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Far from Equilibrium Phase Transitions [[electronic resource] ] : Proceedings of the Xth Sitges Conference on Statistical Mechanics, Sitges, Barcelona, Spain, June 6–10, 1988 / / edited by Luis Garrido
Far from Equilibrium Phase Transitions [[electronic resource] ] : Proceedings of the Xth Sitges Conference on Statistical Mechanics, Sitges, Barcelona, Spain, June 6–10, 1988 / / edited by Luis Garrido
Edizione [1st ed. 1988.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1988
Descrizione fisica 1 online resource (VIII, 342 p. 17 illus.)
Disciplina 536.7
Collana Lecture Notes in Physics
Soggetto topico Thermodynamics
Statistical physics
Dynamical systems
Quantum computers
Spintronics
Quantum physics
Complex Systems
Quantum Information Technology, Spintronics
Quantum Physics
Statistical Physics and Dynamical Systems
ISBN 3-540-46060-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto A review of current issues in the quantum theory of envelope solitons -- Fluctuations in the transient dynamics of nonlinear optical systems -- Theoretical methods in pattern formation in Physics, Chemistry and Biology -- Two nonequilibrium phase transitions: Stochastic Hopf bifurcation and onset of relaxation oscillations in the diffusive sine-Gordon model -- Exactly solvable multistable Fokker-Planck models with arbitrarily prescribed N lowest eigenvalues -- Phase and frequency dynamics in laser instabilities -- Fluctuations and critical phenomena in reaction-diffusion systems -- From deterministic chaos to noise in retarded feedback systems -- Non-local and non-linear problems in the physics of disordered media -- Convection in binary mixtures propagating and standing patterns -- Time-dependent phase transitions -- Quantum treatment of dispersive optical bistability -- Spontaneous symmetry breaking and spatial structures in optical systems -- Scaling for an interfacial instability -- Field theory for growth kinetics.
Record Nr. UNISA-996466820203316
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1988
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Fluctuations and Non-Equilibrium Phenomena in Strongly-Correlated Ultracold Atoms [[electronic resource] /] / by Kazuma Nagao
Fluctuations and Non-Equilibrium Phenomena in Strongly-Correlated Ultracold Atoms [[electronic resource] /] / by Kazuma Nagao
Autore Nagao Kazuma
Edizione [1st ed. 2020.]
Pubbl/distr/stampa Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020
Descrizione fisica 1 online resource (126 pages)
Disciplina 530.43078
Collana Springer Theses, Recognizing Outstanding Ph.D. Research
Soggetto topico Phase transformations (Statistical physics)
Condensed materials
Superconductivity
Superconductors
Phase transitions (Statistical physics)
Statistical physics
Quantum Gases and Condensates
Strongly Correlated Systems, Superconductivity
Phase Transitions and Multiphase Systems
Statistical Physics and Dynamical Systems
ISBN 981-15-7171-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Ultracold Bose Gases in Optical Lattices -- Phase Space Methods for Quantum Dynamics -- Response of the Higgs Mode in a Three Dimensional Optical Lattice -- Semiclassical Quench Dynamics of Bose Gases in Optical Lattices -- Conclusions and Outlooks -- Appendix.
Record Nr. UNINA-9910427690103321
Nagao Kazuma  
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Fluctuations and Non-Equilibrium Phenomena in Strongly-Correlated Ultracold Atoms [[electronic resource] /] / by Kazuma Nagao
Fluctuations and Non-Equilibrium Phenomena in Strongly-Correlated Ultracold Atoms [[electronic resource] /] / by Kazuma Nagao
Autore Nagao Kazuma
Edizione [1st ed. 2020.]
Pubbl/distr/stampa Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020
Descrizione fisica 1 online resource (126 pages)
Disciplina 530.43078
Collana Springer Theses, Recognizing Outstanding Ph.D. Research
Soggetto topico Phase transformations (Statistical physics)
Condensed materials
Superconductivity
Superconductors
Phase transitions (Statistical physics)
Statistical physics
Quantum Gases and Condensates
Strongly Correlated Systems, Superconductivity
Phase Transitions and Multiphase Systems
Statistical Physics and Dynamical Systems
ISBN 981-15-7171-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Ultracold Bose Gases in Optical Lattices -- Phase Space Methods for Quantum Dynamics -- Response of the Higgs Mode in a Three Dimensional Optical Lattice -- Semiclassical Quench Dynamics of Bose Gases in Optical Lattices -- Conclusions and Outlooks -- Appendix.
Record Nr. UNISA-996418432303316
Nagao Kazuma  
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020
Materiale a stampa
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Fluid Flow Through Porous Macromolecular Systems [[electronic resource] /] / by F.W. Wiegel
Fluid Flow Through Porous Macromolecular Systems [[electronic resource] /] / by F.W. Wiegel
Autore Wiegel F.W
Edizione [1st ed. 1980.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1980
Descrizione fisica 1 online resource (V, 106 p.)
Disciplina 536.7
Collana Lecture Notes in Physics
Soggetto topico Thermodynamics
Statistical physics
Dynamical systems
Complex Systems
Statistical Physics and Dynamical Systems
ISBN 3-540-39203-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto A: General considerations -- B: Flow through isolated macromolecular coils in solution -- C: Hydrodynamics of a permeable complex in the cell membrane.
Record Nr. UNINA-9910257451403321
Wiegel F.W  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1980
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Fluid Flow Through Porous Macromolecular Systems [[electronic resource] /] / by F.W. Wiegel
Fluid Flow Through Porous Macromolecular Systems [[electronic resource] /] / by F.W. Wiegel
Autore Wiegel F.W
Edizione [1st ed. 1980.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1980
Descrizione fisica 1 online resource (V, 106 p.)
Disciplina 536.7
Collana Lecture Notes in Physics
Soggetto topico Thermodynamics
Statistical physics
Dynamical systems
Complex Systems
Statistical Physics and Dynamical Systems
ISBN 3-540-39203-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto A: General considerations -- B: Flow through isolated macromolecular coils in solution -- C: Hydrodynamics of a permeable complex in the cell membrane.
Record Nr. UNISA-996466796203316
Wiegel F.W  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1980
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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-9910807833403321
Risken Hannes  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Formulation of Statistical Mechanics Based on Thermal Pure Quantum States [[electronic resource] /] / by Sho Sugiura
Formulation of Statistical Mechanics Based on Thermal Pure Quantum States [[electronic resource] /] / by Sho Sugiura
Autore Sugiura Sho
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (XII, 73 p. 4 illus. in color.)
Disciplina 530.12
Collana Springer Theses, Recognizing Outstanding Ph.D. Research
Soggetto topico Quantum physics
Statistical physics
Dynamical systems
Phase transformations (Statistical physics)
Condensed materials
Superconductivity
Superconductors
Quantum Physics
Complex Systems
Quantum Gases and Condensates
Strongly Correlated Systems, Superconductivity
Statistical Physics and Dynamical Systems
ISBN 981-10-1506-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction to thermal pure quantum state formulation of statistical mechanics -- Typicality And Ergodicity -- Canonical Thermal Pure Quantum State -- Microcanonical Thermal Pure Quantum State -- Equilibrium State And Entanglement -- Relation Among TPQ States -- Application To Numerical Calculation -- Conclusion. .
Record Nr. UNINA-9910254587403321
Sugiura Sho  
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Frontiers and Challenges in Warm Dense Matter [[electronic resource] /] / edited by Frank Graziani, Michael P. Desjarlais, Ronald Redmer, Samuel B. Trickey
Frontiers and Challenges in Warm Dense Matter [[electronic resource] /] / edited by Frank Graziani, Michael P. Desjarlais, Ronald Redmer, Samuel B. Trickey
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (294 p.)
Disciplina 530.44
Collana Lecture Notes in Computational Science and Engineering
Soggetto topico Computer mathematics
Quantum physics
Statistical physics
Dynamical systems
Superconductivity
Superconductors
Computational Science and Engineering
Quantum Physics
Complex Systems
Strongly Correlated Systems, Superconductivity
Statistical Physics and Dynamical Systems
ISBN 3-319-04912-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Carsten A. Ullrich, Time-dependent density-functional theory: features and challenges, with a special view on matter under extreme conditions -- Aurora Pribram-Jones, Stefano Pittalis, E.K.U. Gross, and Kieron Burke, Thermal Density Functional Theory in Context -- Valentin V. Karasiev, Travis Sjostrom, Debajit Chakraborty, James W. Dufty, Keith Runge, Frank E. Harris, and S.B. Trickey, Innovations in Finite-Temperature Density Functionals -- Hannes Schulz and Andreas Görling, Toward a comprehensive treatment of temperature in electronic structure calculations: Non-zero-temperature Hartree-Fock and exact-exchange Kohn-Sham methods -- Ethan Brown, Miguel A Morales, Carlo Pierleoni, and David Ceperley, Quantum Monte Carlo techniques and applications for warm dense matter -- D. Saumon, C.E. Starrett, J.A. Anta, W. Daughton and G. Chabrier, The structure of warm dense matter modeled with an average atom model with ion-ion correlations -- Carsten Fortmann, Dynamical structure factor in High Energy Density Plasmas and application to X-Ray Thomson Scattering -- Winfried Lorenzen, Andreas Becker, and Ronald Redmer, Progress in Warm Dense Matter and Planetary Physics -- Tomorr Haxhimali and Robert E. Rudd, Diffusivity of Mixtures in Warm Dense Matter Regime -- Paul E. Grabowski, A Review of Wave Packet Molecular Dynamics.
Record Nr. UNINA-9910300155303321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui