** Next:** 1 Introduction

#
Thermal Relaxation in One-Dimensional Self-Gravitating Systems

**
Junichiro MAKINO
**

Department of Systems Science,
College of Arts and Sciences,

University of Tokyo, Tokyo 153-8902

### Abstract:

*In this paper, we study the thermal relaxation in the
one-dimensional self-gravitating system, or the so-called sheet model.
According to the standard argument, the thermal relaxation time of the
system is around , where ***N** is the number of sheets and
is the crossing time. It has been claimed that the system does not
reach the thermal equilibrium in this thermal relaxation timescale,
and that it takes much longer time for the system to reach true
thermal equilibrium.
*
We demonstrate that this behavior is explained simply by the
fact that the relaxation time is long. The relaxation time of sheets
with average binding energy is , and that of sheets with
high energy can exceed . Thus,
one needs to take the average over the relaxation timescale of high-energy
sheets, if one wants to look at the thermal characteristic of these
high energy sheets.
*

*Jun Makino *

Tue Mar 16 18:39:24 JST 1999