ar X iv : c on d - m at / 9 40 90 02 v 1 1 S ep 1 99 4 Driven Depinning in Anisotropic Media

نویسندگان

  • Mehran Kardar
  • Deepak Dhar
چکیده

We show that the critical behavior of a driven interface, depinned from quenched random impurities, depends on the isotropy of the medium. In anisotropic media the interface is pinned by a bounding (conducting) surface characteristic of a model of mixed diodes and resistors. Different universality classes describe depinning along a hard and a generic direction. The exponents in the latter (tilted) case are highly anisotropic, and obtained exactly by a mapping to growing surfaces. Various scaling relations are proposed in the former case which explain a number of recent numerical observations.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : c on d - m at / 9 40 90 38 v 1 9 S ep 1 99 4 Enhancement of Persistent Currents by the Coulomb Interaction

The persistent current in three-dimensional mesoscopic rings is investigated numerically. The model is tight-binding one with random site-energies and interaction between electrons. The Hartree-Fock approximation is adopted for the interaction between electrons, and models with up to 3 × 4 × 40 sites are investigated. It is shown that the long-range Coulomb interaction enhances the persistent c...

متن کامل

ar X iv : c on d - m at / 9 90 90 44 v 1 3 S ep 1 99 9 Systematic low temperature expansion in Ginzburg - Landau model

Consistent perturbation theory for thermodynamical quantities in strongly type II superconductors in magnetic field at low temperatures is developed. It is complementary to the existing expansion valid at high temperatures. Magnetization and specific heat are calculated to two loop order and compare well with existing Monte Carlo simulations, other theories and experiments. Typeset using REVTEX 1

متن کامل

ar X iv : c on d - m at / 9 60 31 20 v 1 1 6 M ar 1 99 6 Transport in Sand Piles , Interface Depinning , and Earthquake Models

Recent numerical results for a model describing dispersive transport in rice piles are explained by mapping the model to the depinning transition of an interface that is dragged at one end through a random medium. The average velocity of transport vanishes with system size L as < v >∼ L2−D ∼ L−0.23, and the avalanche size distribution exponent τ = 2 − 1/D ≃ 1.55, where D ≃ 2.23 from interface d...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008