T Dutta | Searcharxiv

arXiv2003

Condensation and Evaporation of Mutually Repelling Particles :Steady states and limit cycles

We study condensation and evaporation of particles which repel each other, using a simple set of rules on a square lattice. Different results are obtained for a mobile and an immobile surface layer.A two point limit cycle is observed for high temperature and low pressure in both cases. Here the coverage oscillates between a high and a low value without ever reaching a steady state. The results for the immobile case depend in addition on the initial coverage.

cond-mat.soft↗

arXiv2002

Simulation of Hierarchical Viscous Fingering Pattern in Lifting Hele-Shaw Cell

Viscous fingers in the lifting Hele-Shaw cell form a hierarchical pattern due to competition between growing fingers in a converging geometry. If the defending fluid is visco-plastic, a permanent three-dimensional pattern is formed, which is usually approximated as quasi-two-dimensional. We present here a Monte-Carlo simulation which attempts to reproduce the real 3-dimensional pattern in rectangular geometry using a very simple algorithm. We study the finger length distribution, the rate of increase of coverage of the invading fluid, the height profile of the final pattern and observe how these change with characteristics of the fluids.

cond-mat.soft↗