From Newton to Boltzmann: Hard Spheres and Short-range Potentials (Record no. 50466)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02798nam a22004095a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783037196298 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Gallagher, Isabelle, |
| 245 10 - TITLE STATEMENT | |
| Title | From Newton to Boltzmann: Hard Spheres and Short-range Potentials |
| Statement of responsibility, etc | Isabelle Gallagher, Laure Saint-Raymond, Benjamin Texier |
| 260 3# - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Zuerich, Switzerland : |
| Name of publisher | European Mathematical Society Publishing House, |
| Year of publication | 2014 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (148 pages) |
| 490 0# - SERIES STATEMENT | |
| Series statement | Zurich Lectures in Advanced Mathematics (ZLAM) |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The question addressed in this monograph is the relationship between the time-reversible Newton dynamics for a system of particles interacting via elastic collisions, and the irreversible Boltzmann dynamics which gives a statistical description of the collision mechanism. Two types of elastic collisions are considered: hard spheres, and compactly supported potentials.. Following the steps suggested by Lanford in 1974, we describe the transition from Newton to Boltzmann by proving a rigorous convergence result in short time, as the number of particles tends to infinity and their size simultaneously goes to zero, in the Boltzmann-Grad scaling. Boltzmann’s kinetic theory rests on the assumption that particle independence is propagated by the dynamics. This assumption is central to the issue of appearance of irreversibility. For finite numbers of particles, correlations are generated by collisions. The convergence proof establishes that for initially independent configurations, independence is statistically recovered in the limit. This book is intended for mathematicians working in the fields of partial differential equations and mathematical physics, and is accessible to graduate students with a background in analysis. |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential equations |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Partial differential equations |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gallagher, Isabelle, |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Saint-Raymond, Laure, |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Texier, Benjamin, |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.4171/129 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.ems-ph.org/img/books/gallagher_mini.gif |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Zuerich, Switzerland : |
| -- | European Mathematical Society Publishing House, |
| -- | 2014 |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
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| -- | rda |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK13842 | https://doi.org/10.4171/129 | E-BOOKS |