Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Exact joint density-current probability function for the asymmetric exclusion process.

Martin Depken1, Robin Stinchcombe

  • 1Department of Physics, Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom. depken@lorentz.leidenuniv.nl

Physical Review Letters
|August 25, 2004
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

RNA virus polymerase-helicase coupling enables rapid elongation through duplex RNA.

Cell reports·2026
Same author

Tetramerization of the DNA mismatch repair protein MutS enhances daughter strand incision preferentially in the vicinity of replication errors.

The Journal of biological chemistry·2025
Same author

A post-assembly conformational change makes the SARS-CoV-2 polymerase elongation-competent.

Nucleic acids research·2025
Same author

RNA virus polymerase-helicase coupling enables rapid elongation through duplex RNA.

bioRxiv : the preprint server for biology·2025
Same author

A post-assembly conformational change makes the SARS-CoV-2 polymerase elongation-competent.

bioRxiv : the preprint server for biology·2025
Same author

Live-cell imaging reveals the trade-off between target search flexibility and efficiency for Cas9 and Cas12a.

Nucleic acids research·2024
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

This study analyzes the asymmetric simple exclusion process with open boundaries. We found non-Gaussian distributions and discontinuous density fluctuations at phase transitions.

Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics
  • Many-body Systems

Background:

  • The asymmetric simple exclusion process (ASEP) is a fundamental model in non-equilibrium statistical mechanics.
  • Understanding boundary effects and large-scale behavior is crucial for realistic systems.
  • Exact solutions for probability distributions in open systems are often challenging.

Purpose of the Study:

  • To derive the exact joint probability function for occupation numbers and current in an open boundary ASEP.
  • To analyze the system's behavior in the thermodynamic limit.
  • To characterize the nature of density and current fluctuations at a continuous phase transition.

Main Methods:

  • Utilizing the standard operator algebraic approach.

Related Experiment Videos

  • Introducing novel operators that satisfy a modified algebra.
  • Analyzing the system in the thermodynamic limit.

    • Main Results:

    • The exact form of the joint probability function was derived.
    • The resulting distribution in the thermodynamic limit is non-Gaussian.
    • Density fluctuations exhibit a discontinuity at the continuous phase transition.
    • Current fluctuations show continuous behavior at the transition.

    Conclusions:

    • The study provides an exact analytical solution for a complex non-equilibrium system.
    • The findings reveal distinct behaviors of density and current fluctuations.
    • The developed operator algebraic method offers a powerful tool for studying similar systems.