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

Collective diffusion and a random energy landscape

Schulz1, Trimper

  • 1Fachbereich Physik, Martin-Luther-Universitat, Halle D-06099, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
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

Reaction-controlled diffusion

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same author

Enzyme Mechanisms for Polycyclic Triterpene Formation.

Angewandte Chemie (International ed. in English)·2000
Same author

Electron correlations observed through intensity interferometry

Physical review letters·2000
Same author

Enhanced supercurrent density in polycrystalline YBa2Cu3O(7-delta) at 77 K from calcium doping of grain boundaries

Nature·2000
Same author

Stienkemeier, lutz, and schulz reply:

Physical review letters·2000
Same author

New mechanism for single atom manipulation

Physical review letters·2000
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

This study explores collective hopping in stochastic energy landscapes, revealing anomalous diffusion below the critical dimension. Above this dimension, exclusion enhances mobility at high temperatures.

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Quantum Mechanics

Background:

  • Collective hopping is crucial in various physical systems.
  • Stochastic energy landscapes introduce complex dynamics.
  • Understanding diffusion in disordered systems is a key challenge.

Purpose of the Study:

  • Derive an evolution equation for collective hopping under stochastic potentials.
  • Investigate the influence of occupation number and exclusion on diffusion.
  • Analyze the system's behavior below and above the critical dimension.

Main Methods:

  • Master equation in quantum Hamiltonian form.
  • Coupling to a heat bath.
  • Scaling arguments and epsilon-expansion for critical dimension analysis.

Related Experiment Videos

Main Results:

  • Derived distinct evolution equations for arbitrary occupation and exclusion systems.
  • Demonstrated shared universality class and anomalous diffusion below critical dimension.
  • Calculated the dynamical exponent (z) using epsilon-expansion.
  • Observed higher mobility in exclusion systems at high temperatures above critical dimension.

Conclusions:

  • Collective hopping in stochastic landscapes exhibits anomalous diffusion.
  • Exclusion principle significantly impacts mobility in disordered systems.
  • The critical dimension governs the universality class and diffusion behavior.