Lattice Boltzmann model with hierarchical interactions

Details Lattice Boltzmann model with hierarchical interactions Lattice Boltzmann model with hierarchical interactions

2004-05-11

arxiv.org/abs/cond-mat/0405213v1

Physica A 325, 477 (2003)

Physics

Condensed Matter

Soft Condensed Matter

14 pages, 5 figures

Scientific paper

10.1016/S0378-4371(03)00067-0

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.

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