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Condensation in temporally correlated zero-range dynamics.

Ori Hirschberg1, David Mukamel, Gunter M Schütz

  • 1Department of Physics of Complex Systems, Weizmann Institute of Science, 76100 Rehovot, Israel.

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Memory effects in non-Markovian zero-range processes significantly alter condensation. Condensates can form on two sites and drift, impacting statistical physics models.

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Area of Science:

  • Statistical Physics
  • Non-equilibrium Systems
  • Complex Systems Dynamics

Background:

  • Understanding condensation in systems far from equilibrium is crucial for many physical phenomena.
  • Markovian approximations often simplify dynamics but may miss important memory effects.

Purpose of the Study:

  • To investigate the impact of temporal correlations (memory effects) on condensation in a non-Markovian zero-range process (ZRP).
  • To analyze how these memory effects modify condensation scenarios compared to standard Markovian models.

Main Methods:

  • Utilized a non-Markovian zero-range process (ZRP) model to incorporate temporal correlations.
  • Analyzed both mean-field dynamics and one-dimensional nearest-neighbor hopping dynamics.

Main Results:

  • For mean-field dynamics, memory effects alter hopping rates, influencing condensation.
  • In one dimension, the condensate occupies two adjacent sites and exhibits directed drift with finite velocity.

Conclusions:

  • Temporally correlated dynamics significantly modify nonequilibrium condensation phenomena.
  • The findings highlight the importance of non-Markovian effects in understanding complex system behavior and condensation.