# Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics

@article{HalpinHealy1995KineticRP, title={Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics}, author={Timothy Halpin-Healy and Yicheng Zhang}, journal={Physics Reports}, year={1995}, volume={254}, pages={215-414} }

## 787 Citations

Stochastic Surface Growth

- Mathematics
- 2003

Growth phenomena constitute an important field in nonequilibrium statistical mechanics. Kardar, Parisi, and Zhang (KPZ) in 1986 proposed a continuum theory for local stochastic growth predicting…

Multi-facets of kinetic roughening of interfaces

- PhysicsPhysical Sciences Reviews
- 2018

Abstract In this review, the authors are going to explore the intriguing aspects of kinetic roughening of interfaces. Interface roughness dynamics connected with various physical processes have been…

Growing interfaces uncover universal fluctuations behind scale invariance

- PhysicsScientific reports
- 2011

This work investigates growing interfaces of liquid-crystal turbulence and finds not only universal scaling, but universal distributions of interface positions, which obey the largest-eigenvalue distributions of random matrices and depend on whether the interface is curved or flat, albeit universal in each case.

Origins of scale invariance in growth processes

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- 1997

Abstract This review describes recent progress in the understanding of the emergence of scale invariance in far-from-equilibrium growth. The first section is devoted to ‘solvable’ needle models which…

Statistical physics of growth processes

- Physics
- 1995

The topic of these lectures is the formation of scale invariant structures through far-from-equilibrium growth processes. This class of problems entered into the realm of statistical physics with the…

Macroscopic order from reversible and stochastic lattice growth models

- Physics
- 1999

This thesis advances the understanding of how autonomous microscopic physical processes give rise to macroscopic structure. A unifying theme is the use of physically motivated microscopic models of…

Random interface growth in a random environment: Renormalization group analysis of a simple model

- Mathematics
- 2015

We study the effects of turbulent mixing on the random growth of an interface in the problem of the deposition of a substance on a substrate. The growth is modeled by the well-known…

Universal Behavior of Driven Diffusive Lattice Gases

- Physics
- 2016

This cumulative dissertation is dedicated to the study of universal behavior in one-dimensional driven diffusive systems far from equilibrium. To capture essential aspects of such systems we will…

Analytical Methods and Field Theory for Disordered Systems

- Physics
- 2016

This thesis presents several aspects of the physics of disordered elastic systems and of the analytical methods used for their study.On one hand we will be interested in universal properties of…

An invariance principle for the 1D KPZ equation

- Mathematics
- 2022

A BSTRACT . Consider a discrete one-dimensional random surface whose height at a point grows as a function of the heights at neighboring points plus an independent random noise. Assuming that this…

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