The Kardar–Parisi–Zhang equation and universality class

I Corwin - Random matrices: Theory and applications, 2012 - World Scientific
Brownian motion is a continuum scaling limit for a wide class of random processes, and
there has been great success in develo** a theory for its properties (such as distribution …

Bacterial growth: a statistical physicist's guide

RJ Allen, B Waclaw - Reports on Progress in Physics, 2018 - iopscience.iop.org
Bacterial growth presents many beautiful phenomena that pose new theoretical challenges
to statistical physicists, and are also amenable to laboratory experimentation. This review …

The physics of paper

M Alava, K Niskanen - Reports on progress in physics, 2006 - iopscience.iop.org
Paper is a material known to everybody. It has a network structure consisting of wood fibres
that can be mimicked by cooking a portion of spaghetti and pouring it on a plate, to form a …

A KPZ cocktail-shaken, not stirred... toasting 30 years of kinetically roughened surfaces

T Halpin-Healy, KA Takeuchi - Journal of Statistical Physics, 2015 - Springer
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 …

An appetizer to modern developments on the Kardar–Parisi–Zhang universality class

KA Takeuchi - Physica A: Statistical Mechanics and its Applications, 2018 - Elsevier
Abstract The Kardar–Parisi–Zhang (KPZ) universality class describes a broad range of non-
equilibrium fluctuations, including those of growing interfaces, directed polymers and …

Universal fluctuations of growing interfaces: evidence in turbulent liquid crystals

KA Takeuchi, M Sano - Physical review letters, 2010 - APS
We investigate growing interfaces of topological-defect turbulence in the electroconvection
of nematic liquid crystals. The interfaces exhibit self-affine roughening characterized by both …

Growing interfaces uncover universal fluctuations behind scale invariance

KA Takeuchi, M Sano, T Sasamoto, H Spohn - Scientific reports, 2011 - nature.com
Stochastic motion of a point–known as Brownian motion–has many successful applications
in science, thanks to its scale invariance and consequent universal features such as …

Dynamic transitions from smooth to rough to twinning in dislocation motion

J Marian, W Cai, VV Bulatov - Nature materials, 2004 - nature.com
The motion of dislocations in response to stress dictates the mechanical behaviour of
materials. However, it is not yet possible to directly observe dislocation motion …

A pedestrian's view on interacting particle systems, KPZ universality and random matrices

T Kriecherbauer, J Krug - Journal of Physics A: Mathematical and …, 2010 - iopscience.iop.org
These notes are based on lectures delivered by the authors at a Langeoog seminar of
SFB/TR12 Symmetries and Universality in Mesoscopic Systems to a mixed audience of …

Effects of Particle Shape on Growth Dynamics at Edges of Evaporating<? format?> Drops of Colloidal Suspensions

PJ Yunker, MA Lohr, T Still, A Borodin, DJ Durian… - Physical review …, 2013 - APS
We study the influence of particle shape on growth processes at the edges of evaporating
drops. Aqueous suspensions of colloidal particles evaporate on glass slides, and convective …