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Langevin And Fokker-planck Equations And Their Generalizations: Descriptions And Solutions

Af: Sau Fa Kwok Engelsk Hardback

Langevin And Fokker-planck Equations And Their Generalizations: Descriptions And Solutions

Af: Sau Fa Kwok Engelsk Hardback
Tjek vores konkurrenters priser

This invaluable book provides a broad introduction to a rapidly growing area of nonequilibrium statistical physics. The first part of the book complements the classical book on the Langevin and Fokker–Planck equations (H. Risken, The Fokker–Planck Equation: Methods of Solution and Applications (Springer, 1996)). Some topics and methods of solutions are presented and discussed in details which are not described in Risken's book, such as the method of similarity solution, the method of characteristics, transformation of diffusion processes into the Wiener process in different prescriptions, harmonic noise and relativistic Brownian motion. Connection between the Langevin equation and Tsallis distribution is also discussed.

Due to the growing interest in the research on the generalized Langevin equations, several of them are presented. They are described with some details.

Recent research on the integro-differential Fokker–Planck equation derived from the continuous time random walk model shows that the topic has several aspects to be explored. This equation is worked analytically for the linear force and the generic waiting time probability distribution function. Moreover, generalized Klein-Kramers equations are also presented and discussed. They have the potential to be applied to natural systems, such as biological systems.

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This invaluable book provides a broad introduction to a rapidly growing area of nonequilibrium statistical physics. The first part of the book complements the classical book on the Langevin and Fokker–Planck equations (H. Risken, The Fokker–Planck Equation: Methods of Solution and Applications (Springer, 1996)). Some topics and methods of solutions are presented and discussed in details which are not described in Risken's book, such as the method of similarity solution, the method of characteristics, transformation of diffusion processes into the Wiener process in different prescriptions, harmonic noise and relativistic Brownian motion. Connection between the Langevin equation and Tsallis distribution is also discussed.

Due to the growing interest in the research on the generalized Langevin equations, several of them are presented. They are described with some details.

Recent research on the integro-differential Fokker–Planck equation derived from the continuous time random walk model shows that the topic has several aspects to be explored. This equation is worked analytically for the linear force and the generic waiting time probability distribution function. Moreover, generalized Klein-Kramers equations are also presented and discussed. They have the potential to be applied to natural systems, such as biological systems.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 208
ISBN-13: 9789813228405
Indbinding: Hardback
Udgave:
ISBN-10: 9813228407
Kategori: Statistisk fysik
Udg. Dato: 24 apr 2018
Længde: 21mm
Bredde: 237mm
Højde: 159mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 24 apr 2018
Forfatter(e): Sau Fa Kwok
Forfatter(e) Sau Fa Kwok

Kategori Statistisk fysik

ISBN-13 9789813228405

Sprog Engelsk

Indbinding Hardback

Sider 208

Udgave

Længde 21mm

Bredde 237mm

Højde 159mm

Udg. Dato 24 apr 2018

Oplagsdato 24 apr 2018

Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge