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Biomedical subjects

JR Banavar

Publications and source records attributed to JR Banavar.

At least 19 recordsLinked to original sources

Molecular simulations of dewetting

We have studied the breakup and subsequent fluid flow in very thin films of partially wetting liquid on solid substrates, using molecular dynamics simulations. The liquid is made of short chain molecules interacting with Lennard-Jones interactions, and the solid is modeled as a clean crystal lattice whose atoms have thermal oscillations. Films below a critical thickness are found to exhibit a spontaneous spinodal-like instability leading to dry patches, as predicted theoretically and observed in some experiments. Liquid withdrawing from a dry patch collects in a moving rim whose fluid dynamics is only partially in agreement with earlier predictions.

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Scaling behavior in a nonlocal and nonlinear diffusion equation

We present the results of analytical studies of a one-dimensional nonlocal and nonlinear diffusion equation describing nonequilibrium processes ranging from aggregation phenomena to the cooperation of individuals. On tuning the initial conditions, a dynamical transition with a universal scaling behavior is observed between two different asymptotic (in time) solutions. The scaling behavior at the transition is also obtained in a self-organized manner, independent of the initial conditions, on temporally evolving the diffusion equation subjected to a mirror symmetry transformation.

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Universality Classes of Optimal Channel Networks

Energy minimization of both homogeneous and heterogeneous river networks shows that, over a range of parameter values, there are only three distinct universality classes. The exponents for all three classes of behavior are calculated.

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