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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Published on: November 11, 2013

Persistent memory of diffusing particles.

N Suciu1, C Vamoş, F A Radu

  • 1Chair for Applied Mathematics I, Friedrich-Alexander University Erlangen-Nuremberg, Erlangen, Germany. suciu@am.uni-erlangen.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

The study decomposes advection-diffusion variance into dispersion and memory terms. Memory terms reveal how initial particle positions influence diffusion, especially in preasymptotic regimes.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Applied Mathematics

Background:

  • Advection-diffusion processes are fundamental in various scientific fields.
  • Understanding variance behavior is crucial for accurate modeling.
  • The role of initial conditions and velocity fields needs further clarification.

Purpose of the Study:

  • To exactly decompose the variance of advection-diffusion processes.
  • To analyze the contribution of dispersion and memory terms.
  • To investigate the influence of initial conditions and velocity fields on diffusion.

Main Methods:

  • Exact decomposition of variance into dispersion and memory terms.
  • Analysis of memory terms for random and deterministic initial conditions.
  • Numerical simulations using a global random walk algorithm.

Main Results:

  • Variance is decomposed into dispersion and memory terms.
  • Memory terms quantify deviations from linear diffusion and dependence on initial positions.
  • Particle memory of initial positions persists for hundreds of dimensionless times.
  • In random velocity fields, particles eventually forget initial positions, leading to self-averaging and normal diffusion.

Conclusions:

  • The decomposition provides a novel framework for advection-diffusion analysis.
  • Initial conditions significantly impact diffusion dynamics, particularly in the short-to-medium term.
  • Long-term behavior in random velocity fields tends towards normal diffusion, independent of initial positions.