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The kinetics of chiral transitions in quark matter is studied in a two flavor Nambu-Jona-Lasinio model. We focus on the phase ordering dynamics subsequent to a temperature quench from the massless quark phase to the massive quark phase. We…

High Energy Physics - Phenomenology · Physics 2015-05-27 Awaneesh Singh , Sanjay Puri , Hiranmaya Mishra

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…

Statistical Mechanics · Physics 2025-09-19 Gunter Schutz , Ali Zahra

The study of QCD with two light dynamical fermions is of fundamental importance to understand the mechanism of color confinement. We present results of a numerical investigation on the order of the chiral phase transition with $N_f = 2$ by…

High Energy Physics - Lattice · Physics 2008-11-26 M. D'Elia , A. Di Giacomo , C. Pica

Motivated by the cosmological collider program, which aims to probe high-energy physics through inflation, we investigate the phase diagram of multi-flavor QCD in de Sitter spacetime with a flavor-universal axial chemical potential induced…

High Energy Physics - Phenomenology · Physics 2026-01-01 Kohei Fujikura , Toshifumi Noumi

An investigation of dynamical chiral symmetry breaking on the light front is made in the Nambu--Jona-Lasinio model with one flavor and N colors. Analysis of the model suffers from extraordinary complexity due to the existence of a…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Itakura , S. Maedan

A family of nonequilibrium kinetic Ising models, introduced earlier, evolving under the competing effect of spin flips at {\it zero temperature} and nearest neighbour random spin exchanges is further investigated here. By increasing the…

Condensed Matter · Physics 2009-10-28 N. Menyhard , G. Odor

The chiral phase transition at finite temperature and density is discussed in the framework of the QCD-like gauge field theory. The thermodynamical potential is investigated using a variational approach. Latent heat generated in the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Masaharu Iwasaki , Hiyoshi Kiuchi

Mixed-order phase transitions display a discontinuity in the order parameter like first-order transitions yet feature critical behavior like second-order transitions. Such transitions have been predicted for a broad range of equilibrium and…

Statistical Mechanics · Physics 2017-12-07 Ricard Alert , Pietro Tierno , Jaume Casademunt

We study dynamical properties of strongly coupled chiral matter by using holographic method. We demonstrate, at both linear and nonlinear levels, that perturbations on thermodynamically unstable backgrounds within the spinodal region of…

High Energy Physics - Phenomenology · Physics 2025-07-29 Pei Zheng , Yidian Chen , Danning Li , Mei Huang , Yu-xin Liu

Nonequlibrium phase transition of an open Takayama-Lin Liu-Maki chain coupled with two reservoirs is investigated by combining a mean-field approximation and a formula characterizing nonequlibrium steady states, which is obtained from the…

Statistical Mechanics · Physics 2013-09-24 Shigeru Ajisaka , Hisashi Nishimura , Shuichi Tasaki , Ichiro Terasaki

We investigate non-equilibrium phase coexistence associated with a first-order phase transition by numerically studying a one-dimensional Hamiltonian-Potts model with fractional spatial derivatives. The fractional derivative is introduced…

Statistical Mechanics · Physics 2026-02-04 Hitomi Endo , Michikazu Kobayashi

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan

We consider the two flavor version of the Linear Sigma Model as well as of the Nambu Jona-Lasinio model, at finite temperature and quark chemical potential, beyond the Mean Field Approximation. Using parameter values for the pion and quark…

Nuclear Theory · Physics 2010-12-23 Lorenzo Ferroni , Volker Koch , Marcus B. Pinto

We investigate the possible existence of spin polarization and color superconductivity in the Nambu--Jona-Lasinio model with a tensor-type interaction at finite density and temperature. The thermodynamic potential is calculated by the…

High Energy Physics - Phenomenology · Physics 2017-04-05 Hiroaki Matsuoka , Yasuhiko Tsue , Joao da Providencia , Constancia Providencia , Masatoshi Yamamura

For one flavour, we observe that standard chiral random matrix models are schematic variants of the Nambu-Jona-Lasinio (NJL) models whether in vacuum or matter. The ensuing thermodynamics is that of constituent quarks, with mean-field…

High Energy Physics - Phenomenology · Physics 2009-10-28 Romuald Janik , Maciek Nowak , Ismail Zahed

First order phase transitions occur discretely from one state to another, however they often display continuous behavior. To understand this nature, it is essential to probe how the emergent phase nucleates, interacts and evolves with the…

Mesoscale and Nanoscale Physics · Physics 2014-05-20 Yongseong Choi , David J. Keavney , Martin V. Holt , Vojtěch Uhlíř , Dario Arena , Eric E. Fullerton , Philip J. Ryan , Jong-Woo Kim

The connection between the thermodynamics of charged finite nuclear systems and the asymptotically measured partitions is presented. Some open questions, concerning in particular equilibrium partitions are discussed. We show a detailed…

We look at the influence of external fields on systems described by generic free energy functional of the order parameter. The external force may have arbitrary spatial dependence, and the order parameter coupling may be nonlinear. The…

Statistical Mechanics · Physics 2023-01-05 Roni Kroll , Yoav Tsori

In this review, we summarize recent progress on the possible phases of quantum chromodynamics (QCD) in the presence of a strong magnetic field, mainly from the views of the chiral effective Nambu--Jona-Lasinio model. Four kinds of phase…

High Energy Physics - Phenomenology · Physics 2023-02-22 Gaoqing Cao

This series of three lectures covers (a) a basic introduction to symmetry breaking in general and chiral symmetry breaking in QCD, (b) an overview of the present status of lattice data and the knowlegde that we have at finite temperature…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. P. Klevansky