operator Fourier transform Functional analysis Gaussian function Gaussian integral Geometric quantization Hamiltonian mechanics Hamiltonian vector field Harmonic analysis Heisenberg group Hermite polynomials Hermitian symmetric space Hilbert space Hilbert transform Integral transform Invariant subspace Irreducible representation Lebesgue measure Lie algebra Lie superalgebra Lie theory Mathematical physics Number theory Observable Ordinary differential equation Orthonormal basis Oscillator representation Oscillatory integral Partial differential equation Phase factor Phase space Point at infinity Poisson bracket Polynomial Power series Probability Projection (linear algebra) Projective Hilbert space Projective representation Projective space Pseudo-differential operator Pullback (category theory) Quadratic function Quantum harmonic oscillator Quantum mechanics Representation theory Schrödinger equation Self-adjoint operator Semigroup Several complex variables Siegel disc Sobolev space Spectral theorem Spectral theory State-space representation Stone's theorem Stone–Weierstrass theorem Summation Symmetric space Symmetric tensor Symplectic geometry Symplectic group Symplectic vector space Symplectomorphism Tangent space Tangent vector Theorem Translational symmetry Unbounded operator Unit vector Unitarity (physics) Unitary operator Unitary representation Variable (mathematics) Wave packet |
| ISBN | 1-4008-8242-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- PROLOGUE. SOME MATTERS OF NOTATION -- CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS -- CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS -- CHAPTER 3. WAVE PACKETS AND WAVE FRONTS -- CHAPTER 4. THE METAPLECTIC REPRESENTATION -- CHAPTER 5. THE OSCILLATOR SEMIGROUP -- APPENDIX A. GAUSSIAN INTEGRALS AND A LEMMA ON DETERMINANTS -- APPENDIX B. SOME HILBERT SPACE RESULTS -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154752303321 |
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Folland Gerald B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Phase transitions and critical phenomena / edited by C. Domb and Melville S. Green
| Phase transitions and critical phenomena / edited by C. Domb and Melville S. Green |
| Pubbl/distr/stampa | London ; New York : Academic Press, 1972-c2001 |
| Descrizione fisica | 20 v. : ill. ; 24 cm |
| Disciplina | 530.1/3 |
| Altri autori (Persone) |
Domb, Cyril
Green, Melville S. |
| Soggetto topico |
Phase transformations (Statistical physics)
Critical phenomena (Physics) |
| Classificazione | LC QC175.16.P5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001985659707536 |
| London ; New York : Academic Press, 1972-c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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