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Dynamics of a disordered, driven zero-range process in one dimension.

Kavita Jain1, Mustansir Barma

  • 1Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India.

Physical Review Letters
|October 4, 2003
PubMed
Summary
This summary is machine-generated.

We investigated a driven zero range process, revealing a dynamic phase transition in particle condensation. This study characterizes mass fluctuations and condensate growth in a disordered system.

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Area of Science:

  • Statistical Mechanics
  • Many-Body Physics
  • Condensed Matter Theory

Background:

  • Disordered driven systems exhibit complex behaviors, including phase transitions.
  • The zero range process is a fundamental model for studying particle transport and condensation.
  • Understanding condensation in driven systems is crucial for various physical phenomena.

Purpose of the Study:

  • To analyze the steady-state properties of a disordered, driven zero range process.
  • To characterize the dynamical behavior of mass fluctuations and identify phase transitions.
  • To determine the scaling function for condensate growth from a uniform distribution.

Main Methods:

  • Analytical techniques to study the system's dynamics.
  • Numerical simulations to complement analytical findings.
  • Investigation in one dimension to simplify and elucidate key properties.

Main Results:

  • A condensation transition is observed in the steady state with increasing density.
  • A dynamic phase transition is identified in the density-disorder plane.
  • The scaling function governing condensate growth over time was determined.

Conclusions:

  • The disordered, driven zero range process exhibits rich dynamical behavior, including a phase transition.
  • Mass fluctuations play a critical role in the condensation phenomenon.
  • The study provides insights into the formation and growth of condensates in driven disordered systems.