Y. Ishimoto, T. Murashima, T. Taniguchi, R. Yamamoto
A family of novel models of liquid on a 2D lattice (2D lattice liquid models)
have been proposed as primitive models of soft-material membrane. As a first
step, we have formulated them as single-component, single-layered, classical
particle systems on a two-dimensional surface with no viscosity. Among the
family of the models, we have constructed two stochastic models on an isotropic
regular lattice and on the rectangular honeycomb lattice of various sizes. In
both cases, the dynamics is governed by the nature of the frustration of the
particle movements. By simulations, we have found the approximate functional
form of the frustration probability, and peculiar anomalous diffusions in their
time-averaged mean square displacements in the flow model. The relations to
other existing statistical models and possible extensions of the models are
also discussed.
View original:
http://arxiv.org/abs/1202.4428
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