The density and compressibility of silicane and silicoethane

Ramaswamy, Kannan; Rao, G. Gundu

doi:10.1007/bf03035805

Cited by 2 publications

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“…Living systems exhibit a remarkable variety of non-equilibrium steady states. Problems associated with the modelling of such states include the description of the non-equilibrium behaviour of membranes driven by active pumps [1], hydrodynamic approaches to the motion of self-propelled objects [2,3], the theory of pattern formation in a variety of biological contexts [4] and models for intracellular transport processes associated with the motion of molecular motors [5]. This last problem has attracted the attention of statistical physicists in recent years, since the simplest models for such systems have several advantages: they are exactly solvable even in the presence of interactions, easy to generalize, relatively straightforward to simulate and closely related to models studied extensively in the context of traffic flow [5].…”

Section: Introductionmentioning

confidence: 99%

Collective effects in models for interacting molecular motors and motor-microtubule mixtures

Menon¹

2006

Physica A: Statistical Mechanics and its Applications

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Three problems in the statistical mechanics of models for an assembly of molecular motors interacting with cytoskeletal filaments are reviewed. First, a description of the hydrodynamical behaviour of density-density correlations in fluctuating ratchet models for interacting molecular motors is outlined. Numerical evidence indicates that the scaling properties of dynamical behavior in such models belong to the KPZ universality class. Second, the generalization of such models to include boundary injection and removal of motors is provided. In common with known results for the asymmetric exclusion processes, simulations indicate that such models exhibit sharp boundary driven phase transitions in the thermodynamic limit. In the third part of this paper, recent progress towards a continuum description of pattern formation in mixtures of motors and microtubules is described, and a non-equilibrium "phasediagram" for such systems discussed.Email address: menon@imsc.res.in (Gautam I. Menon).

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