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

Large deviation function of the partially asymmetric exclusion process.

D S Lee1, D Kim

  • 1Department of Physics, Seoul National University, Seoul 151-742, Korea.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
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

Optimizing typhoid fever case definitions by combining serological tests in a large population study in Hechi City, China.

Epidemiology and infection·2007
Same author

Intra-arterial thrombolysis for acute stroke in patients 80 and older: a comparison of results in patients younger than 80 years.

AJNR. American journal of neuroradiology·2007
Same author

Influence of hepatitis C on renal function after liver transplantation.

Transplantation proceedings·2006
Same author

A comparison of twice-daily exenatide and biphasic insulin aspart in patients with type 2 diabetes who were suboptimally controlled with sulfonylurea and metformin: a non-inferiority study.

Diabetologia·2006
Same author

Hypermethylation of CpG island loci and hypomethylation of LINE-1 and Alu repeats in prostate adenocarcinoma and their relationship to clinicopathological features.

The Journal of pathology·2006
Same author

Endovascular mechanical clot retrieval in a broad ischemic stroke cohort.

AJNR. American journal of neuroradiology·2006
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

The study generalizes the large deviation function for the totally asymmetric exclusion process to the partially asymmetric case. This work provides insights into the scaling behavior and finite-size corrections in these complex systems.

Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics
  • Stochastic Processes

Background:

  • The totally asymmetric exclusion process (TASEP) is a fundamental model in statistical mechanics.
  • Derrida and Lebowitz recently derived a large deviation function for the TASEP.
  • Understanding the behavior of exclusion processes under varying asymmetry is crucial.

Purpose of the Study:

  • To generalize the large deviation function for the totally asymmetric exclusion process to the partially asymmetric exclusion process.
  • To investigate the impact of the asymmetry parameter on the scaling limit.
  • To determine finite-size corrections to universal quantities.

Main Methods:

  • Mathematical derivation and generalization of the large deviation function.

Related Experiment Videos

  • Analysis in the scaling limit.
  • Calculation of leading-order finite-size corrections.

    • Main Results:

    • The asymmetry parameter rescales the scaling variable in a straightforward manner.
    • The study provides the generalized large deviation function for the partially asymmetric exclusion process.
    • Leading-order finite-size corrections to the universal scaling function and cumulant ratio were obtained.

    Conclusions:

    • The generalization successfully extends the understanding of large deviation properties in exclusion processes.
    • The findings offer a more comprehensive picture of TASEP behavior under varying degrees of asymmetry.
    • This work contributes to the theoretical framework for analyzing complex stochastic systems.