scholarly journals Statistical mechanics of self-gravitating systems in general relativity: I. The quantum Fermi gas

2020 ◽  
Vol 135 (3) ◽  
Author(s):  
Pierre-Henri Chavanis
Keyword(s):  
General Relativity ◽  
Statistical Mechanics ◽  
Fermi Gas ◽  
Gravitating Systems

Many body dynamics

2018 ◽  
Author(s):  
Joseph F. Boudreau ◽  
Eric S. Swanson
Keyword(s):  
Statistical Mechanics ◽  
Body Problem ◽  
Many Body ◽  
Complex Objects ◽  
Constrained Dynamics ◽  
Gravitational Systems ◽  
Body Dynamics ◽  
System Temperature ◽  
Speed Up ◽  
Gravitating Systems

Specialized techniques for solving the classical many-body problem are explored in the context of simple gases, more complicated gases, and gravitating systems. The chapter starts with a brief review of some important concepts from statistical mechanics and then introduces the classic Verlet method for obtaining the dynamics of many simple particles. The practical problems of setting the system temperature and measuring observables are discussed. The issues associated with simulating systems of complex objects form the next topic. One approach is to implement constrained dynamics, which can be done elegantly with iterative methods. Gravitational systems are introduced next with stress on techniques that are applicable to systems of different scales and to problems with long range forces. A description of the recursive Barnes-Hut algorithm and particle-mesh methods that speed up force calculations close out the chapter.

scholarly journals Collisional Stellar Dynamics in General Relativity: An Overview

1985 ◽  
Vol 113 ◽  
pp. 323-325
Author(s):  
Henry E. Kandrup
Keyword(s):  
General Relativity ◽  
Statistical Mechanics ◽  
Stellar Dynamics ◽  
Classical General Relativity ◽  
Point Mass ◽  
Radiative Effects ◽  
Equilibrium Statistical Mechanics ◽  
Covariant Approach ◽  
Non Equilibrium

Recently, Israel and Kandrup (1984; Kandrup 1984 a,b,c,d) have formulated a new, manifestly covariant approach to non-equilibrium statistical mechanics in classical general relativity. The object here is to indicate how that formalism may be used to construct a theory of ‘collisional’ stellar dynamics, valid for a collection of point mass stars in the limit that incoherent radiative effects may be neglected.

Statistical mechanics of gravitating systems

1990 ◽  
Vol 188 (5) ◽  
pp. 285-362 ◽  
Author(s):  
T. Padmanabhan
Keyword(s):  
Statistical Mechanics ◽  
Gravitating Systems
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