Multiscaling in inelastic collisions

被引：116

作者：

Ben-Naim, E ^{[1
]}

Krapivsky, PL

机构：

[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[3] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA

[4] Boston Univ, Dept Phys, Boston, MA 02215 USA

来源：

PHYSICAL REVIEW E | 2000年 / 61卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevE.61.R5

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study relaxation properties of two-body collisions on the mean-field level. We show that this process exhibits multiscaling asymptotic behavior as the underlying distribution is characterized by an infinite set of nontrivial exponents. These nonequilibrium relaxation characteristics are found to be closely related to the steady state properties of the system.

引用

页码：R5 / R8

页数：4

共 16 条

[1] HAMMERSLEYS INTERACTING PARTICLE PROCESS AND LONGEST INCREASING SUBSEQUENCES
ALDOUS, D
DIACONIS, P
[J]. PROBABILITY THEORY AND RELATED FIELDS, 1995, 103 (02) : 199 - 213
[2] Shocklike dynamics of inelastic gases
Ben-Naim, E
Chen, SY
Doolen, GD
Redner, S
[J]. PHYSICAL REVIEW LETTERS, 1999, 83 (20) : 4069 - 4072
[3] Maxwell model of traffic flows
Ben-Naim, E
Krapivsky, PL
[J]. PHYSICAL REVIEW E, 1999, 59 (01): : 88 - 97
[4] Kinematic scaling and crossover to scale invariance in martensite growth - Comment
BenNaim, E
Krapivsky, PL
[J]. PHYSICAL REVIEW LETTERS, 1996, 76 (17) : 3234 - 3234
[5] BENNAIM E, UNPUB
[6] ONE-DIMENSIONAL BOUNCE OF INELASTICALLY COLLIDING MARBLES ON A WALL
BERNU, B
MAZIGHI, R
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (24): : 5745 - 5754
[7] NON-LINEAR MODEL BOLTZMANN EQUATIONS AND EXACT-SOLUTIONS
ERNST, MH
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1981, 78 (01): : 1 - 171
[8] FERRARI PA, 1998, EL J PROB, V3
[9] GRAIN FLOW AS A FLUID-MECHANICAL PHENOMENON
HAFF, PK
[J]. JOURNAL OF FLUID MECHANICS, 1983, 134 (SEP) : 401 - 430
[10] Wealth distributions in asset exchange models
Ispolatov, S
Krapivsky, PL
Redner, S
[J]. EUROPEAN PHYSICAL JOURNAL B, 1998, 2 (02) : 267 - 276

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