Time-displaced correlation functions in an infinite one-dimensional mixture of hard rods with different diameters

Michael Aizenman, Joel Lebowitz, Joaquin Marro

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

Time-displaced conditional distribution functions are calculated for an infinite, one-dimensional mixture of equal-mass hard rods of different diameters. The kinetic equation that describes the time dependence of the one-particle total distribution function is found to be non-Markovian, in contrast with the situation in systems of identical rods. The correlation function does not contain any isolated damped oscillation, except for systems of equal-diameter rods with discrete velocities. Thus, we generalize the one-component results of Lebowitz, Perçus, and Sykes, removing some nontypical features of that system.

Original languageEnglish (US)
Pages (from-to)179-190
Number of pages12
JournalJournal of Statistical Physics
Volume18
Issue number2
DOIs
StatePublished - Feb 1 1978

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Time-displaced correlation functions in an infinite one-dimensional mixture of hard rods with different diameters'. Together they form a unique fingerprint.

  • Cite this