Jove
Visualize
Contact Us

Related Experiment Videos

Escape or switching at short times.

G Grinstein1, R H Koch

  • 1IBM Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598, USA.

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

This study extends the Arrhenius theory of thermal switching, revealing that escape probability can peak over time, not just decrease. The peak time is logarithmically related to the standard decay time, offering new insights into metastable state escape dynamics.

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

Power-law and exponential tails in a stochastic priority-based model queue.

Physical review. E, Statistical, nonlinear, and soft matter physics·2008
Same author

50 omega characteristic impedance low-pass metal powder filters.

The Review of scientific instruments·2007
Same author

Biased diffusion and universality in model queues.

Physical review letters·2006
Same author

Relationship between gene expression and observed intensities in DNA microarrays--a modeling study.

Nucleic acids research·2006
Same author

Experimental demonstration of an oscillator stabilized Josephson flux qubit.

Physical review letters·2006
Same author

How white noise generates power-law switching in bacterial flagellar motors.

Physical review letters·2005
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

Area of Science:

  • Physics
  • Physical Chemistry
  • Materials Science

Background:

  • The standard Arrhenius picture describes thermal escape from metastable states as monotonically decreasing over time.
  • This model is crucial for understanding phenomena like magnetic switching and chemical reactions.

Purpose of the Study:

  • To extend the Arrhenius picture to shorter timescales.
  • To derive conditions for non-monotonic escape probability.
  • To investigate the relationship between peak escape time and thermal decay time.

Main Methods:

  • Theoretical derivation of escape probability under general conditions.
  • Analysis of the Arrhenius equation for thermal switching dynamics.
  • Mathematical modeling of escape probability as a function of time.

Main Results:

  • Established conditions for peaked, rather than monotonic, escape probability over time.
  • Derived a relationship where the peak time (tau(P)) diverges logarithmically with the decay time (tau(D)).
  • The findings challenge the monotonic decay assumption in the standard Arrhenius model at shorter timescales.

Conclusions:

  • The Arrhenius picture can be extended to predict peaked escape probabilities.
  • This provides a more nuanced understanding of thermal switching and escape dynamics.
  • The derived relationship offers a new parameter for characterizing metastable state behavior.

Related Experiment Videos