Self-consistent Solutions of Canonical Proper Self-gravitating Quantum Systems
نویسندگان
چکیده
منابع مشابه
Thermodynamics of self-gravitating systems.
We study the thermodynamics and the collapse of a self-gravitating gas of Brownian particles. We consider a high-friction limit in order to simplify the problem. This results in the Smoluchowski-Poisson system. Below a critical energy or below a critical temperature, there is no equilibrium state and the system develops a self-similar collapse leading to a finite time singularity. In the microc...
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This work assembles some basic theoretical elements on thermal equilibrium, stability conditions, and fluctuation theory in self-gravitating systems illustrated with a few examples. Thermodynamics deals with states that have settled down after sufficient time has gone by. Time dependent phenomena are beyond the scope of this paper. While thermodynamics is firmly rooted in statistical physics, e...
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All axisymmetric self-similar equilibria of self-gravitating, rotating, isothermal systems are identified by solving the nonlinear Poisson equation analytically. There are two families of equilibria: (1) Cylindrically symmetric solutions in which the density varies with cylindrical radius as R, with 0 ≤ α ≤ 2. (2) Axially symmetric solutions in which the density varies as f(θ)/r, where r is the...
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We shall review different approaches to the entropy of self-gravitating systems in General Relativity. Then we shall discuss in detail the macroscopic approach based on à la Clausius point of view. Recent developments will be reviewed discussing the aims as well as the assumptions which the framework is based on.
متن کاملPhase structure of self-gravitating systems
The equilibrium properties of classical self-gravitating systems in the grand canonical ensemble are studied by using the correspondence with an euclidean field theory with infrared and ultraviolet cutoffs. It is shown that the system develops a first order phase transition between a low and a high density regime. In addition, due to the long range of the gravitational potential, the system is ...
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ژورنال
عنوان ژورنال: Foundations of Physics
سال: 2012
ISSN: 0015-9018,1572-9516
DOI: 10.1007/s10701-012-9684-2