Langevin and Fokker-Planck equations and their generalizations (Record no. 559144)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01849 a2200181 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789813228405 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IIT Kanpur |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.13 |
| Item number | K979l |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kwok, Sau Fa |
| 245 ## - TITLE STATEMENT | |
| Title | Langevin and Fokker-Planck equations and their generalizations |
| Remainder of title | descriptions and solutions |
| Statement of responsibility, etc | Sau Fa Kwok |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | World Scientific |
| Year of publication | 2018 |
| Place of publication | Singapore |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xii, 195p |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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.<br/><br/>Due to the growing interest in the research on the generalized Langevin equations, several of them are presented. They are described with some details.<br/><br/>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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Statistical mechanics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Statistical physics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| General Stacks | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 12/07/2018 | 2 | 5399.41 | 530.13 K979l | A183591 | 6749.26 | Books |