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Multispeckle x-ray photon correlation spectroscopy was employed to characterize the slow dynamics of a colloidal suspension formed by highly-charged, nanometer-sized disks. At scattering wave vectors $q$ corresponding to interparticle…

We consider the multi-point equal time height fluctuations of a one-dimensional polynuclear growth model in a half space. For special values of the nucleation rate at the origin, the multi-layer version of the model is reduced to a…

Statistical Mechanics · Physics 2007-05-23 T. Sasamoto , T. Imamura

We investigate solid-on-solid models that belong to the Kardar-Parisi-Zhang (KPZ) universality class on substrates that expand laterally at a constant rate by duplication of columns. Despite the null global curvature, we show that all…

Statistical Mechanics · Physics 2014-12-23 I. S. S. Carrasco , K. A. Takeuchi , S. C. Ferreira , T. J. Oliveira

We show that a scaling approach successfully characterizes clustering and intermittency in space and time, in systems of noninteracting particles driven by fluctuating surfaces. We study both the steady state and the approach to it, for…

Soft Condensed Matter · Physics 2019-01-15 Tapas Singha , Mustansir Barma

We study the growth of small-scale inhomogeneities of the density of particles floating in weakly nonlinear, small-amplitude, surface waves. Despite the amplitude smallness, the accumulated effect of the long-time evolution may produce…

Chaotic Dynamics · Physics 2012-10-23 M. Vucelja , I. Fouxon

We introduce an approach for calculating non-universal properties of rough surfaces. The technique uses concepts of distinct surface-configuration classes, defined by the surface growth rule. The key idea is a mapping between discrete…

Statistical Mechanics · Physics 2007-05-23 A. Kolakowska , M. A. Novotny

We show from numerical simulations that a limited mobility solid-on-solid model of kinetically rough surface growth exhibits extended self-similarity analogous to that found in fluid turbulence. The range over which scale-independent…

Statistical Mechanics · Physics 2009-10-30 Arindam Kundagrami , Chandan Dasgupta , P. Punyindu , S. Das Sarma

The dynamical behavior of two types of non-equilibrium systems is discussed: $(a)$ two-dimensional cellular structures, and $(b)$ living polymers. Simple models governing their evolution are introduced and steady state distributions (cell…

Condensed Matter · Physics 2007-05-23 David Mukamel

We consider a class of interacting particle systems in continuous space of non-gradient type, which are reversible with respect to Poisson point processes with constant density. For these models, a rate of convergence was recently obtained…

Probability · Mathematics 2024-01-19 Chenlin Gu , Jean-Christophe Mourrat , Maximilian Nitzschner

We study equilibrium fluctuations for a class of totally asymmetric zero-range type interacting particle systems. As a main result, we show that density fluctuation of our process converges to the stationary energy solution of the…

Probability · Mathematics 2022-01-07 Kohei Hayashi

We consider the impact of surface hydrodynamics on the interplay between curvature and composition in coarsening processes on model systems for biomembranes. This includes scaling laws and equilibrium configurations, which are investigated…

Soft Condensed Matter · Physics 2023-04-19 Elena Bachini , Veit Krause , Axel Voigt

We study roughness scaling of the outer surface and the internal porous structure of deposits generated with the three-dimensional bidisperse ballistic deposition (BBD), in which particles of two sizes are randomly deposited. Systematic…

Statistical Mechanics · Physics 2009-11-13 F. A. Silveira , F. D. A. Aarão Reis

We examine the applicability of the continuum model to describe the surface morphology of a hetero-growth system: compositionally-graded, relaxed GeSi films on (001) Si substrates. Surface roughness versus lateral dimension was analyzed for…

Soft Condensed Matter · Physics 2011-01-17 Chung-Yu Mou , J. W. P. Hsu

We use an exact solution of the elastic membrane shape equation, representing the curvature, which will serve as a quantum potential in the quantum mechanical two dimensional Schrodinger equation for a (quasi-) particle on the surface of…

Quantum Physics · Physics 2016-11-23 Victor Atanasov , Rossen Dandoloff

We present simulation results of deposition growth of surfaces in 2, 3 and 4 dimensions for ballistic deposition where overhangs are present, and for restricted solid on solid deposition where there are no overhangs. The values of the…

Condensed Matter · Physics 2009-10-22 David Y. K. Ko , Flavio Seno

A simple, discrete, parametric model is proposed to describe conditional (correlated) deposition of particles on a surface and formation of a connecting (percolating) cluster. The surface changes spontaneously its properties (phase…

Statistical Mechanics · Physics 2007-05-23 Ana Proykova , Boris Karadjov

We propose a stochastic particle model in (1+1)-dimensions, with one dimension corresponding to rapidity and the other one to the transverse size of a dipole in QCD, which mimics high-energy evolution and scattering in QCD in the presence…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Iancu , J. T. de Santana Amaral , G. Soyez , D. N. Triantafyllopoulos

This short review covers a wide selection of topics from a multidisciplinary area of dynamics of nonequilibrium systems in physics, chemistry, biology. Theoretical models of colloid particle and protein deposition and adhesion at surfaces,…

Condensed Matter · Physics 2007-05-23 Vladimir Privman

We study the motion of a particle sliding under the action of an external field on a stochastically fluctuating one-dimensional Edwards-Wilkinson surface. Numerical simulations using the single-step model shows that the mean-square…

Statistical Mechanics · Physics 2009-11-10 Manoj Gopalakrishnan

We study the dynamic evolution of geometric structures in a poly-degenerate system represented by a $q$-state Potts model with non-conserved order parameter that is quenched from its disordered into its ordered phase. The numerical results…

Disordered Systems and Neural Networks · Physics 2012-03-30 Marcos P. O. Loureiro , Jeferson J. Arenzon , Leticia F. Cugliandolo