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

Renormalization group analysis for an asymmetric simple exclusion process.

Sutapa Mukherji1

  • 1Protein Chemistry and Technology, Central Food Technological Research Institute, Mysore 570 020, Karnataka, India.

Physical Review. E
|April 19, 2017
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

Modelling intracellular transport in crowded environments: effects of motor association to cargos.

The European physical journal. E, Soft matter·2024
Same author

Small RNA-driven feed-forward loop: fine-tuning of protein synthesis through sRNA-mediated crosstalk.

The European physical journal. E, Soft matter·2021
Same author

Global Density Profile For Particle Non-Conserving One Dimensional Transport From Renormalization Group Flows.

Scientific reports·2019
Same author

Small RNA driven feed-forward loop: critical role of sRNA in noise filtering.

Physical biology·2019
Same author

Asymmetric simple exclusion process with position-dependent hopping rates: Phase diagram from boundary-layer analysis.

Physical review. E·2018
Same author

Threshold response and bistability in gene regulation by small noncoding RNA.

The European physical journal. E, Soft matter·2018

We present a new method to calculate particle density profiles in a specific exclusion process. This approach provides a complete solution without needing separate bulk and boundary analyses.

Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics
  • Complex Systems

Background:

  • Totally asymmetric simple exclusion processes (TASEP) are fundamental models in non-equilibrium statistical mechanics.
  • Understanding steady-state properties, like density profiles, is crucial for characterizing system behavior.
  • Traditional methods often require complex asymptotic matching for bulk and boundary regions.

Purpose of the Study:

  • To develop a unified method for determining steady-state density profiles in a TASEP with adsorption and evaporation.
  • To overcome limitations of existing techniques that necessitate separate analyses of bulk and boundary layers.
  • To investigate the scaling behavior of boundary layers near phase transitions.

Main Methods:

  • Application of a perturbative renormalization group (RG) method.

Related Experiment Videos

  • Derivation of globally valid solutions for the density profile.
  • Analysis of system size dependence of boundary layer width.

    • Main Results:

    • The perturbative RG method successfully yields steady-state density profiles.
    • A globally valid solution is obtained, eliminating the need for asymptotic matching.
    • A nontrivial scaling of boundary layer width with system size is identified near specific phase boundaries.

    Conclusions:

    • The perturbative renormalization group offers an efficient and comprehensive approach to study TASEP density profiles.
    • This method simplifies the analysis of systems with adsorption and evaporation.
    • The observed scaling behavior provides insights into critical phenomena in these non-equilibrium systems.