Search research articles

Search research articles

Related Experiment Videos

Hopping diffusion of two coupled particles in the random trap model.

R Descas¹, K Mussawisade

¹Theoretische Polymerphysik, Universität Freiburg, Hermann-Herder Strasse 3,q, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 7, 2003

Summary

We mapped two-particle hopping dynamics to single-particle dynamics to calculate diffusion coefficients in a random trap model. A critical temperature was found, below which subdiffusive behavior emerges, twice as high as in the single-particle case.

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

Dynamics of polymers in a particle-based mesoscopic solvent.

The Journal of chemical physics·2005

Same author

Dynamic regimes of fluids simulated by multiparticle-collision dynamics.

Physical review. E, Statistical, nonlinear, and soft matter physics·2005

See all related articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Area of Science:

Physics
Statistical Mechanics
Condensed Matter Physics

Background:

The random trap model describes particle diffusion on disordered media.
Understanding multi-particle dynamics is crucial for complex systems.

Purpose of the Study:

To exactly map the hopping dynamics of two strongly connected particles to single-particle dynamics.
To calculate the exact asymptotic diffusion coefficient for two connected particles in the random trap model.
To investigate the influence of site energies on diffusion and identify critical phenomena.

Main Methods:

Exact mapping of two-particle dynamics to single-particle dynamics.
Calculation of the asymptotic diffusion coefficient for a linear chain.
Analysis of diffusion with exponentially distributed site energies.

Related Experiment Videos

Main Results:

The hopping dynamics of two strongly connected particles can be precisely reduced to single-particle dynamics.
The exact asymptotic diffusion coefficient for two connected particles was determined.
A critical temperature was identified, above which normal diffusion occurs and below which subdiffusive behavior is observed.
This critical temperature is double that found for single-particle diffusion.

Conclusions:

The study provides an exact analytical solution for two-particle diffusion in the random trap model.
The findings reveal a distinct critical temperature for subdiffusion in the two-particle system compared to the single-particle case.
This work offers insights into collective particle behavior and phase transitions in disordered systems.