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Spot Variation Fluorescence Correlation Spectroscopy for Analysis of Molecular Diffusion at the Plasma Membrane of Living Cells
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Diffusion on a rugged energy landscape with spatial correlations.

Saikat Banerjee1, Rajib Biswas1, Kazuhiko Seki2

  • 1Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore - 560012, India.

The Journal of Chemical Physics
|October 3, 2014
PubMed
Summary
This summary is machine-generated.

We found that standard models overestimate particle diffusion in rugged landscapes. Our new model accounts for "three-site traps," improving accuracy for complex energy landscapes relevant to various scientific fields.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Computational Physics

Background:

  • Rugged energy landscapes are crucial in astrophysics and protein folding.
  • Understanding particle diffusion in these landscapes is key.

Purpose of the Study:

  • Investigate diffusion coefficient (D) dependence on landscape randomness width (ɛ).
  • Analyze the impact of spatial correlations and
  • three-site traps
  • (TST) on diffusion.

Main Methods:

  • Simulations of Brownian particle diffusion.
  • Theoretical analysis using Rosenfeld diffusion-entropy scaling.
  • Mean first passage time formalism to derive effective diffusion coefficient.
  • Construction of continuous Gaussian fields to study spatial correlation.

Main Results:

  • Zwanzig's diffusion expression is reproduced by Rosenfeld scaling.
  • Simulations show Zwanzig's expression overestimates D in uncorrelated landscapes due to TST.
  • A new general expression for effective diffusion coefficient in the presence of TST was derived.
  • This new expression quantitatively matches simulation results.

Conclusions:

  • Three-site traps significantly impact diffusion in rugged landscapes.
  • The derived formula accurately predicts diffusion, reducing to Zwanzig's form only with infinite spatial correlation.
  • TSTs at high ruggedness can cause apparent ergodicity breakdown, similar to glassy liquids.