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By means of quantum Monte Carlo simulations implemented with a two-loop update scheme, the finite-temperature phase diagram of a three-body constrained attractive Bose lattice gas is investigated. The nature of the thermal phase transitions…

Quantum Gases · Physics 2011-03-24 Kwai-Kong Ng , Min-Fong Yang

We show that, for fermionic atoms in a one-dimensional optical lattice, the fraction of atoms in doubly occupied sites is a highly non-monotonic function of temperature. We demonstrate that this property persists even in the presence of…

Quantum Gases · Physics 2012-04-30 V. L. Campo , K. Capelle , C. Hooley , J. Quintanilla , V. W. Scarola

We study the thermodynamics of a self-gravitating system of neutral fermions at finite temperature and analyze its backreaction in an asymptotically AdS space. We evaluate numerically the free entropy as a function of temperature, and…

High Energy Physics - Theory · Physics 2021-01-07 Carlos R. Argüelles , Tobías Canavesi , Manuel Díaz , Nicolás Grandi

In this paper, we study thermodynamics, thermal fluctuations, phase transitions and the charged anti-de Sitter black hole surrounded by perfect fluid dark matter. Large black holes are shown to be stable when subject to thermal…

General Relativity and Quantum Cosmology · Physics 2023-05-31 G. Abbas , R. H. Ali

The free-energy lattice Boltzmann (LB) model is one of the major multiphase models in the LB community. The present study is focused on a class of free-energy LB models in which the divergence of thermodynamic pressure tensor or its…

Computational Physics · Physics 2021-01-20 Q. Li , Y. Yu , R. Z. Huang

We study finite-temperature phase transitions in a two-dimensional boson Hubbard model with zero-point quantum fluctuations via Monte Carlo simulations of quantum rotor model, and construct the corresponding phase diagram. Compressibility…

Strongly Correlated Electrons · Physics 2009-11-13 Min-Chul Cha , Ji-Woo Lee

Steady nonequilibria dissipate energy and, when changing external parameters, an extra or excess heat accompanies the relaxation to the new nonequilibrium condition. For nonequilibrium systems in contact with a thermal bath, the heat…

Statistical Mechanics · Physics 2025-07-22 Lander Bogers , Faezeh Khodabandehlou , Christian Maes

A microcanonical first order transition, connecting a clustered to a homogeneous phase, is studied from both the thermodynamic and dynamical point of view for a N-body Hamiltonian system with infinite-range couplings. In the microcanonical…

Statistical Mechanics · Physics 2007-05-23 Mickael Antoni , Stefano Ruffo , Alessandro Torcini

We analyze a class of the BCS model, whose free dispersion relation is non-vanishing, under the influence of imaginary magnetic field at positive temperature. The magnitude of the negative coupling constant must be small but is allowed to…

Mathematical Physics · Physics 2021-04-20 Yohei Kashima

Ultracold fermionic atoms in optical lattices offer pristine realizations of Hubbard models, which are fundamental to modern condensed matter physics. Despite significant advancements, the accessible temperatures in these optical lattice…

A model of low-temperature polar liquids is constructed that accounts for configurational heat capacity, entropy, and the effect of a strong electric field on the glass transition. The model is based on Pad{\'e}-truncated perturbation…

Soft Condensed Matter · Physics 2016-08-03 D. V. Matyushov

We prove the existence of long-range order at sufficiently low temperatures, including zero temperature, for the three-state Potts antiferromagnet on a class of quasi-transitive plane quadrangulations, including the diced lattice. More…

Mathematical Physics · Physics 2014-09-18 Roman Kotecký , Alan D. Sokal , Jan M. Swart

In an attempt to derive thermodynamics from classical mechanics, an approximate expression for the equilibrium temperature of a finite system has been derived [M. Bianucci, R. Mannella, B. J. West, and P. Grigolini, Phys. Rev. E 51, 3002…

Statistical Mechanics · Physics 2015-06-24 Artur B. Adib

We study a particle immersed in a heat bath, in the presence of an external force which decays at least as rapidly as $1/x$, for example a particle interacting with a surface through a Lennard-Jones or a logarithmic potential. As time…

Statistical Mechanics · Physics 2019-01-09 Erez Aghion , David A. Kessler , Eli Barkai

The charge density wave phase transition of 1T-TiSe2 is studied by angle-resolved photoemission over a wide temperature range. An important chemical potential shift which strongly evolves with temperature is evidenced. In the framework of…

Strongly Correlated Electrons · Physics 2015-05-14 C. Monney , E. F. Schwier , C. Battaglia , M. G. Garnier , N. Mariotti , C. Didiot , H. Beck , P. Aebi , H. Cercellier , J. Marcus , H. Berger , A. N. Titov

The theory of superstatistics is a generalization of Boltzmann-Gibbs statistical mechanics which admits temperature fluctuations, and generates non-canonical ensembles from the distribution function of these fluctuations. Recently, some…

Statistical Mechanics · Physics 2025-04-29 Constanza Farías , Sergio Davis

Attempts to establish microcanonical entropy as an adiabatic invariant date back to works of Gibbs and Hertz. More recently, a consistency relation based on adiabatic invariance has been used to argue for the validity of Gibbs (volume)…

Statistical Mechanics · Physics 2016-01-04 Arash Tavassoli , Afshin Montakhab

Consider the steady Boltzmann equation with slab symmetry for a monatomic, hard sphere gas in a half space. At the boundary of the half space, it is assumed that the gas is in contact with its condensed phase. The present paper discusses…

Analysis of PDEs · Mathematics 2021-03-19 Niclas Bernhoff , François Golse

Aggregation transitions in disordered mesoscopic systems play an important role in several areas of knowledge, from materials science to biology. The lack of a thermodynamic limit in systems that are intrinsically finite makes the…

Statistical Mechanics · Physics 2022-02-25 L. F. Trugilho , L. G. Rizzi

We address a simple connection between results of Hamiltonian nonlinear dynamical theory and thermostatistics. Using a properly defined dynamical temperature in low-dimensional symplectic maps, we display and characterize long-standing…

Statistical Mechanics · Physics 2015-06-24 Fulvio Baldovin , Edgardo Brigatti , Constantino Tsallis