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Velocity Gradient Power Functional for Brownian Dynamics.

Daniel de Las Heras1, Matthias Schmidt1

  • 1Theoretische Physik II, Physikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germany.

Physical Review Letters
|January 30, 2018
PubMed
Summary
This summary is machine-generated.

We developed a simple approximation for free energy in many-body systems, enabling the study of non-equilibrium dynamics. This new method accounts for viscous forces beyond current theories.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Computational Physics

Background:

  • Studying non-equilibrium dynamics of many-body systems is crucial for understanding complex phenomena.
  • Existing theories like dynamical density functional theory have limitations in describing these systems accurately.

Purpose of the Study:

  • To present a novel, explicit, and simple approximation for the superadiabatic excess free energy functional.
  • To enable the study of non-equilibrium dynamics in overdamped Brownian many-body systems.

Main Methods:

  • The approximation is derived by treating microscopic stress distribution as a conjugate field.
  • It depends on the local velocity gradient.

Main Results:

  • The derived superadiabatic forces are of a viscous nature and extend beyond dynamical density functional theory.
  • The accuracy of the approximation was validated through comparison with simulation results.

Conclusions:

  • The developed functional provides a powerful and accurate tool for investigating non-equilibrium dynamics.
  • This work offers a new perspective on modeling complex Brownian many-body systems.