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

Metastability for Markov processes with detailed balance.

Hernán Larralde1, François Leyvraz

  • 1Centro de Ciencias Físicas, UNAM, Apartado postal 48-3, CP 62251 Cuernavaca, Morelos, Mexico.

Physical Review Letters
|May 21, 2005
PubMed
Summary

We define metastable states in Markov processes. A key condition, where the system

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

Electronic transport in antiaromatic molecules.

Physical chemistry chemical physics : PCCP·2026
Same author

From anomalous diffusion in polygons to a transport locking relation.

Physical review. E·2025
Same author

Exact extreme, order, and sum statistics in a class of strongly correlated systems.

Physical review. E·2024
Same author

Extreme Statistics and Spacing Distribution in a Brownian Gas Correlated by Resetting.

Physical review letters·2023
Same author

Modeling the role of police corruption in the reduction of organized crime: Mexico as a case study.

Scientific reports·2022
Same author

First-passage probabilities and mean number of sites visited by a persistent random walker in one- and two-dimensional lattices.

Physical review. E·2021

Area of Science:

  • Statistical mechanics
  • Computational chemistry
  • Chemical kinetics

Background:

  • Metastable states are crucial for understanding complex systems, particularly in chemical reactions and molecular dynamics.
  • Existing definitions often lack applicability to general Markov processes or clear physical interpretation.

Purpose of the Study:

  • To introduce a novel, broadly applicable definition for metastable states in finite state Markov processes.
  • To identify a distinguishing condition for metastable states.
  • To demonstrate desirable properties of the new definition, aligning with established approaches.

Main Methods:

  • Development of a mathematical definition for metastable states.
  • Analysis of Markov processes satisfying detailed balance.
  • Identification of a specific condition differentiating metastable states from other slow decay modes.

Main Results:

  • A precise definition for metastable states is established.
  • A crucial condition is identified, distinguishing true metastable states.
  • The proposed definition exhibits properties consistent with the restricted ensemble approach.

Conclusions:

  • The new definition provides a robust framework for identifying metastable states in diverse systems.
  • The identified condition offers physical insight into the nature of metastability.
  • This work facilitates more accurate modeling and analysis of complex dynamic processes.

Related Experiment Videos