NDLI: Nonequilibrium steady states in a closed inhomogeneous asymmetric exclusion process with generic particle nonconservation.

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Year: 2017 Volume: 95

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Dimensional reduction in Bose-Einstein condensed clouds of atoms confined in tight potentials of any geometry and any interaction strength.

Large deviations in Taylor dispersion.

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Reynolds number effects on the single-mode Richtmyer-Meshkov instability.

Universal time-dependent dispersion properties for diffusion in a one-dimensional critically tilted potential

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Nonequilibrium steady states in a closed inhomogeneous asymmetric exclusion process with generic particle nonconservation.

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Nonequilibrium steady states in a closed inhomogeneous asymmetric exclusion process with generic particle nonconservation.

Content Provider	World Health Organization (WHO)-Global Index Medicus
Author	Daga, Bijoy Mondal, Souvik Chandra, Anjan Kumar Banerjee, Tirthankar Basu, Abhik
Description	Country affiliation: India Author Affiliation: Daga B ( Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Calcutta 700064, India.); Mondal S ( Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Calcutta 700064, India.); Chandra AK ( Department of Physics, Malda College, Malda, West Bengal 732101, India.); Banerjee T ( Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Calcutta 700064, India.); Basu A ( Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Calcutta 700064, India.)
Abstract	We study the totally asymmetric exclusion process (TASEP) on a nonuniform one-dimensional ring consisting of two segments having unequal hopping rates, or defects. We allow weak particle nonconservation via Langmuir kinetics (LK), which are parametrized by generic unequal attachment and detachment rates. For an extended defect, in the thermodynamic limit the system generically displays inhomogeneous density profiles in the steady state-the faster segment is either in a phase with spatially varying density having no density discontinuity, or a phase with a discontinuous density changes. Nonequilibrium phase transitions between the above phases are controlled by the inhomogeneity and LK. The slower segment displays only macroscopically uniform bulk density profiles in the steady states, reminiscent of the maximal current phase of TASEP but with a bulk density generally different from half. With a point defect, there are spatially uniform low- and high-density phases as well, in addition to the inhomogeneous density profiles observed for an extended defect. In all the cases, it is argued that the mean particle density in the steady state is controlled only by the ratio of the LK attachment and detachment rates.
File Format	HTM / HTML
ISSN	24700045
e-ISSN	24700053
Journal	Physical Review E
Issue Number	1-1
Volume Number	95
Language	English
Publisher	American Physical Society
Publisher Date	2017-01-01
Publisher Place	United States
Access Restriction	Open
Subject Keyword	Statistical and Nonlinear Physics many-body systems Condensed Matter Physics
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistical and Nonlinear Physics Condensed Matter Physics

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