Depinning in a random medium
نویسندگان
چکیده
منابع مشابه
Depinning in a Random Medium
We develop a renormalized continuum field theory for a directed polymer interacting with a random medium and a single extended defect. The renormalization group is based on the operator algebra of the pinning potential; it has novel features due to the breakdown of hyperscaling in a random system. There is a second-order transition between a localized and a delocalized phase of the polymer; we ...
متن کاملDriven Interface Depinning in a Disordered Medium
The dynamics of a driven interface in a medium with random pinning forces is analyzed. The interface undergoes a depinning transition where the order parameter is the interface velocity v, which increases as v ∼ (F − Fc) for driving forces F close to its threshold value Fc. We consider a Langevin-type equation which is expected to be valid close to the depinning transition of an interface in a ...
متن کاملThermal rounding exponent of the depinning transition of an elastic string in a random medium.
We study numerically thermal effects at the depinning transition of an elastic string driven in a two-dimensional uncorrelated disorder potential. The velocity of the string exactly at the sample critical force is shown to behave as V~T(ψ), with ψ the thermal rounding exponent. We show that the computed value of the thermal rounding exponent, ψ=0.15, is robust and accounts for the different sca...
متن کاملDepinning of a Polymer in a Multi-interface Medium
In this paper we consider a model which describes a polymer chain interacting with an infinity of equi-spaced linear interfaces. The distance between two consecutive interfaces is denoted by T = TN and is allowed to grow with the size N of the polymer. When the polymer receives a positive reward for touching the interfaces, its asymptotic behavior has been derived in [3], showing that a transit...
متن کاملInterface depinning in a disordered medium - numerical results
We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. The critical exponents characterizing the depinning transition are determined numerically in 1+1 and 2+1 dimensions. Our findings are compared with recent numerical and analytical results for a Langevin equation with quenched noise, which is expected to be in the same universality class.
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1995
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/28/23/009