Examples of exponentially many collisions in a hard ball system-Reference-Cited by-同舟云学术

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Examples of exponentially many collisions in a hard ball system

Published:2020-10-23 Issue:9 Volume:41 Page:2754-2769
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

BURAGO DMITRI,IVANOV SERGEI

Abstract

AbstractConsider the system of n identical hard balls in

${\mathbb {R}}^3$

moving freely and colliding elastically. We show that there exist initial conditions such that the number of collisions is exponential in n.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. Classical hard sphere 3-body problem;Thurston;Bull. Amer. Phys. Soc.,1964

2. Uniform Estimates on the Number of Collisions in Semi-Dispersing Billiards

3. Systems of locally interacting and repelling particles that are moving in space;Galperin;Tr. Mosk. Mat. Obs.,1981

4. Maximum number of collisions among identical hard spheres

5. [8] Serre, D. . Estimating the number and the strength of collisions in molecular dynamics. Preprint, 2019, arxiv:1903.05866 v1.

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1. Compensated Integrability and Conservation Laws;SEMA SIMAI Springer Series;2024

2. A splash in a one-dimensional cold gas;SciPost Physics;2022-09-29

3. Hard Spheres Dynamics: Weak Vs Strong Collisions;Archive for Rational Mechanics and Analysis;2021-02-16

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