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We study a driven many particle system comprising of two identical lanes of finite lengths. On one lane, particles hop diffusively with a bias in a specific direction. On the other lane, particles hop in a specific direction obeying mutual…

Statistical Mechanics · Physics 2015-06-03 Bappa Saha , Sutapa Mukherji

We show how a fixed point based boundary-layer analysis technique can be used to obtain the steady-state particle density profiles of driven exclusion processes on two-lane systems with open boundaries. We have considered two distinct…

Statistical Mechanics · Physics 2015-06-11 Vandana Yadav , Rajesh Singh , Sutapa Mukherji

Boundary-induced phase transitions are one of the surprising phenomena appearing in nonequilibrium systems. These transitions have been found in driven systems, especially the asymmetric simple exclusion process. However, so far no direct…

Statistical Mechanics · Physics 2007-05-23 V. Popkov , L. Santen , A. Schadschneider , G. M. Schutz

We study an open system composed of two parallel totally asymmetric simple exclusion processes with particle attachment and detachment in the bulk. The particles are allowed to change their lane from lane-A to lane-B, but not conversely. We…

Statistical Mechanics · Physics 2015-06-17 Arvind Kumar Gupta , Isha Dhiman

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 study a system composed of two parallel totally asymmetric simple exclusion processes with open boundaries, where the particles move in the two lanes in opposite directions and are allowed to jump to the other lane with rates inversely…

Statistical Mechanics · Physics 2007-08-23 Robert Juhasz

In this paper, we study boundary-induced phase transitions in a particle non-conserving asymmetric simple exclusion process with open boundaries. Using boundary layer analysis, we show that the key signatures of various bulk phase…

Statistical Mechanics · Physics 2009-11-11 Sutapa Mukherji , Vivek Mishra

Driven diffusive systems have provided simple models for non-equilibrium systems with non-trivial structures. Steady state behaviour of these systems with constant boundary conditions have been studied extensively. Comparatively less work…

Statistical Mechanics · Physics 2015-12-09 Ayse Ferhan Yesil , M. Cemal Yalabik

A class of models of driven diffusive systems which is shown to exhibit phase separation in $d=1$ dimensions is introduced. Unlike all previously studied models exhibiting similar phenomena, here the phase separated state is fluctuating in…

Statistical Mechanics · Physics 2009-11-07 Y. Kafri , E. Levine , D. Mukamel , G. M. Schutz , R. D. Willmann

We study the dynamics of shock-tracking probe particles in driven diffusive systems and also in equilibrium systems. In a driven system, they induce a diverging timescale that marks the crossover between a passive scalar regime at early…

Statistical Mechanics · Physics 2007-05-23 Sakuntala Chatterjee , Mustansir Barma

This work is devoted to the development of a novel theoretical approach, named hybrid approach, to handle a localized bottleneck in a symmetrically coupled two-channel totally asymmetric simple exclusion process with Langmuir kinetics. The…

Computational Physics · Physics 2016-02-17 Isha Dhiman , Arvind Kumar Gupta

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

We study the zero-temperature phase transition of a two-dimensional disordered boson Hubbard model. The phase diagram of this model is constructed in terms of the disorder strength and the chemical potential. Via quantum Monte Carlo…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ji-Woo Lee , Min-Chul Cha , Doochul Kim

Using mode coupling theory and dynamical Monte-Carlo simulations we investigate the scaling behaviour of the dynamical structure function of a two-species asymmetric simple exclusion process, consisting of two coupled single-lane asymmetric…

Statistical Mechanics · Physics 2014-10-30 Vladislav Popkov , Johannes Schmidt , Gunter Schütz

An asymmetric exclusion process comprising positive particles, negative particles and vacancies is introduced. The model is defined on a ring and the dynamics does not conserve the number of particles. We solve the steady state exactly and…

Statistical Mechanics · Physics 2009-11-07 M. R. Evans , Y. Kafri , E. Levine , D. Mukamel

The effect of a diffusivity edge is studied in a system of scalar active matter confined by a periodic potential and driven by an externally applied force. We find that this system shows qualitatively distinct stationary regimes depending…

Statistical Mechanics · Physics 2024-02-27 Jonas Berx , Aritra Bose , Ramin Golestanian , Benoît Mahault

Nonequilibrium steady states in driven diffusive systems exhibit many features which are surprising or counterintuitive, given our experience with equilibrium systems. We introduce the prototype model and review its unusual behavior in…

Statistical Mechanics · Physics 2015-06-25 B. Schmittmann , R. K. P. Zia

Boundary driven diffusive systems describe a broad range of transport phenomena. We study large deviations of the density profile in these systems, using numerical and analytical methods. We find that the large deviation may be…

Statistical Mechanics · Physics 2015-10-07 Guy Bunin , Yariv Kafri , Daniel Podolsky

The boundary-induced phase transitions in an asymmetric simple exclusion process with inter-particle repulsion and bulk non-conservation are analyzed through the fixed points of the boundary layers. This system is known to have phases in…

Statistical Mechanics · Physics 2013-05-29 Sutapa Mukherji

The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary driven systems with a constrained integrated current. It…

Statistical Mechanics · Physics 2017-03-29 Ohad Shpielberg , Yaroslav Don , Eric Akkermans
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