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Accueil du site > Séminaires > Séminaires 2011 > The zigzag dynamics model : a two-dimensional generalization of TASEP

mardi 25 janvier — 14:00

The zigzag dynamics model : a two-dimensional generalization of TASEP

Mikhail Tamm

par Pierre Pujol - 25 janvier 2011

I will start with the presentation of a novel discrete growth model in 2+1 dimensions, and showing that it can be defined in three equivalent ways :

i)as a directed motion of a set of non-intersecting directed polymers on a plane,

ii) as a set of TASEP layers interacting in some particular way, and

iii) as a growing heap over 2D substrate with a restricted minimal local height gradient.

Moreover, I discuss the coarse-grained behavior of this model and show that it is described by the anisotropic two-dimensional KPZ equation, the coefficients of different terms in this hydrodynamic equation can be derived from the steady state flow—density curve, the so called `fundamental’ diagram. I will also present the numerical results for the characteristics of the steady state in the model with free boundary conditions, and make a based on this numerics on the analytical form of the flow—density curve.