02859cam a22004095i 4500
18345704
OSt
20150123110422.0
141023t20132013sz a f b 001 0 eng d
2014430327
9783037191293 (pbk. : acidfree paper)
3037191295 (pbk. : acidfree paper)
(OCoLC)ocn876427669
CSt
eng
STF
rda
OCLCO
IPL
CUS
YDXCP
OCLCA
OCLCF
OHX
DLC
lccopycat
QA
lcco
QC
lcco
515.33 GAL
23
Gallagher, Isabelle,
author.
From Newton to Boltzmann :
hard spheres and short-range potentials /
Isabelle Gallagher, Laure Saint-Raymond, Benjamin Texier.
xi, 135 pages :
illustrations ;
24 cm.
Zurich lectures in advanced mathematics
Includes bibliographical references (pages [130]-132) and indexes.
"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"--Publisher's description.
Transport theory.
2027
Differential equations, Partial.
1604
Differential equations, Partial.
fast
1604
Transport theory.
fast
2027
Atomic physics
Matter constitution, properties
Statistical physical phenomena
Transport theory
Early 21st century
Saint-Raymond, Laure,
author.
Texier, Benjamin,
author.
European Mathematical Society.
523
Zurich lectures in advanced mathematics.
0
ibc
copycat
2
ncip
20
y-gencatlg
ddc
BK
21477
21477
0
0
ddc
0
0
BK
STP
STP
LIB
2015-01-09
515.33 GAL
11826
2015-06-29
2015-06-29
BK