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We study dissipative phase transition near the critical point for a system with two-photon driving and nonlinear dissipation. The proposed mean-field theory, which explicitly takes into account quantum fluctuations, allowed us to describe…

Quantum Physics · Physics 2022-08-02 V. Yu. Mylnikov , S. O. Potashin , G. S. Sokolovskii , N. S. Averkiev

I study the absorbing-state phase transition in the one-dimensional contact process with mobile disorder. In this model the dilution sites, though permanently inactive, diffuse freely, exchanging positions with the other sites, which host a…

Statistical Mechanics · Physics 2015-05-13 Ronald Dickman

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

We study a model initially proposed to describe a mixture of (CO) and (N2) adsorbed on exfoliated graphite. The approach used here is that of mean field theory. The Mean Field equations and the Helmholtz Free Energy are found. Phase…

Condensed Matter · Physics 2007-05-23 R. P. B. Santos

In this paper we propose a simple mean-field "toy" model for the liquid-glass phase transition. This is the system of $N$ point-like particles confined in a finite volume of a $D$-dimensional space interacting via infinite-range oscillating…

Disordered Systems and Neural Networks · Physics 2007-05-23 Victor Dotsenko

We study a contact process with creation at first- and second-neighbor sites and inhibition at first neighbors, in the form of an annihilation rate that increases with the number of occupied first neighbors. Mean-field theory predicts three…

Statistical Mechanics · Physics 2011-07-05 Marcelo Martins de Oliveira , Ronald Dickman

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

We provide an introductory account of a tricritical phase diagram, in the setting of a mean-field random walk model of a polymer density transition, and clarify the nature of the density transition in this context. We consider a…

Mathematical Physics · Physics 2020-11-25 Roland Bauerschmidt , Gordon Slade

We introduce a model for a population on a lattice with diffusion and birth/death according to 2A->3A and A->0 for a particle A. We find that the model displays a phase transition from an active to an absorbing state which is continuous in…

Statistical Mechanics · Physics 2015-06-25 Alastair Windus , Henrik Jeldtoft Jensen

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 the nonequilibrium phase transitions from the absorbing phase to the active phase for the model of disease spreading (Susceptible-Infected-Refractory-Susceptible (SIRS)) on a regular one dimensional lattice. In this model,…

Statistical Mechanics · Physics 2023-08-15 M. Ali Saif

Cluster dynamical mean field and maximum entropy analytical continuation methods are used to obtain theoretical estimates for the many-body density of states, electron self-energy, in-plane and c-axis optical conductivity and the $B_{1g}$…

Strongly Correlated Electrons · Physics 2010-07-15 Nan Lin , Emanuel Gull , Andrew J. Millis

We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding…

Statistical Mechanics · Physics 2009-10-31 Alessandro Vespignani , Ronald Dickman , Miguel A. Munoz , Stefano Zapperi

A characteristic feature of collective and particle-hole excitations in neutron-rich nuclei is that many of them couple to unbound neutron in continuum single-particle orbits. The continuum random phase approximation (cRPA) is a powerful…

Nuclear Theory · Physics 2021-09-15 Teruyuki Saito , Masayuki Matsuo

We investigate the liquid-glass phase transition in a system of point-like particles interacting via a finite-range attractive potential in D-dimensional space. The phase transition is driven by an `entropy crisis' where the available phase…

Disordered Systems and Neural Networks · Physics 2009-11-11 Vik. S. Dotsenko , G. Blatter

Phase transitions to absorbing states are among the simplest examples of critical phenomena out of equilibrium. The characteristic feature of these models is the presence of a fluctuationless configuration which the dynamics cannot leave,…

A fast method is presented for simulating the dielectric-breakdown model using iterated conformal mappings. Numerical results for the dimension and for corrections to scaling are in good agreement with the recent RG prediction of an upper…

Soft Condensed Matter · Physics 2009-11-07 M. B. Hastings

The Dynamical Cluster Approximation (DCA) is used to study non-local corrections to the dynamical mean field phase diagram of the two-dimensional Hubbard model. Regions of antiferromagnetic, d-wave superconducting, pseudo-gapped non-Fermi…

Strongly Correlated Electrons · Physics 2009-10-31 M. Jarrell , Th. Maier , M. H. Hettler , A. N. Tahvildarzadeh

We consider a reaction-diffusion model incorporating the reactions A -> 0, A -> 2A and 2A -> 3A. Depending on the relative rates for sexual and asexual reproduction of the quantity A, the model exhibits either a continuous or first-order…

Statistical Mechanics · Physics 2009-11-13 Alastair L. Windus , Henrik Jeldtoft Jensen

A $(1+1)$ dimensional model of directed percolation is introduced where sites on a tilted square lattice are connected to their neighbours by $N$ channels, operated at both ends by valves which are either open or closed. The spreading fluid…

Statistical Mechanics · Physics 2010-10-12 Urna Basu , Mahashweta Basu , P. K. Mohanty