Fluctuations and correlations in sandpiles and interfaces with boundary pinning.

نویسندگان

  • Mikko J Alava
  • Amit K Chattopadhyay
چکیده

Interfaces are studied in an inhomogeneous critical state where boundary pinning is compensated with a ramped force. Sandpiles driven off the self-organized critical point provide an example of this ensemble in the Edwards-Wilkinson (EW) model of kinetic roughening. A crossover from quenched to thermal noise violates spatial and temporal translational invariances. The bulk temporal correlation functions have the effective exponents beta(1D) approximately 0.88+/-0.03 and beta(2D) approximately 0.52+/-0.05, while at the boundaries beta(b,1D/2D) approximately 0.47+/-0.05. The bulk beta(1D) is shown to be reproduced in a randomly kicked thermal EW model.

برای دانلود 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

Anisotropic scaling in depinning of a flux line.

We study the depinning of a flux line by analytical and numerical methods applied to a phenomenological equation of motion. Transverse fluctuations do not influence the critical behavior of the longitudinal component, justifying “planar approximations”. In an isotropic medium, longitudinal fluctuations have a roughness exponent ζ‖ = 1, and relax with a dynamic exponent z‖ ≈ 4/3; transverse fluc...

متن کامل

Pinning of dynamic spin-density-wave fluctuations in cuprate superconductors

We present a theory of the pinning of dynamic spin-density-wave ~SDW! fluctuations in a d-wave superconductor by local imperfections that preserve spin-rotation invariance, such as impurities or vortex cores. The pinning leads to static spatial modulations in spin-singlet observables, while the SDW correlations remain dynamic: these are the ‘‘Friedel oscillations’’ of a spin-gap antiferromagnet...

متن کامل

Pinning of dynamic spin density wave fluctuations in the cuprate superconductors

We present a theory of the pinning of dynamic spin density wave (SDW) fluctuations in a d-wave superconductor by local imperfections which preserve spin-rotation invariance, such as impurities or vortex cores. The pinning leads to static spatial modulations in spin-singlet observables, while the SDW correlations remain dynamic: these are the ‘Friedel oscillations’ of a spin-gap antiferromagnet....

متن کامل

Pinning size effects in critical currents of superconducting films

The thickness dependence of the critical current density Jc(d) in films due to the two-dimensional–three-dimensional (2D–3D) pinning crossover at low magnetic fields is addressed, taking into account the spatial correlation of pinning centres, the combined effect of bulk and surface pinning, and the effect of thermal fluctuations. The whole Jc(d) curve for both the 3D and 2D pinning regimes, an...

متن کامل

Laplacian Growth, Sandpiles and Scaling Limits

Laplacian growth is the study of interfaces that move in proportion to harmonic measure. Physically, it arises in fluid flow and electrical problems involving a moving boundary. We survey progress over the last decade on discrete models of (internal) Laplacian growth, including the abelian sandpile, internal DLA, rotor aggregation, and the scaling limits of these models on the lattice Z as the ...

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

برای دانلود 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

عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 69 1 Pt 2  شماره 

صفحات  -

تاریخ انتشار 2004