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The Langevin equation [[electronic resource] ] : with applications to stochastic problems in physics, chemistry, and electrical engineering / / W.T. Coffey, Yu. P. Kalmykov, J.T. Waldron
| The Langevin equation [[electronic resource] ] : with applications to stochastic problems in physics, chemistry, and electrical engineering / / W.T. Coffey, Yu. P. Kalmykov, J.T. Waldron |
| Autore | Coffey William <1948-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (704 p.) |
| Disciplina |
519.2
530.475 |
| Altri autori (Persone) |
KalmykovYu. P
WaldronJ. T |
| Collana | Series in contemporary chemical physics |
| Soggetto topico |
Langevin equations
Brownian motion processes |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93552-2
9786611935528 981-279-509-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface to the Second Edition ; Preface to the First Edition ; Chapter 1 Historical Background and Introductory Concepts ; 1.1 Brownian Motion ; 1.2 Einstein's Explanation of the Brownian Movement ; 1.3 The Langevin Equation ; 1.4 Einstein's Method
1.5 Necessary Concepts of Statistical Mechanics 1.6 Probability Theory ; 1.7 Application to the Langevin Equation ; 1.8 Wiener Process ; 1.9 The Fokker-Planck 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' Escape Rate Theory ; 1.14 Applications of the Theory of Brownian Movement in a Potential ; 1.15 Rotational Brownian Motion - Application to Dielectric Relaxation 1.16 Superparamagnetism - Magnetic After-Effect 1.17 Brown's Treatment of Neel Relaxation ; 1.18 Asymptotic Expressions for the Neel Relaxation Time ; 1.19 Ferrofluids ; 1.20 Depletion Effect in a Biased Bistable Potential ; 1.21 Stochastic Resonance ; 1.22 Anomalous Diffusion 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-9910454310403321 |
Coffey William <1948->
|
||
| Singapore ; ; River Edge, N.J., : World Scientific, c2004 | ||
| 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, J.T. Waldron
| The Langevin equation [[electronic resource] ] : with applications to stochastic problems in physics, chemistry, and electrical engineering / / W.T. Coffey, Yu. P. Kalmykov, J.T. Waldron |
| Autore | Coffey William <1948-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (704 p.) |
| Disciplina |
519.2
530.475 |
| Altri autori (Persone) |
KalmykovYu. P
WaldronJ. T |
| Collana | Series in contemporary chemical physics |
| Soggetto topico |
Langevin equations
Brownian motion processes |
| ISBN |
1-281-93552-2
9786611935528 981-279-509-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface to the Second Edition ; Preface to the First Edition ; Chapter 1 Historical Background and Introductory Concepts ; 1.1 Brownian Motion ; 1.2 Einstein's Explanation of the Brownian Movement ; 1.3 The Langevin Equation ; 1.4 Einstein's Method
1.5 Necessary Concepts of Statistical Mechanics 1.6 Probability Theory ; 1.7 Application to the Langevin Equation ; 1.8 Wiener Process ; 1.9 The Fokker-Planck 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' Escape Rate Theory ; 1.14 Applications of the Theory of Brownian Movement in a Potential ; 1.15 Rotational Brownian Motion - Application to Dielectric Relaxation 1.16 Superparamagnetism - Magnetic After-Effect 1.17 Brown's Treatment of Neel Relaxation ; 1.18 Asymptotic Expressions for the Neel Relaxation Time ; 1.19 Ferrofluids ; 1.20 Depletion Effect in a Biased Bistable Potential ; 1.21 Stochastic Resonance ; 1.22 Anomalous Diffusion 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-9910782118003321 |
|
Coffey William <1948->
|
||
| Singapore ; ; River Edge, N.J., : World Scientific, c2004 | ||
| 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, J.T. Waldron
| The Langevin equation [[electronic resource] ] : with applications to stochastic problems in physics, chemistry, and electrical engineering / / W.T. Coffey, Yu. P. Kalmykov, J.T. Waldron |
| Autore | Coffey William <1948-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (704 p.) |
| Disciplina |
519.2
530.475 |
| Altri autori (Persone) |
KalmykovYu. P
WaldronJ. T |
| Collana | Series in contemporary chemical physics |
| Soggetto topico |
Langevin equations
Brownian motion processes |
| ISBN |
1-281-93552-2
9786611935528 981-279-509-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface to the Second Edition ; Preface to the First Edition ; Chapter 1 Historical Background and Introductory Concepts ; 1.1 Brownian Motion ; 1.2 Einstein's Explanation of the Brownian Movement ; 1.3 The Langevin Equation ; 1.4 Einstein's Method
1.5 Necessary Concepts of Statistical Mechanics 1.6 Probability Theory ; 1.7 Application to the Langevin Equation ; 1.8 Wiener Process ; 1.9 The Fokker-Planck 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' Escape Rate Theory ; 1.14 Applications of the Theory of Brownian Movement in a Potential ; 1.15 Rotational Brownian Motion - Application to Dielectric Relaxation 1.16 Superparamagnetism - Magnetic After-Effect 1.17 Brown's Treatment of Neel Relaxation ; 1.18 Asymptotic Expressions for the Neel Relaxation Time ; 1.19 Ferrofluids ; 1.20 Depletion Effect in a Biased Bistable Potential ; 1.21 Stochastic Resonance ; 1.22 Anomalous Diffusion 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-9910819881703321 |
|
Coffey William <1948->
|
||
| Singapore ; ; River Edge, N.J., : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||