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We show how to construct space time lattices with a Regge action proportional to the energy of a given Ising or Potts model macrostate. This allows to take advantage of the existence of exact solution...
Statistical mechanics of collisionless orbits. I. Origin of central cusps in dark-matter halos
Cosmology and Extragalactic Astrophysics (astro-ph.CO) Statistical Mechanics (cond-mat.stat-mech)
2010/12/23
We present an equilibrium statistical mechanical theory of collisionless self-gravitational systems with isotropic velocity distributions.
Statistical mechanics of collisionless orbits. III. Comparison with N-body simulations
Cosmology and Extragalactic Astrophysics (astro-ph.CO)
2010/12/23
We compare the DARKexp differential energy distribution, N(E) \propto \exp(\phi_0-E)-1, obtained from statistical mechanical considerations, to the results of N-body simulations of dark matter halos.
Statistical mechanics of collisionless orbits. III. Comparison with N-body simulations
Cosmology and Extragalactic Astrophysics (astro-ph.CO)
2010/12/23
We compare the DARKexp differential energy distribution, N(E) \propto \exp(\phi_0-E)-1, obtained from statistical mechanical considerations, to the results of N-body simulations of dark matter halos.
Statistical mechanics of collisionless orbits. II. Structure of halos
Cosmology and Extragalactic Astrophysics (astro-ph.CO) Statistical Mechanics (cond-mat.stat-mech)
2010/12/23
In this paper, we present the density, \rho, velocity dispersion, \sigma, and \rho/\sigma^3 profiles of isotropic systems which have the energy distribution, N(E)\propto[\exp(\phi_0-E)-1], derived in ...
Statistical mechanics of collisionless orbits. I. Origin of central cusps in dark-matter halos
Cosmology and Extragalactic Astrophysics (astro-ph.CO) Statistical Mechanics (cond-mat.stat-mech)
2010/12/23
We present an equilibrium statistical mechanical theory of collisionless self-gravitational systems with isotropic velocity distributions.