Microcanonical Monte Carlo study of one dimensional self-gravitating lattice gas models

Maciel, J. M.; Amato, M. A.; Filho, T. M. Rocha; Figueiredo, Annibal

doi:10.1140/epjb/e2017-70550-9

Cited by 1 publication

(4 citation statements)

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“…One type softens the law of gravity at short distances and thus remove forces of divergent strength [3,7,9,11]. The other type keeps the particles away from the divergences by a short-distance repulsive force of some kind [5,6,8,9]. In the following, we compare consequences of short-distance regularization for three realizations of the latter type.…”

Section: Appendix C: Decay Lawsmentioning

confidence: 99%

“…For the potential we solve ( 17) with ( 23) and use ρ(r) from (35). The resulting expression in scaled units (9) is…”

Section: A T =mentioning

confidence: 99%

“…Antidotes against collapse in self-gravitating systems of massive particles come in two types. One type softens the law of gravity at short distances and thus remove forces of divergent strength [3,7,9,11]. The other type keeps the particles away from the divergences by a short-distance repulsive force of some kind [5,6,8,9].…”

Section: Appendix E: Short-distance Regularizationsmentioning

confidence: 99%

“…It pre-vents the gas from suffering a gravitational collapse at low T , which is well known to happen to a classical gas of point particles [3,4]. Different schemes [3,[5][6][7][8][9][10][11]] of short-distance regularization have been used before with considerable success and consistency as substitutes for the Pauli principle operating in fermionic matter [10,12].…”

Section: Introductionmentioning

confidence: 99%

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Density profiles of a self-gravitating lattice gas in one, two, and three dimensions

et al. 2018

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We consider a lattice gas in spaces of dimensionality D=1,2,3. The particles are subject to a hardcore exclusion interaction and an attractive pair interaction that satisfies Gauss' law as do Newtonian gravity in D=3, a logarithmic potential in D=2, and a distance-independent force in D=1. Under mild additional assumptions regarding symmetry and fluctuations we investigate equilibrium states of self-gravitating material clusters, in particular radial density profiles for closed and open systems. We present exact analytic results in several instances and high-precision numerical data in others. The density profile of a cluster with finite mass is found to exhibit exponential decay in D=1 and power-law decay in D=2 with temperature-dependent exponents in both cases. In D=2 the gas evaporates in a continuous transition at a nonzero critical temperature. We describe clusters of infinite mass in D=3 with a density profile consisting of three layers (core, shell, halo) and an algebraic large-distance asymptotic decay. In D=3 a cluster of finite mass can be stabilized at T>0 via confinement to a sphere of finite radius. In some parameter regime, the gas thus enclosed undergoes a discontinuous transition between distinct density profiles. For the free energy needed to identify the equilibrium state we introduce a construction of gravitational self-energy that works in all D for the lattice gas. The decay rate of the density profile of an open cluster is shown to transform via a stretched exponential for 1

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