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The competition between interactions and dissipative processes in a quantum many-body system can drive phase transitions of different order. Exploiting a combination of cluster methods and quantum trajectories, we show how the systematic…

Statistical Mechanics · Physics 2018-12-19 Jiasen Jin , Alberto Biella , Oscar Viyuela , Cristiano Ciuti , Rosario Fazio , Davide Rossini

We demonstrate particle clustering on macroscopic scales in a coupled nonequilibrium system where two species of particles are advected by a fluctuating landscape and modify the landscape in the process. The phase diagram generated by…

Statistical Mechanics · Physics 2016-05-24 Shauri Chakraborty , Sukla Pal , Sakuntala Chatterjee , Mustansir Barma

Employing a two-species Cahn-Hilliard model with nonreciprocal interactions we show that the interplay of nonreciprocity and conservation laws results in the robust coexistence of uniform stationary and oscillatory phases as well as of…

Pattern Formation and Solitons · Physics 2025-08-27 Daniel Greve , Giorgio Lovato , Tobias Frohoff-Hülsmann , Uwe Thiele

We study the ABC model in the cyclic competition and neutral drift versions, with mutations and migrations introduced into the model. When stochastic phenomena are taken into account, there are three distinct regimes in the model. (i) In…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Margarita Ifti , Birger Bergersen

Equilibrium phase transitions are associated with rearrangements of minima of a (Lagrangian) potential. Treatment of non-equilibrium systems requires doubling of degrees of freedom, which may be often interpreted as a transition from the…

Statistical Mechanics · Physics 2007-05-23 Vlad Elgart , Alex Kamenev

We study nonequilibrium dynamical properties of inhomogeneous systems, in particular at a free surface or at a defect plane. Thereby we consider nonconserved (model-A) dynamics of a system which is prepared in the high-temperature phase and…

Statistical Mechanics · Physics 2009-11-10 Michel Pleimling , Ferenc Igloi

We introduce a new model of aggregation of particles where in addition to diffusion and aggregation upon contact, a single unit of mass can dissociate from a conglomerate. This dissociation move conserves the total mass and leads to a…

Statistical Mechanics · Physics 2008-02-03 Supriya Krishnamurthy , Satya N. Majumdar , Mustansir Barma

A non-isothermal phase field model that captures both displacive and diffusive phase transformations in a unified framework is presented. The model is developed in a formal thermodynamic setting, which provides guidance on admissible…

Materials Science · Physics 2011-12-02 Mirko Maraldi , Garth N. Wells , Luisa Molari

We study a periodic one-dimensional exclusion process composed of a driven and a diffusive part. In a mesoscopic limit where both dynamics compete we identify bulk-driven phase transitions. We employ mean-field theory complemented by…

Statistical Mechanics · Physics 2007-05-23 Hauke Hinsch , Erwin Frey

We consider a zero-range process with two species of interacting particles. The steady state phase diagram of this model shows a variety of condensate phases in which a single site contains a finite fraction of all the particles in the…

Statistical Mechanics · Physics 2018-04-26 Stefan Grosskinsky , Tom Hanney

A one-dimensional reaction-diffusion model consisting of two species of particles and vacancies on a ring is introduced. The number of particles in one species is conserved while in the other species it can fluctuate because of creation and…

Statistical Mechanics · Physics 2009-11-13 F H Jafarpour , B Ghavami

We establish a set of nonequilibrium quantum phase transitions in the Lipkin-Meshkov-Glick model under monochromatic modulation of the inter-particle interaction. We show that the external driving induces a rich phase diagram that…

Quantum Physics · Physics 2013-05-20 G. Engelhardt , V. M. Bastidas , C. Emary , T. Brandes

We study nonequilibrium phase transitions in a mass-aggregation model which allows for diffusion, aggregation on contact, dissociation, adsorption and desorption of unit masses. We analyse two limits explicitly. In the first case mass is…

Statistical Mechanics · Physics 2009-10-31 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

The phase diagram of a non-relativistic fermionic system with imbalanced state populations interacting via a short-range S-wave attractive interaction is analyzed in the mean field approximation. We determine the energetically favored state…

Superconductivity · Physics 2008-11-26 Massimo Mannarelli , Giuseppe Nardulli , Marco Ruggieri

We present studies of the atomic limit of the extended Hubbard model with pair hopping for arbitrary electron density and arbitrary chemical potential. The Hamiltonian consists of (i) the effective on-site interaction $U$ and (ii) the…

Strongly Correlated Electrons · Physics 2014-11-04 Konrad Kapcia

In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant…

We propose and study a model for the equilibrium statistical mechanics of a pressurised semiflexible polymer ring. The Hamiltonian has a term which couples to the algebraic area of the ring and a term which accounts for bending…

Statistical Mechanics · Physics 2009-11-13 Mithun K. Mitra , Gautam I. Menon , R. Rajesh

We study the collective behavior of nonequilibrium systems subject to an external field with a dynamics characterized by the existence of non-interacting states. Aiming at exploring the generality of the results, we consider two types of…

Disordered Systems and Neural Networks · Physics 2011-07-12 J. C. Gonzalez-Avella , M. G. Cosenza , V. M. Eguiluz , M. San Miguel

We introduce a generalized Hamiltonian Mean Field Model (gHMF)-XY model with both linear and quadratic coupling between spins and explicit Hamiltonian dynamics. In addition to the usual paramagnetic and ferromagnetic phases, this model also…

Statistical Mechanics · Physics 2013-05-14 Tarcísio N. Teles , Fernanda Benetti , Renato Pakter , Yan Levin

We studied the nonequilibrium dynamics of a cycling three-state Potts model using simulations and theory. This model can be tuned from thermal-equilibrium to far-from-equilibrium conditions. At low cycling energy, the homogeneous dominant…

Statistical Mechanics · Physics 2024-07-09 Hiroshi Noguchi , Frédéric van Wijland , Jean-Baptiste Fournier