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Interaction-driven real-space condensation.

M R Evans1, T Hanney, Satya N Majumdar

  • 1SUPA and School of Physics, University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ, United Kingdom.

Physical Review Letters
|August 16, 2006
PubMed
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We investigate real-space condensation in mass transport models, revealing a generalized pair-factorized steady state. This condensation arises from novel interactions, forming extended condensates linked to interface binding-unbinding transitions.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Stochastic Processes

Background:

  • Stochastic mass transport models are crucial for understanding particle systems.
  • Standard factorized steady states are well-understood but limited.
  • Real-space condensation phenomena require further theoretical exploration.

Purpose of the Study:

  • To investigate real-space condensation in a broad class of stochastic mass transport models.
  • To generalize the concept of factorized steady states.
  • To analyze the underlying mechanisms and criteria for condensation.

Main Methods:

  • Theoretical analysis of stochastic mass transport models.
  • Derivation of steady-state properties.
  • Numerical simulations to study condensation transitions.

Related Experiment Videos

  • Connection to solid-on-solid interface models.

    • Main Results:

    • Identified a pair-factorized steady state, generalizing standard factorized states.
    • Demonstrated that condensation is driven by specific interactions.
    • Observed the formation of spatially extended condensates.
    • Established a link between condensation and binding-unbinding transitions of interfaces.

    Conclusions:

    • The study generalizes factorized steady states in stochastic models.
    • Novel interactions drive the formation of extended condensates.
    • Condensation criteria are related to interface physics, specifically binding-unbinding transitions.