Thermodynamics of multimass self gravitating systems: One-dimensional gravitational gas with a single impurity

Authors

Jose Perico H. Esguerra World Laboratory Research Center for Fluid Dynamics, University of the Philippines Los Baños
Lawrence Gene Posada Physics−Computer Engineering Program, Ateneo de Manila University

Abstract

The one dimensional gravitational gas (1DGG) has served in the past as a model for halo stars, as a caricature of the universe, as a quantum system, and as a model system in classical equilibrium and non-equilibrium statistical mechanics. Most studies of the 1DGG have dealt with systems made up entirely of identical masses or single-mass specie 1DGG.
It is not unreasonable to expect differences in the way single-mass 1DGGs and multimass 1DGGs behave. Multimass IDGGs have not been extensively studied. The simplest examples of multicomponent 1DGGs are: 1.) a IDGG with a single impurity (i.e., N identical particles plus a single particle with a different mass); and 2.) a multimass 1DGG made up of N masses which are all different. Numerical studies of the nonequilibrium behavior of binary mass 1DGGs exist.
No studies have been reported on the equilibrium statistical mechanics of multimass 1DGGs. In this paper we will discuss the thermodynamics of a 1DGG with a single impurity. In another paper we will study a multimass 1DGG made up of N masses which are all different.

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Issue

1998: Proceedings of the 16th National Physics Congress of the Samahang Pisika ng Pilipinas

Article ID

SPP-1998-TP-08

Section

Theoretical Physics

Published

1998-10-27

How to Cite

[1]

JPH Esguerra and LG Posada, Thermodynamics of multimass self gravitating systems: One-dimensional gravitational gas with a single impurity, Proceedings of the Samahang Pisika ng Pilipinas 16, SPP-1998-TP-08 (1998). URL: https://proceedings.spp-online.org/article/view/SPP-1998-TP-08.