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The phase diagram of a system of monodispersed hard rectangles of size $m\times m k$ on a square lattice is numerically determined for $m=2,3$ and aspect ratio $k= 1,2,\ldots, 7$. We show the existence of a disordered phase, a nematic phase…

Statistical Mechanics · Physics 2014-05-19 Joyjit Kundu , R. Rajesh

Phase transitions of systems confined in long cylindrical pores (capillary condensation, wetting, crystallization, etc.) are intrinsically not sharply defined but rounded. The finite size of the cross section causes destruction of long…

Statistical Mechanics · Physics 2015-05-19 Dorothea Wilms , Alexander Winkler , Peter Virnau , Kurt Binder

The phase transition patterns displayed by a model of two coupled complex scalar fields are studied at finite temperature and chemical potential. Possible phenomena like symmetry persistence and inverse symmetry breaking at high…

High Energy Physics - Phenomenology · Physics 2023-02-24 Manuella C. Silva , Rudnei O. Ramos , Ricardo L. S. Farias

Showing that the location of the zeros of the partition function can be used to study phase transitions, Yang and Lee initiated an ambitious and very fruitful approach. We give an overview of the results obtained using this approach. After…

Statistical Mechanics · Physics 2009-11-11 Ioana Bena , Michel Droz , Adam Lipowski

Binary mixtures prepared in an homogeneous phase and quenched into a two-phase region phase-separate via a coarsening process whereby domains of the two phases grow in time. With a numerical study of a spin-exchange model we show that this…

Statistical Mechanics · Physics 2016-11-28 Alessandro Tartaglia , Leticia F. Cugliandolo , Marco Picco

We consider quenches in non-conserved two-dimensional XY systems between any two temperatures below the Kosterlitz-Thouless transition. The evolving systems are defect free at coarse-grained scales, and can be exactly treated. Correlations…

Condensed Matter · Physics 2009-10-22 A. D. Rutenberg , A. J. Bray

A full particle simulation study is carried out on a perpendicular collisionless shock with a relatively low Alfven Mach number (M_A=5). In the present study, we have performed a two-dimensional (2D) electromagnetic full particle simulation…

Plasma Physics · Physics 2011-04-04 Takayuki Umeda , Masahiro Yamao , Ryo Yamazaki

We analyze and simulate a two dimensional Brownian multi-type particle system with death and branching (birth) depending on the position of particles of different types. The system is confined in the two dimensional box, whose boundaries…

Condensed Matter · Physics 2009-10-28 K. Burdzy , Robert Holyst , D. Ingerman , P. March

In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a second-order, continuous phase transition and a…

Statistical Mechanics · Physics 2007-05-23 R. S. Ellis , P. Otto , H. Touchette

We analyse the motion of a system of particles subjected a random force fluctuating in both space and time, and experiencing viscous damping. When the damping exceeds a certain threshold, the system undergoes a phase transition: the…

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

Partition function zeros provide alternative approach to study phase structure of finite density QCD. The structure of the Lee-Yang edge singularities associated with the zeros in the complex chemical potential plane has a strong influence…

High Energy Physics - Lattice · Physics 2014-09-18 Shinji Ejiri , Yasuhiko Shinno , Hiroshi Yoneyama

The pressure-temperature phase diagram of a one-component system, with particles interacting through a spherically symmetric pair potential in two dimensions is studied. The interaction consists of a hard core plus an additional repulsion…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla

We investigate the phase diagram of a three-component system of particles on a one-dimensional filled lattice, or equivalently of a one-dimensional three-state Potts model, with reflection asymmetric mean field interactions. The three types…

Statistical Mechanics · Physics 2014-05-06 John Barton , Joel L. Lebowitz , Eugene R. Speer

In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a second-order, continuous phase transition and a…

Probability · Mathematics 2007-05-23 Richard S. Ellis , Peter T. Otto , Hugo Touchette

We study the phase transitions in a one dimensional Bose-Einstein condensate on a ring whose atomic scattering length is modulated periodically along the ring. By using a modified Bogoliubov method to treat such a nonlinear lattice in the…

Quantum Gases · Physics 2015-06-05 Zheng-Wei Zhou , Shao-Liang Zhang , Xiang-Fa Zhou , Guang-Can Guo , Xingxiang Zhou , Han Pu

A one dimensional stochastic exclusion process with two species of particles, $+$ and $-$, is studied where density of each species can fluctuate but the total particle density is conserved. From the exact stationary state weights we show…

Statistical Mechanics · Physics 2017-01-10 Urna Basu

At the Yang-Lee edge singularity, finite-size scaling behavior is used to measure the low-lying excitation spectrum of the Ising quantum spin chain for free boundary conditions. The measured spectrum is used to identify the CFT that…

Statistical Mechanics · Physics 2011-05-16 Smain Balaska , John F. McCabe , Tomasz Wydro

We present a study of exclusion process on a peculiar topology of network with two intersected lanes, competing for the particles in a reservoir with finite capacity. To provide a theoretical ground for our findings, we exploit mean-field…

Statistical Mechanics · Physics 2021-08-04 Akriti Jindal , Arvind Kumar Gupta

The Zero-Range Process, in which particles hop between sites on a lattice under conserving dynamics, is a prototypical model for studying real-space condensation. Within this model the system is critical only at the transition point. Here…

Statistical Mechanics · Physics 2009-11-13 A. G. Angel , M. R. Evans , E. Levine , D. Mukamel

In the ordered phase of the 3D Ising model, minority spin clusters are surrounded by a boundary of dual plaquettes. As the temperature is raised, these spin clusters become more numerous, and it is found that eventually their boundaries…

Statistical Mechanics · Physics 2023-05-03 Michael Grady