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We construct a family of equations of state for QCD in the temperature range 30 MeV $\leq T\leq$ 800 MeV and in the chemical potential range $0\leq \mu_B \leq$ 450 MeV. These equations of state match available lattice QCD results up to…

We investigate percolation, a probabilistic model for continuous phase transition (CPT), on square and weighted planar stochastic lattices. In its thermal counterpart, entropy is minimally low where order parameter (OP) is maximally high…

Statistical Mechanics · Physics 2019-12-10 M. K. Hassan , D. Alam , Z. I. Jitu , M. M. Rahman

We have studied the ordering of the q-colours Potts model in two dimensions on a square lattice. On the basis of our observations we propose that if q is large enough the system is not able to break global and local null magnetisation…

Statistical Mechanics · Physics 2007-05-23 Miguel Ibanez de Berganza , Vittorio Loreto , Alberto Petri

We study the kinetics of the two-dimensional q > 4-state Potts model after a shallow quench slightly below the critical temperature and above the pseudo spinodal. We use numerical methods and we focus on intermediate values of q, 4 < q <…

Statistical Mechanics · Physics 2022-08-10 Federico Corberi , Leticia F. Cugliandolo , Marco Esposito , Onofrio Mazzarisi , Marco Picco

We numerically construct a family of five-dimensional black holes exhibiting a line of first-order phase transitions terminating at a critical point at finite chemical potential and temperature. These black holes are constructed so that the…

High Energy Physics - Theory · Physics 2011-04-22 Oliver DeWolfe , Steven S. Gubser , Christopher Rosen

Critical behavior developed near a quantum phase transition, interesting in its own right, offers exciting opportunities to explore the universality of strongly-correlated systems near the ground state. Cold atoms in optical lattices, in…

Quantum Gases · Physics 2011-04-21 Xibo Zhang , Chen-Lung Hung , Shih-Kuang Tung , Nathan Gemelke , Cheng Chin

Finding microscopic models for metallic states that exhibit quantum critical properties such as $\omega/T$ scaling is a major theoretical challenge. We calculate the local dynamical spin susceptibility $\chi(T,\omega)$ for a Hubbard model…

Strongly Correlated Electrons · Physics 2017-04-07 Nagamalleswararao Dasari , N. S. Vidhyadhiraja , Mark Jarrell , Ross H. McKenzie

(Please refer to arXiv:1810.08050, which has completely different aims but contains all the main contents of this paper) In this work, we propose to access the information of criticality and excitations of one-dimensional quantum systems by…

Strongly Correlated Electrons · Physics 2018-10-22 Emanuele Tirrito , Luca Tagliacozzo , Maciej Lewenstein , Shi-Ju Ran

Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic…

Statistical Mechanics · Physics 2019-06-26 Carlos E. Fiore , Mário J. de Oliveira

We investigate the critical behavior of trapped particle systems at the low-temperature superfluid transition. In particular, we consider the three-dimensional Bose-Hubbard model in the presence of a trapping harmonic potential coupled with…

Statistical Mechanics · Physics 2013-07-23 Giacomo Ceccarelli , Christian Torrero , Ettore Vicari

We develop a scaling theory for the finite-size critical behavior of the microcanonical entropy (density of states) of a system with a critically-divergent heat capacity. The link between the microcanonical entropy and the canonical energy…

Statistical Mechanics · Physics 2009-10-31 A. D. Bruce , N. B. Wilding

Although it has long been known that the proper quantum field theory description of critical percolation involves a logarithmic conformal field theory (LCFT), no direct consequence of this has been observed so far. Representing critical…

Statistical Mechanics · Physics 2012-07-24 Romain Vasseur , Jesper Lykke Jacobsen , Hubert Saleur

We study phase transition in the ferromagnetic Potts model with invisible states that are added as redundant states by mean-field calculation and Monte Carlo simulation. Invisible states affect the entropy and the free energy, although they…

Statistical Mechanics · Physics 2010-08-30 Ryo Tamura , Shu Tanaka , Naoki Kawashima

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using Monte Carlo simulations. The ordering in a medium temperature range below the critical point is investigated in detail. Two different regimes have…

Condensed Matter · Physics 2009-10-28 M. Kolesik , M. Suzuki

In previous work with Scullard, we defined a graph polynomial P_B(q,T) that gives access to the critical temperature T_c of the q-state Potts model on a general two-dimensional lattice L. It depends on a basis B, containing n x m unit cells…

Statistical Mechanics · Physics 2015-07-19 Jesper Lykke Jacobsen

We investigate the long-range statistical correlations, whereby discuss the nature of the undermining interacting/ noninteracting domains and associated phase transitions under variations of the quark mass and the mass scale that…

High Energy Physics - Lattice · Physics 2019-08-19 Bhupendra Nath Tiwari

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class,…

Condensed Matter · Physics 2015-06-25 M. Kolesik , M. Suzuki

A central tenet in the theory of quantum phase transitions (QPTs) is that a nonanalyticity in the ground-state energy in the thermodynamic limit implies a QPT. Here we report on a finding that challenges this assertion. As a case study we…

Statistical Mechanics · Physics 2020-08-20 Mariana Malard , David Brandao , Paulo Eduardo de Brito , Henrik Johannesson

What is the interface temperature during phase transition (for instance, from liquid to vapor)? This question remains fundamentally unresolved. In the modeling of heat transfer problems with no phase change, the temperature and heat flux…

Statistical Mechanics · Physics 2023-11-02 Tom Y. Zhao , Neelesh A. Patankar

We present exact calculations of the partition function of the $q$-state Potts model on (i) open, (ii) cyclic, and (iii) M\"obius strips of the honeycomb (brick) lattice of width $L_y=2$ and arbitrarily great length. In the infinite-length…

Statistical Mechanics · Physics 2009-10-31 Shu-Chiuan Chang , Robert Shrock
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