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e-Article

Metastable and Unstable Dynamics in multi-phase lattice Boltzmann
Document Type
Working Paper
Source
Subject
Condensed Matter - Statistical Mechanics
Nonlinear Sciences - Cellular Automata and Lattice Gases
Physics - Fluid Dynamics
Language
Abstract
We quantitatively characterize the metastability in a multi-phase lattice Boltzmann model. The structure factor of density fluctuations is theoretically obtained and numerically verified to a high precision, for all simulated wave-vectors and reduced temperatures. The static structure factor is found to consistently diverge as the temperature approaches the critical-point or the density approaches the spinodal line at a sub-critical temperature. Theoretically predicted critical exponents are observed in both cases. Finally, the phase separation in the unstable branch follows the same pattern, i.e. the generation of interfaces with different topology, as observed in molecular dynamics simulations. All results can be independently reproduced through the ``idea.deploy" framework https://github.com/lullimat/idea.deploy
Comment: 5 pages, 3 figures, added Supplemental Material in ancillary files