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We unveil the existence of a non-trivial Berry phase associated to the dynamics of a quantum particle in a one dimensional box with moving walls. It is shown that a suitable choice of boundary conditions has to be made in order to preserve…

Mathematical Physics · Physics 2016-06-10 Paolo Facchi , Giancarlo Garnero , Giuseppe Marmo , Joseph Samuel

We are interested in studying the stationary solutions and phase transitions of aggregation equations with degenerate diffusion of porous medium-type, with exponent $1 < m < \infty$. We first prove the existence of possibly infinitely many…

Analysis of PDEs · Mathematics 2020-07-13 José A. Carrillo , Rishabh S. Gvalani

Driven diffusive systems constitute paradigmatic models of nonequilibrium physics. Among them, a driven lattice gas known as the asymmetric simple exclusion process (ASEP) is the most prominent example for which many intriguing exact…

Statistical Mechanics · Physics 2020-06-24 Dominik Lips , Artem Ryabov , Philipp Maass

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

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

We discuss the two-dimensional motion of a Brownian particle that is confined to a harmonic trap and driven by a shear flow. The surrounding medium induces memory effects modelled by a linear, typically nonreciprocal coupling of the…

Statistical Mechanics · Physics 2024-04-26 Lea Fernandez , Siegfried Hess , Sabine H. L. Klapp

The emergence of particle irreversibility in periodically driven colloidal suspensions has been interpreted as resulting either from a nonequilibrium phase transition to an absorbing state or from the chaotic nature of particle…

Statistical Mechanics · Physics 2015-04-10 Elsen Tjhung , Ludovic Berthier

We investigate transitions between topologically ordered phases in two spatial dimensions induced by the condensation of a bosonic quasiparticle. To this end, we formulate an extension of the theory of symmetry breaking phase transitions…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. A. Bais , J. K. Slingerland

Generic inhomogeneous steady states in an asymmetric exclusion process on a ring with a pair of point bottlenecks are studied. We show that, due to an underlying universal feature, measurements of coarse-grained steady-state densities in…

Statistical Mechanics · Physics 2014-08-15 Niladri Sarkar , Abhik Basu

The superradiant phase transition in the dissipative Dicke lattice model, driven by on-site collective atom-photon interactions and inter-site photon hopping, is a cornerstone of nonequilibrium quantum many-body physics. However, little is…

Quantum Physics · Physics 2025-08-15 Peng-Fei Wei , Yilun Xu , Fengxiao Sun , Qiongyi He , Peter Rabl , Zhihai Wang

One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how…

Quantum Gases · Physics 2013-07-01 Thierry Jolicoeur , Evgeni Burovski , Giuliano Orso

We study a model of two-dimensional interacting monomers which has two symmetric absorbing states and exhibits two kinds of phase transition; one is an order-disorder transition and the other is an absorbing phase transition. Our focus is…

Statistical Mechanics · Physics 2012-05-01 Su-Chan Park

According to recent numerical results from lattice models, the critical exponents of systems with many absorbing states and an order parameter coupled to a non-diffusive conserved field coincide with those of the linear interface depinning…

Condensed Matter · Physics 2016-08-31 Mikko Alava , Miguel A. Munoz

We introduce driven exclusion processes with internal states that serve as generic transport models in various contexts, ranging from molecular or vehicular traffic on parallel lanes to spintronics. The ensuing non-equilibrium steady states…

Statistical Mechanics · Physics 2008-01-31 Tobias Reichenbach , Thomas Franosch , Erwin Frey

Models with a nonequilibrium wetting transition display a transition also in finite systems. This is different from nonequilibrium phase transitions into an absorbing state, where the stationary state is the absorbing one for any value of…

Statistical Mechanics · Physics 2011-03-01 Andre Cardoso Barato

Many non-equilibrium systems display dynamic phase transitions from active to absorbing states, where fluctuations cease entirely. Based on a field theory representation of the master equation, the critical behavior can be analyzed by means…

Statistical Mechanics · Physics 2007-05-23 Uwe C. Tauber

We study the pattern dynamics in a reaction diffusion model of the activator--inhibitor type in the oscillatory regime. We consider finite systems with partially absorptive boundary conditions analizing examples in different geometries in…

Statistical Mechanics · Physics 2007-05-23 S. Bouzat , H. S. Wio

We present a new theoretical approach for the study of the phase diagram of interacting quantum particles: bosons, fermions or spins. In the neighborhood of a phase transition, the expected renormalization group structure is recovered both…

Strongly Correlated Electrons · Physics 2009-10-31 Pietro Gianinetti , Alberto Parola

We propose a mean-field model of intermittent particle transport, where a particle may be in one of two phases: the first is an active (ballistic) phase, when a particle runs with constant velocity in some direction, and the second is a…

Statistical Mechanics · Physics 2017-10-24 Sergey A. Rukolaine

Driven by breakthroughs in experimental and theoretical techniques, the study of non-equilibrium quantum physics is a rapidly expanding field with many exciting new developments. Amongst the manifold ways the topic can be investigated, one…

Quantum Gases · Physics 2020-04-28 Colin Rylands , Natan Andrei