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

Numerical method for accessing the universal scaling function for a multiparticle discrete time asymmetric exclusion

Nicholas Chia1, Ralf Bundschuh

  • 1Department of Physics, Ohio State University, 191 W. Woodruff Ave., Columbus, Ohio 43210, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
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

A human-in-the-loop explanation framework for morphologically transparent AI predictions from whole-slide images.

NPJ digital medicine·2026
Same author

Monotherapy cancer drug-blind response prediction is limited to intraclass generalization.

PLoS computational biology·2026
Same author

Role of the anti-Shine-Dalgarno sequence of 16S rRNA in Flavobacterium johnsoniae.

Nucleic acids research·2026
Same author

Comparison of Emotional Content in Text Responses From Physicians and AI Chatbots to Patient Health Queries: Cross-Sectional Study.

Journal of medical Internet research·2026
Same author

Localized Induction Heating for Crack Healing of AISI 1020 Steel.

Materials (Basel, Switzerland)·2026
Same author

Benchmarking community drug response prediction models: datasets, models, tools, and metrics for cross-dataset generalization analysis.

Briefings in bioinformatics·2026
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Researchers verified the Derrida-Lebowitz scaling function for the asymmetric exclusion process (ASEP). This new numerical method simplifies studying particle flux and scaling functions in complex systems.

Area of Science:

  • Statistical Mechanics
  • Complex Systems Dynamics
  • Surface Growth Models

Background:

  • The Kardar-Parisi-Zhang (KPZ) equation describes surface growth universality.
  • Derrida and Lebowitz conjectured universality of scaling functions, not just exponents.
  • Previous verification focused on continuous-time, periodic-boundary systems.

Purpose of the Study:

  • To present a novel numerical method for examining particle flux in the asymmetric exclusion process (ASEP).
  • To verify the universality of the Derrida-Lebowitz scaling function (DLSF) in discrete-time ASEP.
  • To provide an accessible alternative to complex cumulant ratio studies.

Main Methods:

  • Developed a numerical method to directly analyze particle flux in discrete-time ASEP.

Related Experiment Videos

  • Applied the method to single-particle and multiple-particle systems.
  • Examined the behavior of the Derrida-Lebowitz scaling function (DLSF) in the large system-size limit.

    • Main Results:

    • The DLSF accurately characterizes the large-system-size limit of discrete-time ASEP, even for small system sizes (N<=22).
    • Confirmed DLSF universality for multiple-particle discrete-time ASEP.
    • The numerical method allows for direct calculation of particle hopping flux.

    Conclusions:

    • The new numerical method simplifies the study of DLSF in ASEP.
    • This approach enhances accessibility for studying complex dynamics, including open-boundary ASEP.
    • The findings support the universality conjecture for scaling functions in the KPZ class.