Negative differential mobility in interacting particle systems

Amit Kumar Chatterjee, Urna Basu, and P. K. Mohanty
Phys. Rev. E 97, 052137 – Published 29 May 2018

Abstract

Driven particles in the presence of crowded environment, obstacles, or kinetic constraints often exhibit negative differential mobility (NDM) due to their decreased dynamical activity. Based on the empirical studies of conserved lattice gas model, two species exclusion model and other interacting particle systems we propose a new mechanism for complex many-particle systems where slowing down of certain non-driven degrees of freedom by the external field can give rise to NDM. To prove that the slowing down of the non-driven degrees is indeed the underlying cause, we consider several driven diffusive systems including two species exclusion models, misanthrope process, and show from the exact steady state results that NDM indeed appears when some non-driven modes are slowed down deliberately. For clarity, we also provide a simple pedagogical example of two interacting random walkers on a ring which conforms to the proposed scenario.

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  • Received 7 December 2017
  • Revised 29 March 2018

DOI:https://doi.org/10.1103/PhysRevE.97.052137

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Amit Kumar Chatterjee1, Urna Basu2, and P. K. Mohanty1

  • 1CMP Division, Saha Institute of Nuclear Physics, HBNI, 1/AF Bidhan Nagar, Kolkata 700064, India
  • 2LPTMS, CNRS, Universitè Paris-Sud, Université Paris-Saclay, 91405 Orsay, France

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Issue

Vol. 97, Iss. 5 — May 2018

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