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The thermodynamics with medium effects expressed by the dispersion relation of the temperature and density dependent particle mass is studied. Many previous treatments have been reviewed. A new thermodynamical treatment based on the…

Nuclear Theory · Physics 2007-05-23 Shaoyu Yin , Ru-Keng Su

In various statistical-mechanical models the introduction of a metric onto the space of parameters (e.g. the temperature variable, $\beta$, and the external field variable, $h$, in the case of spin models) gives an alternative perspective…

Statistical Mechanics · Physics 2008-11-26 B. P. Dolan , D. A. Johnston , R. Kenna

We study how the thermodynamic properties of the Triangular Plaquette Model (TPM) are influenced by the addition of extra interactions. The thermodynamics of the original TPM is trivial, while its dynamics is glassy, as usual in Kinetically…

Disordered Systems and Neural Networks · Physics 2016-03-23 Silvio Franz , Giacomo Gradenigo , Stefano Spigler

We investigate numerically and analytically Potts models on ``thin'' random graphs -- generic Feynman diagrams, using the idea that such models may be expressed as the N --> 1 limit of a matrix model. The thin random graphs in this limit…

High Energy Physics - Lattice · Physics 2008-11-26 D. A. Johnston , P. Plechac

We solve the ferromagnetic q-state Potts model on an inhomogeneous annealed network which mimics a random recursive graph. We find that this system has the inverted Berezinskii--Kosterlitz--Thouless (BKT) phase transition for any $q \geq…

Statistical Mechanics · Physics 2009-11-13 E. Khajeh , S. N. Dorogovtsev , J. F. F. Mendes

We extend the Carath\'{e}odory principle of the Second Law to quantum thermodynamics with energy levels depending on macroscopic variables, such as volume and magnetic field. This extension introduces the concept of Quantum Thermodynamic…

Statistical Mechanics · Physics 2025-09-09 Ruo-Xun Zhai , C. P. Sun

We study using Monte Carlo simulations the finite-size scaling behavior of the interfacial adsorption of the two-dimensional square-lattice $q$-states Potts model. We consider the pure and random-bond versions of the Potts model for $q =…

Statistical Mechanics · Physics 2017-03-16 Nikolaos G. Fytas , Panagiotis E. Theodorakis , Anastasios Malakis

Applied magnetic fields are an important tuning parameter for artificial spin ice (ASI) systems, as they can drive phase transitions between different magnetic ground states, or tune through regimes with high populations of emergent…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 M. Goryca , X. Zhang , J. D. Watts , C. Nisoli , C. Leighton , P. Schiffer , S. A. Crooker

The $q$-state Potts model with a long-range correlated disorder is studied by means of large-scale Monte Carlo simulations for $q=2,4,8$ and 16. Evidence is given of the existence of a Griffiths phase, where the thermodynamic quantities…

Statistical Mechanics · Physics 2015-06-16 Christophe Chatelain

The self-consistent quasiparticle model has been successful in studying QCD thermodynamics. In this model, the medium effects are taken into account by considering quarks and gluons as quasiparticles with temperature-dependent masses which…

Nuclear Theory · Physics 2020-06-19 Sebastian Koothottil , Vishnu M. Bannur

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 study a two dimensional Ising model between thermostats at different temperatures. By applying the recently introduced KQ dynamics, we show that the system reaches a steady state with coexisting phases transversal to the heat flow. The…

Statistical Mechanics · Physics 2008-03-27 E. Agliari , M. Casartelli , A. Vezzani

We reconsider the mean-field Potts model with $q$ interacting and $r$ non-interacting (invisible) states. The model was recently introduced to explain discrepancies between theoretical predictions and experimental observations of phase…

Statistical Mechanics · Physics 2016-05-18 M. Krasnytska , P. Sarkanych , B. Berche , Yu. Holovatch , R. Kenna

We calculate the new dinamic exponent $\theta $ of the 4-state Potts model, using short-time simulations. Our estimates $\theta_{1}=-0.0471(33)$ and $% \theta_{2}=$ $-0.0429(11)$ obtained by following the behavior of the magnetization or…

Statistical Mechanics · Physics 2009-11-10 Roberto da Silva , J. R. Drugowich de Felicio

We investigate the thermodynamic behavior of open quantum systems through the Hamiltonian of Mean Force, focusing on two models: a two-qubit system interacting with a thermal bath and a Jaynes-Cummings Model without the rotating wave…

Quantum Physics · Physics 2025-09-03 Neha Pathania , Devvrat Tiwari , Subhashish Banerjee

In this work we study the thermodynamics formulation for unimodular gravity under the election of two different models for the energy diffusion function. Such function encodes the current for the non-conservation of the energy-momentum…

General Relativity and Quantum Cosmology · Physics 2024-11-21 Miguel Cruz , Norman Cruz , Samuel Lepe

Three-dimensional (3D) $q$-state Potts models ($q$=3, 4, and 5) are studied by the tensor product variational approach (TPVA), which is a recently developed variational method for 3D classical lattice models. The variational state is given…

Statistical Mechanics · Physics 2009-11-07 Andrej Gendiar , Tomotoshi Nishino

We study the antiferromagnetic q-state Potts model on the square lattice for q=3 and q=4, using the Wang-Swendsen-Kotecky (WSK) Monte Carlo algorithm and a powerful finite-size-scaling extrapolation method. For q=3 we obtain good control up…

Statistical Mechanics · Physics 2021-01-01 Sabino José Ferreira , Alan D. Sokal

In the present work the Mott effect for pions and kaons is described within a Beth- Uhlenbeck approach on the basis of the PNJL model. The contribution of these degrees of freedom to the thermodynamics is encoded in the temperature…

High Energy Physics - Phenomenology · Physics 2016-03-23 A. Dubinin , D. Blaschke , A. Radzhabov

We define a block observable for the $q$-state Potts model which exhibits an intermittent behaviour at the critical point. We express the intermittency indices of the normalised moments in terms of the magnetic critical exponent $\beta…

High Energy Physics - Theory · Physics 2009-09-25 Yves Leroyer