Lattice Boltzmann model with hierarchical interactions

✍ Scribed by A Lamura; S Succi

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 203 KB
• Volume: 325
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/s0378-4371(03)00067-0

✦ Synopsis

We present a numerical study of the dynamics of a non-ideal uid subject to a densitydependent 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 uid pattern with sharp density contrasts. These disordered conÿgurations contrast with phase-separation scenarios typically observed in binary uids. The present results indicate that frustration can be modelled within the framework of a suitable one-body e ective Boltzmann equation. The lattice implementation of such an e ective 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.