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Lattice Boltzmann model with hierarchical interactions

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  • Lamura, A
  • Succi, S

Abstract

We present a numerical study of the dynamics of a non-ideal fluid subject to a density-dependent pseudo-potential characterized by a hierarchy of nested attractive and repulsive interactions. It is shown that above a critical threshold of the interaction strength, the competition between stable and unstable regions results in a short-ranged disordered fluid pattern with sharp density contrasts. These disordered configurations contrast with phase-separation scenarios typically observed in binary fluids. The present results indicate that frustration can be modelled within the framework of a suitable one-body effective Boltzmann equation. The lattice implementation of such an effective Boltzmann equation may be seen as a preliminary step towards the development of complementary/alternative approaches to truly atomistic methods for the computational study of glassy dynamics.

Suggested Citation

  • Lamura, A & Succi, S, 2003. "Lattice Boltzmann model with hierarchical interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 477-484.
    • Handle: RePEc:eee:phsmap:v:325:y:2003:i:3:p:477-484
    DOI: 10.1016/S0378-4371(03)00067-0
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    Cited by:

    1. Bettaibi, Soufiene & Kuznik, Frédéric & Sediki, Ezeddine, 2016. "Hybrid LBM-MRT model coupled with finite difference method for double-diffusive mixed convection in rectangular enclosure with insulated moving lid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 311-326.

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