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Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
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Diffusion in Deterministic Interacting Lattice Systems.

Marko Medenjak1, Katja Klobas1, Tomaž Prosen1

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Summary
This summary is machine-generated.

This study reveals three distinct transport behaviors—ballistic, diffusive, and insulating—in classical charged particles on a lattice. Analytical and simulation methods confirm these findings and calculate key transport coefficients.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Classical dynamics

Background:

  • Investigating particle transport on lattices is crucial for understanding material properties.
  • Reversible deterministic dynamics offer a fundamental framework for studying emergent phenomena.
  • Hard-core interactions introduce complex many-body effects.

Purpose of the Study:

  • To rigorously analyze the transport phenomena in a classical charged particle system on a lattice.
  • To derive exact expressions for transport coefficients using current time-autocorrelation functions.
  • To validate analytical findings with computational simulations.

Main Methods:

  • Study of reversible deterministic dynamics of classical charged particles.
  • Derivation of exact expressions for the current time-autocorrelation function.
  • Calculation of linear response transport coefficients (diffusion constant, Drude weight).
  • Analysis of long-time charge profiles after inhomogeneous quenches.
  • Corroboration using Monte Carlo simulations.

Main Results:

  • Demonstration of three distinct transport regimes: ballistic, diffusive, and insulating.
  • Exact calculation of the diffusion constant and Drude weight.
  • Observation of a diffusive charge profile consistent with Green-Kubo predictions.
  • Agreement between analytical results and Monte Carlo simulations.

Conclusions:

  • The studied system exhibits rich transport behavior governed by reversible deterministic dynamics.
  • Exact analytical methods provide accurate predictions for transport coefficients.
  • The findings contribute to the fundamental understanding of transport phenomena in interacting particle systems.