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We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transition between a regime where the density remains…

统计力学 · 物理学 2009-11-11 T. Bodineau , B. Derrida

We discuss recent work on the static and dynamical properties of the asymmetric exclusion process, generalized to include the effect of disorder. We study in turn: random disorder in the properties of particles; disorder in the spatial…

统计力学 · 物理学 2009-11-11 Mustansir Barma

Systems with absorbing (trapped) states may exhibit a nonequilibrium phase transition from a noise-free inactive phase into an ever-lasting active phase. We briefly review the absorbing critical phenomena and universality classes, and…

统计力学 · 物理学 2009-11-13 Su-Chan Park , Hyunggyu Park

We consider a disordered asymmetric exclusion process in which randomly chosen sites do not conserve particle number. The model is motivated by features of many interacting molecular motors such as RNA polymerases. We solve the steady state…

统计力学 · 物理学 2009-11-10 M. R. Evans , T. Hanney , Y. Kafri

To mimic the complex transport-like collective phenomena in a man-made or natural system, we study an open network junction model of totally asymmetric simple exclusion process with bulk particle attachment and detachment. The stationary…

统计力学 · 物理学 2022-02-23 Ankita Gupta , Arvind Kumar Gupta

The ABC model is a driven diffusive exclusion model, composed of three species of particles that hop on a ring with local asymmetric rates. In the weak asymmetry limit, where the asymmetry vanishes with the length of the system, the model…

统计力学 · 物理学 2011-09-28 Or Cohen , David Mukamel

We introduce a two-state non-conserving driven-diffusive system in one-dimension under a discrete-time updating scheme. We show that the steady-state of the system can be obtained using a matrix product approach. On the other hand, the…

统计力学 · 物理学 2014-03-07 S. R. Masharian , F. H. Jafarpour , A. Aghamohammadi

The three species ABC model of driven particles on a ring is generalized to include vacancies and particle-nonconserving processes. The model exhibits phase separation at high densities. For equal average densities of the three species, it…

统计力学 · 物理学 2015-05-20 A. Lederhendler , O. Cohen , D. Mukamel

We present a general field-theoretic strategy to analyze three connected families of continuous phase transitions which occur in nonequilibrium steady-states. We focus on transitions taking place between an active state and one absorbing…

统计力学 · 物理学 2007-05-23 F. van Wijland

By considering a solvable driven-dissipative quantum model, we demonstrate that continuous second order phase transitions in dissipative systems may occur without an accompanying spontaneous symmetry breaking. As such, the underlying…

量子物理 · 物理学 2018-10-24 Julia Hannukainen , Jonas Larson

A one-dimensional model on a line of the length L is investigated, which involves particle diffusion as well as single particle annihilation. There are also creation and annihilation at the boundaries. The static and dynamical behaviors of…

数学物理 · 物理学 2014-03-17 Mohammad Khorrami , Amir Aghamohammadi

A thermodynamic approach to rapid phase transformations within a diffuse interface in a binary system is developed. Assuming an extended set of independent thermodynamic variables formed by the union of the classic set of slow variables and…

材料科学 · 物理学 2009-11-10 Peter Galenko , David Jou

We quantitatively analyze the dynamics of the quantum phase distribution associated with the reduced density matrix of a system, as the system evolves under the influence of its environment with an energy-preserving quantum nondemolition…

量子物理 · 物理学 2009-11-13 Subhashish Banerjee , Joyee Ghosh , R. Ghosh

We study a non-conserved one-dimensional stochastic process which involves two species of particles $A$ and $B$. The particles diffuse asymmetrically and react in pairs as $A\emptyset\leftrightarrow AA\leftrightarrow BA \leftrightarrow…

统计力学 · 物理学 2013-10-03 Somayeh Zeraati , Farhad H. Jafarpour , Haye Hinrichsen

We study the nonequilibrium steady states in totally asymmetric exclusion processes (TASEP) with open boundary conditions having spatially inhomogeneous hopping rates. Considering smoothly varying hopping rates, we show that the steady…

统计力学 · 物理学 2023-01-03 Atri Goswami , Mainak Chatterjee , Sudip Mukherjee

We analyse biased ensembles of trajectories for diffusive systems. In trajectories biased either by the total activity or the total current, we use fluctuating hydrodynamics to show that these systems exhibit phase transtions into…

统计力学 · 物理学 2015-03-05 Robert L. Jack , Ian R. Thompson , Peter Sollich

The phenomenon of phase transitions in one-dimensional systems is discussed. Equilibrium systems are reviewed and some properties of an energy function which may allow phase transitions and phase ordering in one dimension are identified. We…

统计力学 · 物理学 2015-06-24 M. R. Evans

We present exact solutions for the non-equilibrium steady states of a class of dissipative spinless fermionic systems with arbitrary Hamiltonian pairing terms, global charging energy interactions, and uniform single particle loss on every…

量子物理 · 物理学 2026-05-12 Andrew Lingenfelter , Aashish A. Clerk

We study a one-dimensional totally asymmetric exclusion process with random particle attachments and detachments in the bulk. The resulting dynamics leads to unexpected stationary regimes for large but finite systems. Such regimes are…

统计力学 · 物理学 2007-05-23 A. Parmeggiani , T. Franosch , E. Frey

We study the continuous absorbing-state phase transition in the one-dimensional diffusive epidemic process via mean-field theory and Monte Carlo simulation. In this model, particles of two species (A and B) hop on a lattice and undergo…

统计力学 · 物理学 2009-11-11 Daniel Souza Maia , Ronald Dickman