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MARC Lista (tabellare)
The noisy oscillator [[electronic resource] ] : the first hundred years, from Einstein until now / / Moshe Gitterman
The noisy oscillator [[electronic resource] ] : the first hundred years, from Einstein until now / / Moshe Gitterman
Autore Gitterman M
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, c2005
Descrizione fisica 1 online resource (159 p.)
Disciplina 519.23
530.13
Soggetto topico Statistical mechanics
Stochastic differential equations
Oscillations
Noise
ISBN 1-281-89919-4
9786611899196
981-270-322-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Deterministic and random oscillators; 2. White and colored noise; 3. Brownian motion; 4. Overdamped harmonic oscillator with additive noise; 5. Overdamped harmonic oscillator with multiplicative noise; 6. Overdamped single-well oscillator; 7. Overdamped double-well oscillator; 8. Harmonic oscillator with additive noise; 9. Nonlinear oscillator with additive noise; 10. Harmonic oscillator with random frequency; 11. Harmonic oscillator with random damping; 12. Nonlinear oscillator with multiplicative noise; 13. In the future; Bibliography; Index
Record Nr. UNINA-9910784047003321
Gitterman M  
Hackensack, NJ, : World Scientific, c2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The noisy oscillator [[electronic resource] ] : the first hundred years, from Einstein until now / / Moshe Gitterman
The noisy oscillator [[electronic resource] ] : the first hundred years, from Einstein until now / / Moshe Gitterman
Autore Gitterman M
Edizione [1st ed.]
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, c2005
Descrizione fisica 1 online resource (159 p.)
Disciplina 519.23
530.13
Soggetto topico Statistical mechanics
Stochastic differential equations
Oscillations
Noise
ISBN 1-281-89919-4
9786611899196
981-270-322-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Deterministic and random oscillators; 2. White and colored noise; 3. Brownian motion; 4. Overdamped harmonic oscillator with additive noise; 5. Overdamped harmonic oscillator with multiplicative noise; 6. Overdamped single-well oscillator; 7. Overdamped double-well oscillator; 8. Harmonic oscillator with additive noise; 9. Nonlinear oscillator with additive noise; 10. Harmonic oscillator with random frequency; 11. Harmonic oscillator with random damping; 12. Nonlinear oscillator with multiplicative noise; 13. In the future; Bibliography; Index
Record Nr. UNINA-9910809418803321
Gitterman M  
Hackensack, NJ, : World Scientific, c2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A non-equilibrium statistical mechanics [[electronic resource] ] : without the assumption of molecular chaos / / Tian-Quan Chen
A non-equilibrium statistical mechanics [[electronic resource] ] : without the assumption of molecular chaos / / Tian-Quan Chen
Autore Chen Tian-Quan
Pubbl/distr/stampa River Edge, N.J., : World Scientific, c2003
Descrizione fisica 1 online resource (xvi, 420 p.)
Disciplina 530.13
Soggetto topico Statistical mechanics
Sturm-Liouville equation
Soggetto genere / forma Electronic books.
ISBN 1-281-93562-X
9786611935627
981-279-519-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Introduction. 1.1. Historical background. 1.2. Outline of the book -- 2. H-functional. 2.1. Hydrodynamic random fields. 2.2. H-Functional -- 3. H-functional equation. 3.1. Derivation of H-functional equation. 3.2. H-functional equation. 3.3. Balance equations. 3.4. Reformulation -- 4. K-Functional. 4.1. Definition of K-functional -- 5. Some useful formulas. 5.1. Some useful formulas. 5.2. A remark on H-functional equation -- 6. Turbulent Gibbs distributions. 6.1. Asymptotic analysis for Liouville equation. 6.2. Turbulent Gibbs distributions. 6.3. Gibbs mean -- 7. Euler K-functional equation. 7.1. Expressions of B[symbol] and B[symbol]. 7.2. Euler K-functional equation. 7.3. Reformulation. 7.4. Special cases. 7.5. Case of deterministic flows -- 8. Functionals and distributions. 8.1. K-functionals and turbulent Gibbs distributions. 8.2. Turbulent Gibbs measures. 8.3. Asymptotic analysis -- 9. Local stationary Liouville equation. 9.1. Gross determinism. 9.2. Temporal part of material derivative of T[symbol]. 9.3 Spatial part of material derivative of T[symbol]. 9.4. Stationary local Liouville equation -- 10. Second order approximate solutions. 10.1. Case of Reynolds-Gibbs distributions. 10.2. A poly-spherical coordinate system. 10.3. A solution to the equation (10.24)[symbol]. 10.4. A solution to the equation (10.24)[symbol]. 10.5. A solution to the equation (10.24)[symbol]. 10.6. A solution to the equation (10.24)[symbol]. 10.7. A solution to the equation (10.24)[symbol]. 10.8. A solution to the equation (10.24)[symbol]. 10.9. Equipartition of energy -- 11. A finer K-functional equation. 11.1. The expression of B[symbol]. 11.2. The contribution of G[symbol] to B[symbol]. 11.3. The contribution of G[symbol] to B[symbol]. 11.4. The contribution of G[symbol] to B[symbol]. 11.5. The expression of B[symbol]. 11.6. The contribution of G[symbol] to B[symbol]. 11.7. The contribution of G[symbol] to B[symbol]. 11.8. The contribution of G[symbol] to B[symbol]. 11.9. The contribution of G[symbol] to B[symbol]. 11.10. The contribution of G[symbol] to B[symbol]. 11.11. The contribution of G[symbol] to B[symbol]. 11.12. A finer K-functional equation -- 12. Conclusions. 12.1. A view on turbulence. 12.2. Features of the finer K-functional equation. 12.3. Justification of the finer K-functional equation. 12.4. Open problems.
Record Nr. UNINA-9910454294703321
Chen Tian-Quan  
River Edge, N.J., : World Scientific, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A non-equilibrium statistical mechanics [[electronic resource] ] : without the assumption of molecular chaos / / Tian-Quan Chen
A non-equilibrium statistical mechanics [[electronic resource] ] : without the assumption of molecular chaos / / Tian-Quan Chen
Autore Chen Tian-Quan
Pubbl/distr/stampa River Edge, N.J., : World Scientific, c2003
Descrizione fisica 1 online resource (xvi, 420 p.)
Disciplina 530.13
Soggetto topico Statistical mechanics
Sturm-Liouville equation
ISBN 1-281-93562-X
9786611935627
981-279-519-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Introduction. 1.1. Historical background. 1.2. Outline of the book -- 2. H-functional. 2.1. Hydrodynamic random fields. 2.2. H-Functional -- 3. H-functional equation. 3.1. Derivation of H-functional equation. 3.2. H-functional equation. 3.3. Balance equations. 3.4. Reformulation -- 4. K-Functional. 4.1. Definition of K-functional -- 5. Some useful formulas. 5.1. Some useful formulas. 5.2. A remark on H-functional equation -- 6. Turbulent Gibbs distributions. 6.1. Asymptotic analysis for Liouville equation. 6.2. Turbulent Gibbs distributions. 6.3. Gibbs mean -- 7. Euler K-functional equation. 7.1. Expressions of B[symbol] and B[symbol]. 7.2. Euler K-functional equation. 7.3. Reformulation. 7.4. Special cases. 7.5. Case of deterministic flows -- 8. Functionals and distributions. 8.1. K-functionals and turbulent Gibbs distributions. 8.2. Turbulent Gibbs measures. 8.3. Asymptotic analysis -- 9. Local stationary Liouville equation. 9.1. Gross determinism. 9.2. Temporal part of material derivative of T[symbol]. 9.3 Spatial part of material derivative of T[symbol]. 9.4. Stationary local Liouville equation -- 10. Second order approximate solutions. 10.1. Case of Reynolds-Gibbs distributions. 10.2. A poly-spherical coordinate system. 10.3. A solution to the equation (10.24)[symbol]. 10.4. A solution to the equation (10.24)[symbol]. 10.5. A solution to the equation (10.24)[symbol]. 10.6. A solution to the equation (10.24)[symbol]. 10.7. A solution to the equation (10.24)[symbol]. 10.8. A solution to the equation (10.24)[symbol]. 10.9. Equipartition of energy -- 11. A finer K-functional equation. 11.1. The expression of B[symbol]. 11.2. The contribution of G[symbol] to B[symbol]. 11.3. The contribution of G[symbol] to B[symbol]. 11.4. The contribution of G[symbol] to B[symbol]. 11.5. The expression of B[symbol]. 11.6. The contribution of G[symbol] to B[symbol]. 11.7. The contribution of G[symbol] to B[symbol]. 11.8. The contribution of G[symbol] to B[symbol]. 11.9. The contribution of G[symbol] to B[symbol]. 11.10. The contribution of G[symbol] to B[symbol]. 11.11. The contribution of G[symbol] to B[symbol]. 11.12. A finer K-functional equation -- 12. Conclusions. 12.1. A view on turbulence. 12.2. Features of the finer K-functional equation. 12.3. Justification of the finer K-functional equation. 12.4. Open problems.
Record Nr. UNINA-9910782116003321
Chen Tian-Quan  
River Edge, N.J., : World Scientific, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A non-equilibrium statistical mechanics [[electronic resource] ] : without the assumption of molecular chaos / / Tian-Quan Chen
A non-equilibrium statistical mechanics [[electronic resource] ] : without the assumption of molecular chaos / / Tian-Quan Chen
Autore Chen Tian-Quan
Pubbl/distr/stampa River Edge, N.J., : World Scientific, c2003
Descrizione fisica 1 online resource (xvi, 420 p.)
Disciplina 530.13
Soggetto topico Statistical mechanics
Sturm-Liouville equation
ISBN 1-281-93562-X
9786611935627
981-279-519-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Introduction. 1.1. Historical background. 1.2. Outline of the book -- 2. H-functional. 2.1. Hydrodynamic random fields. 2.2. H-Functional -- 3. H-functional equation. 3.1. Derivation of H-functional equation. 3.2. H-functional equation. 3.3. Balance equations. 3.4. Reformulation -- 4. K-Functional. 4.1. Definition of K-functional -- 5. Some useful formulas. 5.1. Some useful formulas. 5.2. A remark on H-functional equation -- 6. Turbulent Gibbs distributions. 6.1. Asymptotic analysis for Liouville equation. 6.2. Turbulent Gibbs distributions. 6.3. Gibbs mean -- 7. Euler K-functional equation. 7.1. Expressions of B[symbol] and B[symbol]. 7.2. Euler K-functional equation. 7.3. Reformulation. 7.4. Special cases. 7.5. Case of deterministic flows -- 8. Functionals and distributions. 8.1. K-functionals and turbulent Gibbs distributions. 8.2. Turbulent Gibbs measures. 8.3. Asymptotic analysis -- 9. Local stationary Liouville equation. 9.1. Gross determinism. 9.2. Temporal part of material derivative of T[symbol]. 9.3 Spatial part of material derivative of T[symbol]. 9.4. Stationary local Liouville equation -- 10. Second order approximate solutions. 10.1. Case of Reynolds-Gibbs distributions. 10.2. A poly-spherical coordinate system. 10.3. A solution to the equation (10.24)[symbol]. 10.4. A solution to the equation (10.24)[symbol]. 10.5. A solution to the equation (10.24)[symbol]. 10.6. A solution to the equation (10.24)[symbol]. 10.7. A solution to the equation (10.24)[symbol]. 10.8. A solution to the equation (10.24)[symbol]. 10.9. Equipartition of energy -- 11. A finer K-functional equation. 11.1. The expression of B[symbol]. 11.2. The contribution of G[symbol] to B[symbol]. 11.3. The contribution of G[symbol] to B[symbol]. 11.4. The contribution of G[symbol] to B[symbol]. 11.5. The expression of B[symbol]. 11.6. The contribution of G[symbol] to B[symbol]. 11.7. The contribution of G[symbol] to B[symbol]. 11.8. The contribution of G[symbol] to B[symbol]. 11.9. The contribution of G[symbol] to B[symbol]. 11.10. The contribution of G[symbol] to B[symbol]. 11.11. The contribution of G[symbol] to B[symbol]. 11.12. A finer K-functional equation -- 12. Conclusions. 12.1. A view on turbulence. 12.2. Features of the finer K-functional equation. 12.3. Justification of the finer K-functional equation. 12.4. Open problems.
Record Nr. UNINA-9910809092803321
Chen Tian-Quan  
River Edge, N.J., : World Scientific, c2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Non-equilibrium statistical mechanics / I. Prigogine
Non-equilibrium statistical mechanics / I. Prigogine
Autore Prigogine, Ilya
Pubbl/distr/stampa New York : Interscience Publishers, c1962
Descrizione fisica 319 p. : ill. ; 24 cm.
Collana Monographs in statistical physics and thermodynamics ; 1
Soggetto topico Statistical mechanics
Classificazione 53.1.3
53.1.62
53.1.64
53.1.67
530.13
QC175.P76
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001107389707536
Prigogine, Ilya  
New York : Interscience Publishers, c1962
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Nonequilibrium statistical mechanics [[electronic resource] /] / Gene F. Mazenko
Nonequilibrium statistical mechanics [[electronic resource] /] / Gene F. Mazenko
Autore Mazenko G (Gene)
Pubbl/distr/stampa Weinheim, : Wiley-VCH
Descrizione fisica 1 online resource (498 p.)
Disciplina 530.13
Soggetto topico Nonequilibrium statistical mechanics
Statistical mechanics
ISBN 1-281-76459-0
9786611764593
3-527-61895-3
3-527-61896-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Nonequilibrium Statistical Mechanics; Contents; 1 Systems Out of Equilibrium; 1.1 Problems of Interest; 1.2 Brownian Motion; 1.2.1 Fluctuations in Equilibrium; 1.2.2 Response to Applied Forces; 1.3 References and Notes; 1.4 Problems for Chapter 1; 2 Time-Dependent Phenomena in Condensed-Matter Systems; 2.1 Linear Response Theory; 2.1.1 General Comments; 2.1.2 Linear Response Formalism; 2.1.3 Time-Translational Invariance; 2.1.4 Vector Operators; 2.1.5 Example: The Electrical Conductivity; 2.1.6 Example: Magnetic Resonance; 2.1.7 Example: Relaxation From Constrained Equilibrium
2.1.8 Field Operators2.1.9 Identification of Couplings; 2.2 Scattering Experiments; 2.2.1 Inelastic Neutron Scattering from a Fluid; 2.2.2 Electron Scattering; 2.2.3 Neutron Scattering: A More Careful Analysis; 2.2.4 Magnetic Neutron Scattering; 2.2.5 X-Ray and Light Scattering; 2.2.6 Summary of Scattering Experiments; 2.3 References and Notes; 2.4 Problems for Chapter 2; 3 General Properties of Time-Correlation Functions; 3.1 Fluctuation-Dissipation Theorem; 3.2 Symmetry Properties of Correlation Functions; 3.3 Analytic Properties of Response Functions
3.4 Symmetries of the Complex Response Function3.5 The Harmonic Oscillator; 3.6 The Relaxation Function; 3.7 Summary of Correlation Functions; 3.8 The Classical Limit; 3.9 Example: The Electrical Conductivity; 3.10 Nyquist Theorem; 3.11 Dissipation; 3.12 Static Susceptibility (Again); 3.13 Sum Rules; 3.14 References and Notes; 3.15 Problems for Chapter 3; 4 Charged Transport; 4.1 Introduction; 4.2 The Equilibrium Situation; 4.3 The Nonequilibrium Case; 4.3.1 Setting up the Problem; 4.3.2 Linear Response; 4.4 The Macroscopic Maxwell Equations; 4.5 The Drude Model; 4.5.1 Basis for Model
4.5.2 Conductivity and Dielectric Function4.5.3 The Current Correlation Function; 4.6 References and Notes; 4.7 Problems for Chapter 4; 5 Linearized Langevin and Hydrodynamical Description of Time-Correlation Functions; 5.1 Introduction; 5.2 Spin Diffusion in Itinerant Paramagnets; 5.2.1 Continuity Equation; 5.2.2 Constitutive Relation; 5.2.3 Hydrodynamic Form for Correlation Functions; 5.2.4 Green-Kubo Formula; 5.3 Langevin Equation Approach to the Theory of Irreversible Processes; 5.3.1 Choice of Variables; 5.3.2 Equations of Motion; 5.3.3 Example: Heisenberg Ferromagnet
5.3.4 Example: Classical Fluid5.3.5 Summary; 5.3.6 Generalized Langevin Equation; 5.3.7 Memory-Function Formalism; 5.3.8 Memory-Function Formalism: Summary; 5.3.9 Second Fluctuation-Dissipation Theorem; 5.4 Example: The Harmonic Oscillator; 5.5 Theorem Satisfied by the Static Part of the Memory Function; 5.6 Separation of Time Scales: The Markoff Approximation; 5.7 Example: Brownian Motion; 5.8 The Plateau-Value Problem; 5.9 Example: Hydrodynamic Behavior; Spin-Diffusion Revisited; 5.10 Estimating the Spin-Diffusion Coefficient; 5.11 References and Notes; 5.12 Problems for Chapter 5
6 Hydrodynamic Spectrum of Normal Fluids
Record Nr. UNINA-9910144724703321
Mazenko G (Gene)  
Weinheim, : Wiley-VCH
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nonequilibrium Statistical Physics [[electronic resource]]
Nonequilibrium Statistical Physics [[electronic resource]]
Autore Röpke Gerd
Pubbl/distr/stampa Hoboken, : Wiley, 2013
Descrizione fisica 1 online resource (398 p.)
Disciplina 530.13
Collana Physics textbook Nonequilibrium statistical physics
Soggetto topico Nonequilibrium statistical mechanics
Statistical mechanics
Statistical physics
Physics
Physical Sciences & Mathematics
Atomic Physics
ISBN 3-527-67139-0
1-299-31358-2
3-527-67057-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Nonequilibrium Statistical Physics; Contents; Preface; 1 Introduction; 1.1 Irreversibility: The Arrow of Time; 1.1.1 Dynamical Systems; 1.1.2 Thermodynamics; 1.1.3 Ensembles and Probability Distribution; 1.1.4 Entropy in Equilibrium Systems; 1.1.5 Fundamental Time Arrows, Units; 1.1.6 Example: Ideal Quantum Gases; 1.2 Thermodynamics of Irreversible Processes; 1.2.1 Quasiequilibrium; 1.2.2 Statistical Thermodynamics with Relevant Observables; 1.2.3 Phenomenological Description of Irreversible Processes; 1.2.4 Example: Reaction Rates
1.2.5 Principle of Weakening of Initial Correlations and the Method of Nonequilibrium Statistical OperatorExercises; 2 Stochastic Processes; 2.1 Stochastic Processes with Discrete Event Times; 2.1.1 Potentiality and Options, Chance and Probabilities; 2.1.2 Stochastic Processes; 2.1.3 Reduced Probabilities; 2.1.4 Properties of Probability Distributions: Examples; 2.1.5 Example: One-Step Process on a Discrete Space-Time Lattice and Random Walk; 2.2 Birth-and-Death Processes and Master Equation; 2.2.1 Continuous Time Limit and Master Equation; 2.2.2 Example: Radioactive Decay
2.2.3 Spectral Density and Autocorrelation Functions2.2.4 Example: Continuum Limit of Random Walk and Wiener Process; 2.2.5 Further Examples for Stochastic One-Step Processes; 2.2.6 Advanced Example: Telegraph Equation and Poisson Process; 2.3 Brownian Motion and Langevin Equation; 2.3.1 Langevin Equation; 2.3.2 Solution of the Langevin Equation by Fourier Transformation; 2.3.3 Example Calculations for a Langevin Process on Discrete Time; 2.3.4 Fokker-Planck Equation; 2.3.5 Application to Brownian Motion; 2.3.6 Important Continuous Markov Processes
2.3.7 Stochastic Differential Equations and White Noise2.3.8 Applications of Continuous Stochastic Processes; Exercises; 3 Quantum Master Equation; 3.1 Derivation of the Quantum Master Equation; 3.1.1 Open Systems Interacting with a Bath; 3.1.2 Derivation of the Quantum Master Equation; 3.1.3 Born-Markov and Rotating Wave Approximations; 3.1.4 Example: Harmonic Oscillator in a Bath; 3.1.5 Example: Atom Coupled to the Electromagnetic Field; 3.2 Properties of the Quantum Master Equation and Examples; 3.2.1 Pauli Equation; 3.2.2 Properties of the Pauli Equation, Examples
3.2.3 Discussion of the Pauli Equation3.2.4 Example: Linear Coupling to the Bath; 3.2.5 Quantum Fokker-Planck Equation; 3.2.6 Quantum Brownian Motion and the Classical Limit; Exercises; 4 Kinetic Theory; 4.1 The Boltzmann Equation; 4.1.1 Distribution Function; 4.1.2 Classical Reduced Distribution Functions; 4.1.3 Quantum Statistical Reduced Distribution Functions; 4.1.4 The Stoßzahlansatz; 4.1.5 Derivation of the Boltzmann Equation from the Nonequilibrium Statistical Operator; 4.1.6 Properties of the Boltzmann Equation; 4.1.7 Example: Hard Spheres; 4.1.8 Beyond the Boltzmann Kinetic Equation
4.2 Solutions of the Boltzmann Equation
Record Nr. UNINA-9910139056603321
Röpke Gerd  
Hoboken, : Wiley, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nonequilibrium Statistical Physics [[electronic resource]]
Nonequilibrium Statistical Physics [[electronic resource]]
Autore Röpke Gerd
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken, : Wiley, 2013
Descrizione fisica 1 online resource (398 p.)
Disciplina 530.13
Collana Physics textbook Nonequilibrium statistical physics
Soggetto topico Nonequilibrium statistical mechanics
Statistical mechanics
Statistical physics
Physics
Physical Sciences & Mathematics
Atomic Physics
ISBN 3-527-67139-0
1-299-31358-2
3-527-67057-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Nonequilibrium Statistical Physics; Contents; Preface; 1 Introduction; 1.1 Irreversibility: The Arrow of Time; 1.1.1 Dynamical Systems; 1.1.2 Thermodynamics; 1.1.3 Ensembles and Probability Distribution; 1.1.4 Entropy in Equilibrium Systems; 1.1.5 Fundamental Time Arrows, Units; 1.1.6 Example: Ideal Quantum Gases; 1.2 Thermodynamics of Irreversible Processes; 1.2.1 Quasiequilibrium; 1.2.2 Statistical Thermodynamics with Relevant Observables; 1.2.3 Phenomenological Description of Irreversible Processes; 1.2.4 Example: Reaction Rates
1.2.5 Principle of Weakening of Initial Correlations and the Method of Nonequilibrium Statistical OperatorExercises; 2 Stochastic Processes; 2.1 Stochastic Processes with Discrete Event Times; 2.1.1 Potentiality and Options, Chance and Probabilities; 2.1.2 Stochastic Processes; 2.1.3 Reduced Probabilities; 2.1.4 Properties of Probability Distributions: Examples; 2.1.5 Example: One-Step Process on a Discrete Space-Time Lattice and Random Walk; 2.2 Birth-and-Death Processes and Master Equation; 2.2.1 Continuous Time Limit and Master Equation; 2.2.2 Example: Radioactive Decay
2.2.3 Spectral Density and Autocorrelation Functions2.2.4 Example: Continuum Limit of Random Walk and Wiener Process; 2.2.5 Further Examples for Stochastic One-Step Processes; 2.2.6 Advanced Example: Telegraph Equation and Poisson Process; 2.3 Brownian Motion and Langevin Equation; 2.3.1 Langevin Equation; 2.3.2 Solution of the Langevin Equation by Fourier Transformation; 2.3.3 Example Calculations for a Langevin Process on Discrete Time; 2.3.4 Fokker-Planck Equation; 2.3.5 Application to Brownian Motion; 2.3.6 Important Continuous Markov Processes
2.3.7 Stochastic Differential Equations and White Noise2.3.8 Applications of Continuous Stochastic Processes; Exercises; 3 Quantum Master Equation; 3.1 Derivation of the Quantum Master Equation; 3.1.1 Open Systems Interacting with a Bath; 3.1.2 Derivation of the Quantum Master Equation; 3.1.3 Born-Markov and Rotating Wave Approximations; 3.1.4 Example: Harmonic Oscillator in a Bath; 3.1.5 Example: Atom Coupled to the Electromagnetic Field; 3.2 Properties of the Quantum Master Equation and Examples; 3.2.1 Pauli Equation; 3.2.2 Properties of the Pauli Equation, Examples
3.2.3 Discussion of the Pauli Equation3.2.4 Example: Linear Coupling to the Bath; 3.2.5 Quantum Fokker-Planck Equation; 3.2.6 Quantum Brownian Motion and the Classical Limit; Exercises; 4 Kinetic Theory; 4.1 The Boltzmann Equation; 4.1.1 Distribution Function; 4.1.2 Classical Reduced Distribution Functions; 4.1.3 Quantum Statistical Reduced Distribution Functions; 4.1.4 The Stoßzahlansatz; 4.1.5 Derivation of the Boltzmann Equation from the Nonequilibrium Statistical Operator; 4.1.6 Properties of the Boltzmann Equation; 4.1.7 Example: Hard Spheres; 4.1.8 Beyond the Boltzmann Kinetic Equation
4.2 Solutions of the Boltzmann Equation
Record Nr. UNINA-9910812835203321
Röpke Gerd  
Hoboken, : Wiley, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nonextensive entropy : interdisciplinary applications / / editors, Murray Gell-Mann, Constantino Tsallis
Nonextensive entropy : interdisciplinary applications / / editors, Murray Gell-Mann, Constantino Tsallis
Pubbl/distr/stampa New York, New York : , : Oxford University Press, , 2004
Descrizione fisica 1 online resource (439 p.)
Disciplina 530.13
Collana Santa Fe Institute Studies on the Sciences of Complexity
Soggetto topico Statistical mechanics
Soggetto genere / forma Electronic books.
ISBN 0-19-756202-7
0-19-803621-3
1-280-70406-3
0-19-534785-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; Nonextensive Statistical Mechanics: Construction and Physical Interpretation; Generalized Nonadditive Information Theory and Quantum Entanglement; Unifying Laws in Multidisciplinary Power-Law Phenomena: FixedPoint Universality and Nonextensive Entropy; Nonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems; Numerical Analysis of Conservative Maps: A Possible Foundation of Nonextensive Phenomena; Nonextensive Effects in Hamiltonian Systems; A Hamiltonian Approach for Tsallis Thermostatistics; Nonequilibrium Systems
Temperature Fluctuations and Mixtures of Equilibrium States in the Canonical EnsembleOn the Role of Non-Gaussian Noises on Noise-Induced Phenomena; A Dripping Faucet as a Nonextensive System; Power-Law Persistence in the Atmosphere: An Ideal Test Bed for Climate Models; The Living State of Matter: Between Noise and Homeorrhetic Constraints; Plant Spread Dynamics and Spatial Patterns in Forest Ecology; Generalized Information Measures and the Analysis of Brain Electrical Signals; Nonextensive Diffusion Entropy Analysis and Teen Birth Phenomena; The Pricing of Stock Options
Distributions of High-Frequency Stock-Market ObservablesEntropic Subextensivity in Language and Learning; A Generalization of the Zipf-Mandelbrot Law in Linguistics; Coarse-Graining, Scaling, and Hierarchies; The Architecture of Complex Systems; Effective Complexity; Index
Record Nr. UNINA-9910451425403321
New York, New York : , : Oxford University Press, , 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui

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