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We present a probabilistic model for the QCD critical endpoint (CEP) and the equation of state (EOS) at $\beta$-equilibrium, constrained by neutron-star observations. Using a hybrid framework that combines the holographic V-QCD model with…

High Energy Astrophysical Phenomena · Physics 2025-06-13 Christian Ecker , Niko Jokela , Matti Järvinen

Molecular dynamic simulations for systems with $D=2,3$ Lennard-Jones-like interactions are studied. In the model, we assume that, at long distances, the two-body attractive potential decays as $r^{-\alpha}$. Thermodynamic extensivity…

Condensed Matter · Physics 2009-10-31 Sergio Curilef , Constantino Tsallis

Lee-Yang and Fisher zeros are crucial for the study of phase transitions in the grand canonical and the canonical ensembles, respectively. However, these powerful methods do not cover the isothermal-isobaric ensemble (NPT ensemble), which…

Statistical Mechanics · Physics 2019-11-27 Timur Aslyamov , Iskander Akhatov

The Curie-Weiss Potts model is a mean field version of the well-known Potts model. In this model, the critical line $\beta = \beta_c (h)$ is explicitly known and corresponds to a first order transition when $q > 2$. In the present paper we…

Probability · Mathematics 2009-11-20 Daniel Gandolfo , Jean Ruiz , Marc Wouts

Recently we have proposed (J. Chem. Phys. 128 (2008) 134508) a new rescaling of fluid density $\rho $ by its critical value $\rho_c^{2/3}$ to apply the corresponding states law for the attractive Yukawa fluids study. Analysis of precise…

Statistical Mechanics · Physics 2008-07-30 Yurko Duda , Pedro Orea

We subject to scrutiny the physical consistency of adopting the perfect-gas thermodynamic model within self-gravitation circumstances by studying the fluid statics of a self-gravitating isothermal sphere with the van der Waals'…

van der Waals interactions govern the physics of a plethora of molecular structures. It is well known that the leading term in the distance-based London expansion of the van der Waals energy for atomic and molecular dimers decays as…

Chemical Physics · Physics 2017-11-22 Mireia Via-Nadal , Mauricio Rodríguez-Mayorga , Eduard Matito

Using extensive Monte Carlo simulations, we test the hypothesis that the density of corresponding topological defects has an universal value at the temperature of a continuous phase transition. We consider several simple two-dimensional…

Strongly Correlated Electrons · Physics 2020-08-20 A. O. Sorokin

We study the thermodynamical properties of a one-dimensional gas with one-dimensional gravitational interactions, and placed in a uniform mass background. Periodic boundary conditions are implemented as a modification of the potential…

Statistical Mechanics · Physics 2017-02-22 Pankaj Kumar , Bruce N. Miller , Dan Pirjol

We propose a model that describes phase transition including meta\-stable states present in the van der Waals Equation of State. From a convex optimization problem on the Helmoltz free energy of a mixture, we deduce a dynamical system that…

Statistical Mechanics · Physics 2016-03-15 Francois James , Hélène Mathis

In this paper, we take into account the dilaton black hole solutions of Einstein gravity in the presence of logarithmic and exponential forms of nonlinear electrodynamics. At first, we consider the cosmological constant and nonlinear…

General Relativity and Quantum Cosmology · Physics 2018-03-13 Z. Dayyani , A. Sheykhi , M. H. Dehghani , S. Hajkhalili

A relativistic mean-field model of nuclear matter with arbitrary proton fraction is studied at finite temperature. An analysis is performed of the liquid-gas phase transition in a system with two conserved charges (baryon number and…

Nuclear Theory · Physics 2008-11-26 Horst Mueller , Brian D. Serot

We present general results for the contact process by a method which applies to all transitive graphs of bounded degree, including graphs of exponential growth. The model's infection rates are varied through a control parameter, for which…

Probability · Mathematics 2008-09-29 Michael Aizenman , Paul Jung

We predict the structures of neutral gas-phase gold clusters ($Au_n$, $n$ = 5$-$13) at finite temperatures based on free-energy calculations obtained by replica-exchange ab initio molecular dynamics. The structures of neutral…

The $P$-$V$ phase transition of the FRW (Friedmann-Robertson-Walker) universe with a perfect fluid has recently been investigated, revealing that the four critical exponents near the critical point are consistent with the values predicted…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Haximjan Abdusattar

We study diffusion of hardcore particles on a one dimensional periodic lattice subjected to a constraint that the separation between any two consecutive particles does not increase beyond a fixed value $(n+1);$ initial separation larger…

Statistical Mechanics · Physics 2017-02-01 Arijit Chatterjee , P. K. Mohanty

In the extended phase space, the $d$-dimensional singly spinning Kerr-AdS black holes exhibit the van der Waals's phase transition and reentrant phase transition. Since the black hole system is a single characteristic parameter…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Shao-Wen Wei , Peng Cheng , Yu-Xiao Liu

Traditional derivations of the van der Waals equation typically use standard recipes involving ensemble averages of statistical mechanics. In this work, we study a box of weakly interacting gas particles in one-dimension from a purely…

Statistical Mechanics · Physics 2018-09-28 Chung-Yang Wang , Yih-Yuh Chen

We find novel phase transitions and critical phenomena that occur only outside the linear-response regime of current-driven nonequilibrium states. We consider the strongly-interacting (3+1)-dimensional N=4 large-Nc SU(Nc) supersymmetric…

High Energy Physics - Theory · Physics 2015-06-04 Shin Nakamura

The inherent structures ({\it IS}) are the local minima of the potential energy surface or landscape, $U({\bf r})$, of an {\it N} atom system. Stillinger has given an exact {\it IS} formulation of thermodynamics. Here the implications for…

Statistical Mechanics · Physics 2009-11-10 T. Keyes , J. Chowdhary