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We study numerically the entanglement entropy and spatial correlations of the one dimensional transverse field Ising model with three different perturbations. First, we focus on the out of equilibrium, steady state with an energy current…

Statistical Mechanics · Physics 2017-06-19 Richard Cole , Frank Pollmann , Joseph J. Betouras

A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck , A. Hucht

We study a stochastic lattice gas of particles in one dimension with strictly finite-range interactions that respect the fracton-like conservation laws of total charge and dipole moment. As the charge density is varied, the connectivity of…

Statistical Mechanics · Physics 2020-06-23 Alan Morningstar , Vedika Khemani , David A. Huse

We use Monte Carlo and Transfer Matrix methods in combination with extrapolation schemes to determine the phase diagram of the 2D super-antiferromagnetic (SAF) Ising model with next-nearest-neighbor (nnn) interactions in a magnetic field.…

Statistical Mechanics · Physics 2015-06-15 A. saguia , B. Boechat , O. F. de Alcantara Bonfim , J. Florencio

Atoms trapped in microcavities and interacting through the exchange of virtual photons can model an anisotropic Heisenberg spin-1/2 lattice. We do the quantum field theoretical study of such a system using the Abelian bosonization method…

Mesoscale and Nanoscale Physics · Physics 2009-10-29 Sujit Sarkar

We analyse the motion of a system of particles suspended in a fluid which has a random velocity field. There are coagulating and non-coagulating phases. We show that the phase transition is related to a Kramers problem, and use this to…

Disordered Systems and Neural Networks · Physics 2009-11-10 B. Mehlig , M. Wilkinson

We make for the first time a large-scale Monte-Carlo simulation of a ferromagnetic Heisenberg model with dipolar interactions on a two dimensional square lattice with open boundaries using an efficient new technique. We find that a phase…

Condensed Matter · Physics 2007-05-23 Fumitaka Matsubara , Junya Sasaki

We consider a free energy on the sphere that contains an entropy associated to nonlinear fast diffusion, and a nonlocal interaction energy. The two components of the free energy compete with each other, as one favours spreading and the…

Analysis of PDEs · Mathematics 2025-12-23 Razvan C. Fetecau , Hansol Park

A thermodynamically consistent multiphase phase-field approach for stress and temperature-induced martensitic phase transformation at the nanoscale and under large strains is developed. A total of N independent order parameters are…

Materials Science · Physics 2023-01-25 Anup Basak , Valery I. Levitas

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

Statistical Mechanics · Physics 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

We investigate how the interplay between a staggered magnetic field and staggered coupling strength affects both ground state and thermal entanglement. Upon analytically calculating thermodynamic quantities and the correlation functions for…

Quantum Physics · Physics 2012-06-26 Jenny Hide , Yoshifumi Nakata , Mio Murao

A phase field (PF) based electrochemical model is presented for simulation of galvanic corrosion. Distributions of electrolyte potential and current density on anode and cathode surfaces are obtained by coupling the phase field variable…

Materials Science · Physics 2018-04-24 Anahita Imanian , Mehdi Amiri

In this paper, we study the entanglement between two-neighboring sites and the rest of the system in a simple quantum phase transition of 1D transverse field Ising model. We find that the entanglement shows interesting scaling and singular…

Quantum Physics · Physics 2009-11-13 Shi-Quan Su , Jun-Liang Song , Shi-Jian Gu

We study the quantum phase transitions of a model that describes the interconversion of interacting bosonic atoms and molecules. Using a classical analysis, we identify a threshold coupling line separating a molecular phase and a mixed…

Quantum Gases · Physics 2010-07-07 Gilberto Santos , Angela Foerster , Jon Links , Eduardo Mattei , Silvio R. Dahmen

The nonequilibrium dynamic phase transition, in the two dimensional site diluted kinetic Ising model in presence of an oscillating magnetic field, has been studied by Monte Carlo simulation. The projections of dynamical phase surface are…

Statistical Mechanics · Physics 2013-01-15 Muktish Acharyya

Within the Onsager theory we study free planar isotropic-nematic interfaces in binary mixtures of hard rods. For sufficiently different particle shapes the bulk phase diagrams of these mixtures exhibit a triple point, where an isotropic (I)…

Soft Condensed Matter · Physics 2007-05-23 Kostya Shundyak , Rene van Roij

We briefly introduce hysteresis in spatially extended systems and the dynamic phase transition observed as the frequency of the oscillating field increases beyond a critical value. Hysteresis and the decay of metastable phases are closely…

Statistical Mechanics · Physics 2007-05-23 P. A. Rikvold , G. Korniss , C. J. White , M. A. Novotny , S. W. Sides

We investigate quantum phase transitions in the extended periodic Anderson model, which includes electron correlations within and between itinerant and localized bands. We calculate zero and finite temperature properties of the system using…

Strongly Correlated Electrons · Physics 2009-11-13 Akihisa Koga , Norio Kawakami , Robert Peters , Thomas Pruschke

Using previous results from boundary conformal field theory and integrability, a phase diagram is derived for the 2 dimensional Ising model at its bulk tri-critical point as a function of boundary magnetic field and boundary spin-coupling…

Statistical Mechanics · Physics 2008-11-26 Ian Affleck

We study the Kondo lattice model which is modified by the Holstein term, involving both the Kondo exchange coupling and the electron-phonon coupling constants, characterized by $J$ and $g$, respectively. The model is solved by employing the…

Strongly Correlated Electrons · Physics 2009-11-13 Reza Nourafkan , Nasser Nafari