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Consistent pseudopotential interactions in lattice Boltzmann models.

M Sbragaglia1, X Shan

  • 1Department of Physics and INFN, University of Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Rome, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 9, 2011
PubMed
Summary
This summary is machine-generated.

We present a method for creating interactions in nonideal lattice fluids. This approach ensures consistency with continuum thermodynamics and reproduces interface models using the Shan-Chen method.

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Area of Science:

  • Thermodynamics
  • Fluid Dynamics
  • Statistical Mechanics

Background:

  • Lattice fluid models are crucial for understanding fluid behavior at mesoscopic scales.
  • Continuum thermodynamics provides a macroscopic framework for thermodynamic properties.
  • Bridging mesoscopic lattice theories and continuum thermodynamics is essential for accurate interface modeling.

Purpose of the Study:

  • To develop a systematic procedure for constructing and deriving interactions in nonideal lattice fluids.
  • To demonstrate the consistency of a mesoscopic diffuse interface theory with continuum thermodynamics.
  • To adapt the Shan-Chen model to reproduce free energy models based on square gradient theory.

Main Methods:

  • Utilizing a mesoscopic approach grounded in exact lattice theories.
  • Applying the Shan-Chen model for nonideal lattice fluids.
  • Adjusting pseudopotentials within the Shan-Chen framework.

Main Results:

  • A systematic procedure for constructing lattice fluid interactions is established.
  • The diffuse interface theory derived from lattice theories is proven consistent with continuum thermodynamics.
  • The Shan-Chen model's pseudopotentials are successfully adjusted to match square gradient interface models.

Conclusions:

  • The developed procedure provides a robust method for modeling nonideal lattice fluids.
  • The consistency with continuum thermodynamics validates the mesoscopic approach for interface phenomena.
  • This work offers a pathway to accurately represent interfacial free energy using lattice-based models.