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Recent Progress in the Study of One‐Dimensional Gravitating Systems
Author(s) -
MILLER BRUCE N.,
YAWN KENNETH,
YOUNGKINS PAIGE
Publication year - 1998
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1998.tb11263.x
Subject(s) - planar , microcanonical ensemble , equipartition theorem , kinetic energy , physics , classical mechanics , complex system , parallels , gravitational field , reduced mass , gravitation , statistical physics , concentric , mean field theory , canonical ensemble , geometry , mathematics , quantum mechanics , computer science , magnetic field , mechanical engineering , statistics , computer graphics (images) , artificial intelligence , monte carlo method , engineering
We review recent developments in the study of two different interacting gravitational systems: the system of parallel planar mass sheets and the system of concentric spherical mass shells. The approach to equilibrium of a system of parallel planar mass sheets is investigated. Parallels with three‐dimensional systems are described. Mass segregation and kinetic energy equipartition in a two‐component system of planar mass sheets is demonstrated via numerical simulation. The existence of two distinct phases is demonstrated in the system of spherical mass shells. The nature of the transition in the micro‐canonical, canonical, and grand canonical ensembles is studied both theoretically in terms of mean‐field theory and via dynamical simulation.