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We discuss the nature of phase transitions in self-gravitating systems both in the microcanonical and in the canonical ensemble. We avoid the divergence of the gravitational potential at short distances by considering the case of…

统计力学 · 物理学 2009-11-07 P. H. Chavanis

We study the nature of phase transitions in a self-gravitating classical gas in the presence of a central body. The central body can mimic a black hole at the center of a galaxy or a rocky core (protoplanet) in the context of planetary…

统计力学 · 物理学 2023-08-08 P. H. Chavanis , J. Sopik , C. Sire

A one dimensional stochastic exclusion process with two species of particles, $+$ and $-$, is studied where density of each species can fluctuate but the total particle density is conserved. From the exact stationary state weights we show…

统计力学 · 物理学 2017-01-10 Urna Basu

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…

天体物理学 · 物理学 2007-05-23 Victor Laliena

We discuss the occurrence of gravitational phase transitions and instabilities in a gas of self-gravitating fermions within the framework of general relativity. In the classical (nondegenerate) limit, the system undergoes a gravitational…

广义相对论与量子宇宙学 · 物理学 2020-02-11 Pierre-Henri Chavanis , Giuseppe Alberti

We consider single-file diffusion in an open system with two species $A,B$ of particles. At the boundaries we assume different reservoir densities which drive the system into a non-equilibrium steady state. As a model we use an…

统计力学 · 物理学 2007-05-23 A. Brzank , G. M. Schütz

We consider a system of particles interacting via a screened Newtonian potential and study phase transitions between homogeneous and inhomogeneous states in the microcanonical and canonical ensembles. Like for other systems with long-range…

统计力学 · 物理学 2013-05-29 P. H. Chavanis , L. Delfini

This is a summarising investigation of the events of the phase transition of the first order that occur in the critical region below the liquid-gas critical point. The grand partition function has been completely integrated in the…

统计力学 · 物理学 2015-01-13 I. R. Yukhnovskii

In recent years, quantum phase transitions have attracted the interest of both theorists and experimentalists in condensed matter physics. These transitions, which are accessed at zero temperature by variation of a non-thermal control…

凝聚态物理 · 物理学 2009-11-10 Matthias Vojta

We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which features qualitatively distinct temporal…

统计力学 · 物理学 2022-10-25 Jamir Marino , Martin Eckstein , Matthew S. Foster , Ana Maria Rey

We discuss the nature of phase transitions in the fermionic King model which describes tidally truncated quantum self-gravitating systems. This distribution function takes into account the escape of high energy particles and has a finite…

宇宙学与河外天体物理 · 物理学 2016-07-12 Pierre-Henri Chavanis , Mohammed Lemou , Florian Méhats

We investigate a novel variant of the exclusion process in which particles perform asymmetric nearest-neighbor jumps across a bond \((k, k+1)\) only if the preceding site \((k-1)\) is unoccupied. This next-nearest-neighbor constraint…

统计力学 · 物理学 2025-09-19 Gunter Schutz , Ali Zahra

Self-gravitating systems are expected to reach a statistical equilibrium state either through collisional relaxation or violent collisionless relaxation. However, a maximum entropy state does not always exist and the system may undergo a…

统计力学 · 物理学 2009-11-07 P. H. Chavanis , C. Rosier , C. Sire

We study real space condensation in aggregation-fragmentation models where the total mass is not conserved, as in phenomena like cloud formation and intracellular trafficking. We study the scaling properties of the system with influx and…

统计力学 · 物理学 2015-06-15 Himani Sachdeva , Mustansir Barma , Madan Rao

The grand canonical thermodynamics of a bosonic system is studied in order to identify the footprint of its own high-density quantum phase transition. The phases displayed by the system at zero temperature establish recognizable patterns at…

量子物理 · 物理学 2022-04-13 Miguel Alvarez , Jose Reslen

Given a Poisson point process of unit masses (``stars'') in dimension d>=3, Newtonian gravity partitions space into domains of attraction (cells) of equal volume. In earlier work, we showed the diameters of these cells have exponential…

概率论 · 数学 2017-03-14 Sourav Chatterjee , Ron Peled , Yuval Peres , Dan Romik

Dynamical phase transitions are crucial features of the fluctuations of statistical systems, corresponding to boundaries between qualitatively different mechanisms of maintaining unlikely values of dynamical observables over long periods of…

统计力学 · 物理学 2017-06-02 Alexandre Lazarescu

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

天体物理学 · 物理学 2009-11-11 Patrick Valageas

A system of N classical particles in a 2D periodic cell interacting via long-range attractive potential is studied. For low energy density $U$ a collapsed phase is identified, while in the high energy limit the particles are homogeneously…

统计力学 · 物理学 2016-08-31 Alessandro Torcini , Mickael Antoni

Condensation occurs in nonequilibrium steady states when a finite fraction of particles in the system occupies a single lattice site. We study condensation transitions in a one-dimensional zero-range process with a single defect site. The…

统计力学 · 物理学 2009-11-10 A. G. Angel , M. R. Evans , D. Mukamel
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