Kinetic interfaces form the basis of a fascinating, interdisciplinary branch of statistical
mechanics. Diverse stochastic growth processes can be unified via an intriguing nonlinear …

The present status of research and understanding regarding the dynamics and the statistical
properties of earthquakes is reviewed, mainly from a statistical physical viewpoint. Emphasis …

The use of fractal concepts in understanding various growth phenomena, such as molecular
beam epitaxy (MBE) or fluid flow in porous media, is increasingly important these days. This …

Introduction; 1. Turbulence and dynamical systems; 2. Phenomenology of turbulence; 3.
Reduced models for hydrodynamic turbulence; 4. Turbulence and coupled map lattices; 5 …

We derive a stochastic nonlinear continuum equation to describe the morphological
evolution of amorphous surfaces eroded by ion bombardment. Starting from Sigmund's …

We derive a stochastic nonlinear equation to describe the evolution and scaling properties
of surfaces eroded by ion bombardment. The coefficients appearing in the equation can be …

When collimated beams of low energy ions are used to bombard materials, the surface often
develops a periodic pattern or “ripple” structure. Different types of patterns are observed to …

The stochastic partial differential equation proposed nearly three decades ago by Kardar,
Parisi and Zhang (KPZ) continues to inspire, intrigue and confound its many admirers. Here …

STROMATOLITES are laminated, accretionary structures, which are commonly regarded to
have formed by the sediment-binding or precipitating activities of ancient microbial mats or …

The dynamic scaling approach is an effective tool for understanding the temporal evolution
of fluctuating interfaces. The surface width w obeys the scaling form w (L, t)= L α ƒ (t/L α β …