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In this note, we study the phase transitions arising in a modified Smoluchowski equation on the sphere with dipolar potential. This equation models the competition between alignment and diffusion, and the modification consists in taking the…

Mathematical Physics · Physics 2012-12-18 Pierre Degond , Amic Frouvelle , Jian-Guo Liu

We consider a model consisting of a self-avoiding polygon occupying a variable density of the sites of a square lattice. A fixed energy is associated with each $90^\circ$-bend of the polygon. We use a grand canonical ensemble, introducing…

Soft Condensed Matter · Physics 2015-05-20 David Aristoff , Charles Radin

We study the boundary critical behavior of the three-dimensional Heisenberg universality class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo simulations of an improved lattice model, where leading bulk…

Statistical Mechanics · Physics 2025-05-12 Francesco Parisen Toldin

We use the matching method to investigate the first-order phase transition in holographic superconductor and superfluid. We first use the simple holographic superconductor model to describe the matching method and mention how to see the…

High Energy Physics - Theory · Physics 2015-06-16 Wung-Hong Huang

In this paper we derive, starting from the basic principles of Thermodynamics, an extended version of the nonconserved Penrose-Fife phase transition model, in which dynamic boundary conditions are considered in order to take into account…

Analysis of PDEs · Mathematics 2013-01-24 Alain Miranville , Elisabetta Rocca , Giulio Schimperna , Antonio Segatti

We employ Monte Carlo simulations to study a generalized three-dimensional complex $psi|^4 theory of Ginzburg-Landau form and compare our numerical results with a recent quasi-analytical mean-field type approximation, which predicts…

Statistical Mechanics · Physics 2009-11-11 Elmar Bittner , Wolfhard Janke

We study first-order electroweak phase transitions nonperturbatively, assuming any particles beyond the Standard Model are sufficiently heavy to be integrated out at the phase transition. Utilising high temperature dimensional reduction, we…

High Energy Physics - Lattice · Physics 2024-10-17 Oliver Gould , Sinan Güyer , Kari Rummukainen

Varying the curvature, quantum phase transitions are investigated in holographic confining QFTs defined on a fixed constant positive curvature background. We find a competition between two branches of solutions and a phase transition as one…

High Energy Physics - Theory · Physics 2025-02-07 Jani Kastikainen , Elias Kiritsis , Francesco Nitti

Nature of the phase transition of regularly frustrated vector spin systems in three dimensions is investigated based on a Ginzburg-Landau-type effective Hamiltonian. On the basis of the variational analysis of this model, Onoda et al…

Statistical Mechanics · Physics 2010-09-21 Tsuyoshi Okubo , Hikaru Kawamura

From the viewpoint of holography, the phase structure of a 5-dimensional Reissner-Nordstr\"{o}m-AdS black hole is probed by the two point correlation function, Wilson loop, and entanglement entropy. As the case of thermal entropy, we find…

High Energy Physics - Theory · Physics 2016-09-22 Xiao-Xiong Zeng , Li-Fang Li

First-order phase transitions are commonly associated with a discontinuous behavior of some of the thermodynamic variables and the presence of a latent heat. In the present study it is shown that this is not necessarily the case. Using…

Classical Physics · Physics 2026-02-19 Matthias Hempel

We study hardcore bosons on a triangular ladder at half filling in the presence of a frustrating hopping term and a competing nearest neighbor repulsion $V$ which promotes crystallization. Using the finite-size density-matrix…

Strongly Correlated Electrons · Physics 2013-09-12 Tapan Mishra , Ramesh V. Pai , Subroto Mukerjee , Arun Paramekanti

Consistent with cosmological constraints, there are scenarios with the large lepton asymmetry which can lead to the finite baryochemical potential at the cosmic QCD phase transition scale. In this paper, we investigate this possibility in…

High Energy Physics - Theory · Physics 2018-02-14 M. Ahmadvand , K. Bitaghsir Fadafan

We investigate a unitary matrix model with a complex potential with Fisher-Hartwig singularities. We show that the model exhibits finite-$N$ phase transitions. The order of the phase transition is coupling-dependent. At large-$N$, these…

High Energy Physics - Theory · Physics 2026-02-23 Anuj Malik , Anees Ahmed

We discuss the nature of the QCD phase transition in the heavy quark high-density region by considering an effective theory in which Polyakov loops are dynamical variables. The Polyakov loop is an order parameter of $Z_3$ symmetry, and the…

High Energy Physics - Lattice · Physics 2026-01-23 Shinji Ejiri , Masanari Koiida , Toshiki Sato

The origin of the non commutativity of the limits $t \to \infty$ and $N \to \infty$ in the dynamics of first order transitions is investigated. In the large-N model, i.e. $N \to \infty$ taken first, the low temperature phase is…

Statistical Mechanics · Physics 2009-10-30 C. Castellano , F. Corberi , M. Zannetti

First-order phase transitions exist in many models beyond the Standard Model and can generate detectable stochastic gravitational waves for a strong one. Using the cosmological observables in big bang nucleosynthesis and cosmic microwave…

High Energy Physics - Phenomenology · Physics 2022-05-25 Yang Bai , Mrunal Korwar

It has recently been observed that the weakly coupled plane wave matrix model has a density of states which grows exponentially at high energy. This implies that the model has a phase transition. The transition appears to be of first order.…

High Energy Physics - Theory · Physics 2007-05-23 Shirin Hadizadeh , Bojan Ramadanovic , Gordon W. Semenoff , Donovan Young

We study a diffusion model of phase field type, consisting of a system of two partial differential equations encoding the balances of microforces and microenergy; the two unknowns are the order parameter and the chemical potential. By a…

Analysis of PDEs · Mathematics 2011-03-24 Pierluigi Colli , Gianni Gilardi , Paolo Podio-Guidugli , Juergen Sprekels

First-order irreversible phase transitions (IPT's) between an active regime and an absorbing state are studied in two models by means of both simulations and mean-field stability analysis. Hysteresis around coexistence is the result of the…

Statistical Mechanics · Physics 2007-05-23 Roberto A. Monetti , Alejandro Rozenfeld , Ezequiel V. Albano