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Advances in chemical physics . Volume 133B Fractals, diffusion and relaxation in disordered complex systems [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov
| Advances in chemical physics . Volume 133B Fractals, diffusion and relaxation in disordered complex systems [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov |
| Pubbl/distr/stampa | New York, : Interscience Publishers, 2006 |
| Descrizione fisica | 1 online resource (752 p.) |
| Disciplina |
541
541.3 541.305 541/.08 |
| Altri autori (Persone) |
CoffeyWilliam T
KalmykovYu. P |
| Collana | Advances in chemical physics |
| Soggetto topico |
Chemistry, Physical and theoretical
Chemistry |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-51727-1
9786610517275 0-470-03714-8 0-470-03713-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
FRACTALS, DIFFUSION, AND RELAXATION IN DISORDERED COMPLEX SYSTEMS A SPECIAL VOLUME OF ADVANCES IN CHEMICAL PHYSICS VOLUME 133 PART B; CONTRIBUTORS TO VOLUME 133; INTRODUCTION; PREFACE; CONTENTS PART B; CONTENTS PART A; CHAPTER 6 FRACTAL PHYSIOLOGY, COMPLEXITY, AND THE FRACTIONAL CALCULUS; CHAPTER 7 PHYSICAL PROPERTIES OF FRACTAL STRUCTURES; CHAPTER 8 FRACTIONAL ROTATIONAL DIFFUSION AND ANOMALOUS DIELECTRIC RELAXATION IN DIPOLE SYSTEMS; CHAPTER 9 FUNDAMENTALS OF LÉVY FLIGHT PROCESSES; CHAPTER 10 DISPERSION OF THE STRUCTURAL RELAXATION AND THE VITRIFICATION OF LIQUIDS
CHAPTER 11 MOLECULAR DYNAMICS IN THIN POLYMER FILMSAUTHOR INDEX; SUBJECT INDEX |
| Record Nr. | UNINA-9910143395103321 |
| New York, : Interscience Publishers, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in chemical physics . Volume 133B Fractals, diffusion and relaxation in disordered complex systems [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov
| Advances in chemical physics . Volume 133B Fractals, diffusion and relaxation in disordered complex systems [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov |
| Pubbl/distr/stampa | New York, : Interscience Publishers, 2006 |
| Descrizione fisica | 1 online resource (752 p.) |
| Disciplina |
541
541.3 541.305 541/.08 |
| Altri autori (Persone) |
CoffeyWilliam T
KalmykovYu. P |
| Collana | Advances in chemical physics |
| Soggetto topico |
Chemistry, Physical and theoretical
Chemistry |
| ISBN |
1-280-51727-1
9786610517275 0-470-03714-8 0-470-03713-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
FRACTALS, DIFFUSION, AND RELAXATION IN DISORDERED COMPLEX SYSTEMS A SPECIAL VOLUME OF ADVANCES IN CHEMICAL PHYSICS VOLUME 133 PART B; CONTRIBUTORS TO VOLUME 133; INTRODUCTION; PREFACE; CONTENTS PART B; CONTENTS PART A; CHAPTER 6 FRACTAL PHYSIOLOGY, COMPLEXITY, AND THE FRACTIONAL CALCULUS; CHAPTER 7 PHYSICAL PROPERTIES OF FRACTAL STRUCTURES; CHAPTER 8 FRACTIONAL ROTATIONAL DIFFUSION AND ANOMALOUS DIELECTRIC RELAXATION IN DIPOLE SYSTEMS; CHAPTER 9 FUNDAMENTALS OF LÉVY FLIGHT PROCESSES; CHAPTER 10 DISPERSION OF THE STRUCTURAL RELAXATION AND THE VITRIFICATION OF LIQUIDS
CHAPTER 11 MOLECULAR DYNAMICS IN THIN POLYMER FILMSAUTHOR INDEX; SUBJECT INDEX |
| Record Nr. | UNISA-996203225903316 |
| New York, : Interscience Publishers, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Advances in chemical physics . Volume 133B Fractals, diffusion and relaxation in disordered complex systems [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov
| Advances in chemical physics . Volume 133B Fractals, diffusion and relaxation in disordered complex systems [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov |
| Pubbl/distr/stampa | New York, : Interscience Publishers, 2006 |
| Descrizione fisica | 1 online resource (752 p.) |
| Disciplina |
541
541.3 541.305 541/.08 |
| Altri autori (Persone) |
CoffeyWilliam T
KalmykovYu. P |
| Collana | Advances in chemical physics |
| Soggetto topico |
Chemistry, Physical and theoretical
Chemistry |
| ISBN |
1-280-51727-1
9786610517275 0-470-03714-8 0-470-03713-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
FRACTALS, DIFFUSION, AND RELAXATION IN DISORDERED COMPLEX SYSTEMS A SPECIAL VOLUME OF ADVANCES IN CHEMICAL PHYSICS VOLUME 133 PART B; CONTRIBUTORS TO VOLUME 133; INTRODUCTION; PREFACE; CONTENTS PART B; CONTENTS PART A; CHAPTER 6 FRACTAL PHYSIOLOGY, COMPLEXITY, AND THE FRACTIONAL CALCULUS; CHAPTER 7 PHYSICAL PROPERTIES OF FRACTAL STRUCTURES; CHAPTER 8 FRACTIONAL ROTATIONAL DIFFUSION AND ANOMALOUS DIELECTRIC RELAXATION IN DIPOLE SYSTEMS; CHAPTER 9 FUNDAMENTALS OF LÉVY FLIGHT PROCESSES; CHAPTER 10 DISPERSION OF THE STRUCTURAL RELAXATION AND THE VITRIFICATION OF LIQUIDS
CHAPTER 11 MOLECULAR DYNAMICS IN THIN POLYMER FILMSAUTHOR INDEX; SUBJECT INDEX |
| Record Nr. | UNINA-9910829969803321 |
| New York, : Interscience Publishers, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in chemical physics . Volume 133B Fractals, diffusion and relaxation in disordered complex systems [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov
| Advances in chemical physics . Volume 133B Fractals, diffusion and relaxation in disordered complex systems [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov |
| Pubbl/distr/stampa | New York, : Interscience Publishers, 2006 |
| Descrizione fisica | 1 online resource (752 p.) |
| Disciplina |
541
541.3 541.305 541/.08 |
| Altri autori (Persone) |
CoffeyWilliam T
KalmykovYu. P |
| Collana | Advances in chemical physics |
| Soggetto topico |
Chemistry, Physical and theoretical
Chemistry |
| ISBN |
1-280-51727-1
9786610517275 0-470-03714-8 0-470-03713-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
FRACTALS, DIFFUSION, AND RELAXATION IN DISORDERED COMPLEX SYSTEMS A SPECIAL VOLUME OF ADVANCES IN CHEMICAL PHYSICS VOLUME 133 PART B; CONTRIBUTORS TO VOLUME 133; INTRODUCTION; PREFACE; CONTENTS PART B; CONTENTS PART A; CHAPTER 6 FRACTAL PHYSIOLOGY, COMPLEXITY, AND THE FRACTIONAL CALCULUS; CHAPTER 7 PHYSICAL PROPERTIES OF FRACTAL STRUCTURES; CHAPTER 8 FRACTIONAL ROTATIONAL DIFFUSION AND ANOMALOUS DIELECTRIC RELAXATION IN DIPOLE SYSTEMS; CHAPTER 9 FUNDAMENTALS OF LÉVY FLIGHT PROCESSES; CHAPTER 10 DISPERSION OF THE STRUCTURAL RELAXATION AND THE VITRIFICATION OF LIQUIDS
CHAPTER 11 MOLECULAR DYNAMICS IN THIN POLYMER FILMSAUTHOR INDEX; SUBJECT INDEX |
| Record Nr. | UNINA-9910841562103321 |
| New York, : Interscience Publishers, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractals, diffusion and relaxation in disordered complex systems . Part A [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov
| Fractals, diffusion and relaxation in disordered complex systems . Part A [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2006 |
| Descrizione fisica | 1 online resource (594 p.) |
| Disciplina |
541
541.3 541.305 541/.08 |
| Altri autori (Persone) |
CoffeyWilliam <1948->
KalmykovYu. P |
| Collana | Advances in chemical physics |
| Soggetto topico |
Chemistry, Physical and theoretical
Fractals Diffusion Relaxation phenomena Stochastic processes |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-51750-6
9786610517503 0-470-32494-5 0-471-79026-5 0-471-79025-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
FRACTALS, DIFFUSION, AND RELAXATION IN DISORDERED COMPLEX SYSTEMS A SPECIAL VOLUME OF ADVANCES IN CHEMICAL PHYSICS VOLUME 133 PART A; CONTRIBUTORS TO VOLUME 133; INTRODUCTION; PREFACE; CONTENTS PART A; CONTENTS PART B; CHAPTER 1 DIELECTIC RELAXATION PHENOMENA IN COMPLEX MATERIALS; CHAPTER 2 EVOLUTION OF THE DYNAMIC SUSCEPTIBILITY IN SUPERCOOLED LIQUIDS AND GLASSES; CHAPTER 3 SLOW RELAXATION, ANOMALOUS DIFFUSION, AND AGING IN EQUILIBRATED OR NONEQUILIBRATED ENVIRONMENTS; CHAPTER 4 POWER-LAW BLINKING QUANTUM DOTS: STOCHASTIC AND PHYSICAL MODELS
CHAPTER 5 THE CONTINUOUS-TIME RANDOM WALK VERSUS THE GENERALIZED MASTER EQUATIONAUTHOR INDEX; SUBJECT INDEX |
| Record Nr. | UNINA-9910143395003321 |
| Hoboken, N.J., : Wiley, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractals, diffusion and relaxation in disordered complex systems . Part A [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov
| Fractals, diffusion and relaxation in disordered complex systems . Part A [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2006 |
| Descrizione fisica | 1 online resource (594 p.) |
| Disciplina |
541
541.3 541.305 541/.08 |
| Altri autori (Persone) |
CoffeyWilliam <1948->
KalmykovYu. P |
| Collana | Advances in chemical physics |
| Soggetto topico |
Chemistry, Physical and theoretical
Fractals Diffusion Relaxation phenomena Stochastic processes |
| ISBN |
1-280-51750-6
9786610517503 0-470-32494-5 0-471-79026-5 0-471-79025-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
FRACTALS, DIFFUSION, AND RELAXATION IN DISORDERED COMPLEX SYSTEMS A SPECIAL VOLUME OF ADVANCES IN CHEMICAL PHYSICS VOLUME 133 PART A; CONTRIBUTORS TO VOLUME 133; INTRODUCTION; PREFACE; CONTENTS PART A; CONTENTS PART B; CHAPTER 1 DIELECTIC RELAXATION PHENOMENA IN COMPLEX MATERIALS; CHAPTER 2 EVOLUTION OF THE DYNAMIC SUSCEPTIBILITY IN SUPERCOOLED LIQUIDS AND GLASSES; CHAPTER 3 SLOW RELAXATION, ANOMALOUS DIFFUSION, AND AGING IN EQUILIBRATED OR NONEQUILIBRATED ENVIRONMENTS; CHAPTER 4 POWER-LAW BLINKING QUANTUM DOTS: STOCHASTIC AND PHYSICAL MODELS
CHAPTER 5 THE CONTINUOUS-TIME RANDOM WALK VERSUS THE GENERALIZED MASTER EQUATIONAUTHOR INDEX; SUBJECT INDEX |
| Record Nr. | UNINA-9910830243003321 |
| Hoboken, N.J., : Wiley, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractals, diffusion and relaxation in disordered complex systems . Part A [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov
| Fractals, diffusion and relaxation in disordered complex systems . Part A [[electronic resource] /] / edited by William T. Coffey and Yuri P. Kalmykov |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2006 |
| Descrizione fisica | 1 online resource (594 p.) |
| Disciplina |
541
541.3 541.305 541/.08 |
| Altri autori (Persone) |
CoffeyWilliam <1948->
KalmykovYu. P |
| Collana | Advances in chemical physics |
| Soggetto topico |
Chemistry, Physical and theoretical
Fractals Diffusion Relaxation phenomena Stochastic processes |
| ISBN |
1-280-51750-6
9786610517503 0-470-32494-5 0-471-79026-5 0-471-79025-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
FRACTALS, DIFFUSION, AND RELAXATION IN DISORDERED COMPLEX SYSTEMS A SPECIAL VOLUME OF ADVANCES IN CHEMICAL PHYSICS VOLUME 133 PART A; CONTRIBUTORS TO VOLUME 133; INTRODUCTION; PREFACE; CONTENTS PART A; CONTENTS PART B; CHAPTER 1 DIELECTIC RELAXATION PHENOMENA IN COMPLEX MATERIALS; CHAPTER 2 EVOLUTION OF THE DYNAMIC SUSCEPTIBILITY IN SUPERCOOLED LIQUIDS AND GLASSES; CHAPTER 3 SLOW RELAXATION, ANOMALOUS DIFFUSION, AND AGING IN EQUILIBRATED OR NONEQUILIBRATED ENVIRONMENTS; CHAPTER 4 POWER-LAW BLINKING QUANTUM DOTS: STOCHASTIC AND PHYSICAL MODELS
CHAPTER 5 THE CONTINUOUS-TIME RANDOM WALK VERSUS THE GENERALIZED MASTER EQUATIONAUTHOR INDEX; SUBJECT INDEX |
| Record Nr. | UNINA-9910840642803321 |
| Hoboken, N.J., : Wiley, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Langevin equation [[electronic resource] ] : with applications to stochastic problems in physics, chemistry, and electrical engineering / / W.T. Coffey, Yu. P. Kalmykov
| The Langevin equation [[electronic resource] ] : with applications to stochastic problems in physics, chemistry, and electrical engineering / / W.T. Coffey, Yu. P. Kalmykov |
| Autore | Coffey William <1948-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (852 p.) |
| Disciplina | 519.2 |
| Altri autori (Persone) | KalmykovYu. P |
| Collana | World Scientific series in contemporary chemical physics |
| Soggetto topico |
Langevin equations
Brownian motion processes |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4355-67-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface to the Tllird Edition; CONTENTS; Contents; Chapter 1 Historical Background and Introductory Concepts; 1.1. Brownian motion; 1.2. Einstein's explanation of Brownian movement; 1.3. The Langevin equation; 1.3.1. Calculation of Avogadro's number; 1.4. Einstein's Method; 1.5. Essential concepts in Statistical Mechanics; 1.5.1. Ensemble of systems; 1.5.2. Phase space; 1.5.3. Representative point; 1.5.4. Ergodic hypothesis; 1.5.5. Calculation of averages; 1.5.6. Liouville equation; 1.5.7. Reduction of the Liouville equation; 1.5.8. Langevin equation for a system with one degree of freedom
1.5.9. Intuitive derivation of the Klein-Kramers equation1.5.10. Conditions under which a Maxwellian distribution in the velocities may be deemed to be attained; 1.5.11. Very-high-damping (VHD) regime; 1.5.12. Very-low-damping (VLD) regime; 1.6. Probability theory; 1.6.1. Random variables and probability distributions; 1.6.2. The Gaussian distribution; 1.6.3. Moment-generating fimctious; 1.6.4. Central limit theorem; 1.6.5. Random processes; 1.6.6. Wiener-Khinchin theorem; 1.7. Application to the Langevin equation; 1.8. Wiener process; 1.8.1. Variance of the Wiener process 1.8.2. Wiener integrals1.9. The Fokker-Planok equation; 1.10. Drift and diffusion coefficients; 1.11. Solution of the one-dimensional Fokker-Planck equation; 1.12. The Smoluchowski equation; 1.13. Escape of particles over potential barriers: Kramers' theory; 1.13.1. Escape rate in the IHD limit; 1.13.2. Kramers' calculation of the escape rate in the VLD limit; 1.13.3. Range of validity of the IHD and VLD formulas; 1.13.4. Extension of Kramers' theory to many dimensions in the IHD limit; 1.13.5. Langer's treatment of the IHD limit; 1.13.6. Kramers' formula as a special case of Langer's formula 1.13.7. Kramers' turn over problem1.14. Applications of the theory of Brownian movement in a potential; 1.15. Rotational Brownian motion: application to dielectric relaxation; 1.15.1. Breakdown of the Debye theory at high frequencies; 1.16. Superparamagnetism: magnetic after-effect; 1.17. Brown's treatment of Neel relaxation; 1.18. Asymptotic expressions for the Neel relaxation time; 1.18.1. Magnetization reversal time in a uniaxial superparamagnet: application of Kramers' method; 1.18.2. Escape rate formulas for superparamagnets; 1.19. Ferrofluids 1.20. Depletion effect in a biased bistable potential1.21. Stochastic resonance; 1.22. Anomalous diffusion; 1.22.1. Empirical formulas for the complex dielectric permittivity; 1.22.2. Theoretical justification for anomalous relaxation behavior; 1.22.3. Anomalous dielectric relaxation of an assembly of dipolar molecules; References; Chapter 2 Langevin Equations and Methods of Solution; 2.1. Criticisms of the Langevin equation; 2.2. Doob's interpretation of the Langevin equation; 2.3. Nonlinear Langevin equation with a multiplicative noise term: Ito and Stratonovich rules 2.4. Derivation of differential-recurrence relations from the one-dimensional Langevin equation |
| Record Nr. | UNINA-9910463981803321 |
Coffey William <1948->
|
||
| River Edge, NJ, : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Langevin equation [[electronic resource] ] : with applications to stochastic problems in physics, chemistry, and electrical engineering / / W.T. Coffey, Yu. P. Kalmykov
| The Langevin equation [[electronic resource] ] : with applications to stochastic problems in physics, chemistry, and electrical engineering / / W.T. Coffey, Yu. P. Kalmykov |
| Autore | Coffey William <1948-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (852 p.) |
| Disciplina | 519.2 |
| Altri autori (Persone) | KalmykovYu. P |
| Collana | World Scientific series in contemporary chemical physics |
| Soggetto topico |
Langevin equations
Brownian motion processes |
| ISBN | 981-4355-67-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface to the Tllird Edition; CONTENTS; Contents; Chapter 1 Historical Background and Introductory Concepts; 1.1. Brownian motion; 1.2. Einstein's explanation of Brownian movement; 1.3. The Langevin equation; 1.3.1. Calculation of Avogadro's number; 1.4. Einstein's Method; 1.5. Essential concepts in Statistical Mechanics; 1.5.1. Ensemble of systems; 1.5.2. Phase space; 1.5.3. Representative point; 1.5.4. Ergodic hypothesis; 1.5.5. Calculation of averages; 1.5.6. Liouville equation; 1.5.7. Reduction of the Liouville equation; 1.5.8. Langevin equation for a system with one degree of freedom
1.5.9. Intuitive derivation of the Klein-Kramers equation1.5.10. Conditions under which a Maxwellian distribution in the velocities may be deemed to be attained; 1.5.11. Very-high-damping (VHD) regime; 1.5.12. Very-low-damping (VLD) regime; 1.6. Probability theory; 1.6.1. Random variables and probability distributions; 1.6.2. The Gaussian distribution; 1.6.3. Moment-generating fimctious; 1.6.4. Central limit theorem; 1.6.5. Random processes; 1.6.6. Wiener-Khinchin theorem; 1.7. Application to the Langevin equation; 1.8. Wiener process; 1.8.1. Variance of the Wiener process 1.8.2. Wiener integrals1.9. The Fokker-Planok equation; 1.10. Drift and diffusion coefficients; 1.11. Solution of the one-dimensional Fokker-Planck equation; 1.12. The Smoluchowski equation; 1.13. Escape of particles over potential barriers: Kramers' theory; 1.13.1. Escape rate in the IHD limit; 1.13.2. Kramers' calculation of the escape rate in the VLD limit; 1.13.3. Range of validity of the IHD and VLD formulas; 1.13.4. Extension of Kramers' theory to many dimensions in the IHD limit; 1.13.5. Langer's treatment of the IHD limit; 1.13.6. Kramers' formula as a special case of Langer's formula 1.13.7. Kramers' turn over problem1.14. Applications of the theory of Brownian movement in a potential; 1.15. Rotational Brownian motion: application to dielectric relaxation; 1.15.1. Breakdown of the Debye theory at high frequencies; 1.16. Superparamagnetism: magnetic after-effect; 1.17. Brown's treatment of Neel relaxation; 1.18. Asymptotic expressions for the Neel relaxation time; 1.18.1. Magnetization reversal time in a uniaxial superparamagnet: application of Kramers' method; 1.18.2. Escape rate formulas for superparamagnets; 1.19. Ferrofluids 1.20. Depletion effect in a biased bistable potential1.21. Stochastic resonance; 1.22. Anomalous diffusion; 1.22.1. Empirical formulas for the complex dielectric permittivity; 1.22.2. Theoretical justification for anomalous relaxation behavior; 1.22.3. Anomalous dielectric relaxation of an assembly of dipolar molecules; References; Chapter 2 Langevin Equations and Methods of Solution; 2.1. Criticisms of the Langevin equation; 2.2. Doob's interpretation of the Langevin equation; 2.3. Nonlinear Langevin equation with a multiplicative noise term: Ito and Stratonovich rules 2.4. Derivation of differential-recurrence relations from the one-dimensional Langevin equation |
| Record Nr. | UNINA-9910788450903321 |
|
Coffey William <1948->
|
||
| River Edge, NJ, : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Langevin equation [[electronic resource] ] : with applications to stochastic problems in physics, chemistry, and electrical engineering / / W.T. Coffey, Yu. P. Kalmykov
| The Langevin equation [[electronic resource] ] : with applications to stochastic problems in physics, chemistry, and electrical engineering / / W.T. Coffey, Yu. P. Kalmykov |
| Autore | Coffey William <1948-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (852 p.) |
| Disciplina | 519.2 |
| Altri autori (Persone) | KalmykovYu. P |
| Collana | World Scientific series in contemporary chemical physics |
| Soggetto topico |
Langevin equations
Brownian motion processes |
| ISBN | 981-4355-67-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface to the Tllird Edition; CONTENTS; Contents; Chapter 1 Historical Background and Introductory Concepts; 1.1. Brownian motion; 1.2. Einstein's explanation of Brownian movement; 1.3. The Langevin equation; 1.3.1. Calculation of Avogadro's number; 1.4. Einstein's Method; 1.5. Essential concepts in Statistical Mechanics; 1.5.1. Ensemble of systems; 1.5.2. Phase space; 1.5.3. Representative point; 1.5.4. Ergodic hypothesis; 1.5.5. Calculation of averages; 1.5.6. Liouville equation; 1.5.7. Reduction of the Liouville equation; 1.5.8. Langevin equation for a system with one degree of freedom
1.5.9. Intuitive derivation of the Klein-Kramers equation1.5.10. Conditions under which a Maxwellian distribution in the velocities may be deemed to be attained; 1.5.11. Very-high-damping (VHD) regime; 1.5.12. Very-low-damping (VLD) regime; 1.6. Probability theory; 1.6.1. Random variables and probability distributions; 1.6.2. The Gaussian distribution; 1.6.3. Moment-generating fimctious; 1.6.4. Central limit theorem; 1.6.5. Random processes; 1.6.6. Wiener-Khinchin theorem; 1.7. Application to the Langevin equation; 1.8. Wiener process; 1.8.1. Variance of the Wiener process 1.8.2. Wiener integrals1.9. The Fokker-Planok equation; 1.10. Drift and diffusion coefficients; 1.11. Solution of the one-dimensional Fokker-Planck equation; 1.12. The Smoluchowski equation; 1.13. Escape of particles over potential barriers: Kramers' theory; 1.13.1. Escape rate in the IHD limit; 1.13.2. Kramers' calculation of the escape rate in the VLD limit; 1.13.3. Range of validity of the IHD and VLD formulas; 1.13.4. Extension of Kramers' theory to many dimensions in the IHD limit; 1.13.5. Langer's treatment of the IHD limit; 1.13.6. Kramers' formula as a special case of Langer's formula 1.13.7. Kramers' turn over problem1.14. Applications of the theory of Brownian movement in a potential; 1.15. Rotational Brownian motion: application to dielectric relaxation; 1.15.1. Breakdown of the Debye theory at high frequencies; 1.16. Superparamagnetism: magnetic after-effect; 1.17. Brown's treatment of Neel relaxation; 1.18. Asymptotic expressions for the Neel relaxation time; 1.18.1. Magnetization reversal time in a uniaxial superparamagnet: application of Kramers' method; 1.18.2. Escape rate formulas for superparamagnets; 1.19. Ferrofluids 1.20. Depletion effect in a biased bistable potential1.21. Stochastic resonance; 1.22. Anomalous diffusion; 1.22.1. Empirical formulas for the complex dielectric permittivity; 1.22.2. Theoretical justification for anomalous relaxation behavior; 1.22.3. Anomalous dielectric relaxation of an assembly of dipolar molecules; References; Chapter 2 Langevin Equations and Methods of Solution; 2.1. Criticisms of the Langevin equation; 2.2. Doob's interpretation of the Langevin equation; 2.3. Nonlinear Langevin equation with a multiplicative noise term: Ito and Stratonovich rules 2.4. Derivation of differential-recurrence relations from the one-dimensional Langevin equation |
| Record Nr. | UNINA-9910826070503321 |
|
Coffey William <1948->
|
||
| River Edge, NJ, : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
