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How does a steady state with strong intermittency develop in time from an initial state which is statistically random? For passive sliders driven by various fluctuating surfaces, we show that the approach involves an indefinitely growing…

Statistical Mechanics · Physics 2018-02-07 Tapas Singha , Mustansir Barma

Symmetries represent a fundamental constraint for physical systems and relevant new phenomena often emerge as a consequence of their breaking. An important example is provided by space- and time-translational invariance in statistical…

Statistical Mechanics · Physics 2012-12-21 Matteo Marcuzzi , Andrea Gambassi , Michel Pleimling

We propose a phenomenological equation to describe kinetic roughening of a growing surface in presence of long range interactions. The roughness of the evolving surface depends on the long range feature, and several distinct scenarios of…

Statistical Mechanics · Physics 2009-10-30 Sutapa Mukherji , Somendra M. Bhattacharjee

We consider cosmologies in which a dark-energy scalar field interacts with cold dark matter. The growth of perturbations is followed beyond the linear level by means of the time-renormalization-group method, which is extended to describe a…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-11 F. Saracco , M. Pietroni , N. Tetradis , V. Pettorino , G. Robbers

Sudden and abrupt changes can occur in a nonlinear system within many fields of science when such a system crosses a tipping point and rapid changes of the system occur in response to slow changes in an external forcing. These can occur…

Dynamical Systems · Mathematics 2025-09-05 Paul D. L. Ritchie , Robbin Bastiaansen , Anna S. von der Heydt , Peter Ashwin

The scaling properties of the roughness of surfaces grown by two different processes randomly alternating in time, are addressed. The duration of each application of the two primary processes is assumed to be independently drawn from given…

Statistical Mechanics · Physics 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir

Inspired by the chemical etching processes, where experiments show that growth rates depending on the local environment might play a fundamental role in determining the properties of the etched surfaces, we study here a model for kinetic…

Statistical Mechanics · Physics 2007-05-23 Raffaele Cafiero

Imbibition phenomena have been widely used experimentally and theoretically to study the kinetic roughening of interfaces. We critically discuss the existing experiments and some associated theoretical approaches on the scaling properties…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , M. Alava

I present a simple model of the time dependence of the contact area between solid bodies, assuming either a totally uncorrelated surface topography, or a self affine surface roughness. The existence of relaxation effects (that I incorporate…

Statistical Mechanics · Physics 2015-05-18 E. A. Jagla

We present a theoretical and numerical investigation of the effect of a time-varying external driving force on interface growth. First, we derive a relation between the roughening exponents which comes from a generalized Galilean…

Condensed Matter · Physics 2010-12-17 E. Hernandez-Garcia , T. Ala-Nissila , Martin Grant

In this paper we study kinetically rough surfaces which display anomalous scaling in their local properties such as roughness, or height-height correlation function. By studying the power spectrum of the surface and its relation to the…

Statistical Mechanics · Physics 2009-10-30 Juan M. Lopez , Miguel A. Rodriguez , Rodolfo Cuerno

The dynamic scaling of curved interfaces presents features that are strikingly different from those of the planar ones. Spherical surfaces above one dimension are flat because the noise is irrelevant in such cases. Kinetic roughening is…

Statistical Mechanics · Physics 2009-11-13 Carlos Escudero

We perform large scale simulations of a two dimensional lattice model for amorphous plasticity with random local yield stresses and long-range quadrupolar elastic interactions. We show that as the external stress increases towards the…

Soft Condensed Matter · Physics 2013-12-12 Zoe Budrikis , Stefano Zapperi

Competing time scales generate novelty. Here, we show that a coupling between the time scales imposed by instrument inertia and the formation of inter-particle frictional contacts in shear-thickening suspensions leads to highly asymmetric…

Soft Condensed Matter · Physics 2019-07-23 J. A. Richards , J. R. Royer , B. Liebchen , B. M. Guy , W. C. K. Poon

We study the consequences of time variations in the scale of grand unification, $M_U$, when the Planck scale and the value of the unified coupling at the Planck scale are held fixed. We show that the relation between the variations of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Michael Dine , Yosef Nir , Guy Raz , Tomer Volansky

We point out that in the first order time-dependent perturbation theory, the transition probability may behave nonsmoothly in time and have kinks periodically. Moreover, the detailed temporal evolution can be sensitive to the exact…

Quantum Gases · Physics 2015-09-24 J. M. Zhang , Masudul Haque

We study a strongly interacting dense hard-sphere system confined between two parallel plates by event-driven molecular dynamics simulations to address the fundamental question of the nature of the 3D to 2D crossover. As the fluid becomes…

Soft Condensed Matter · Physics 2017-02-09 Suvendu Mandal , Thomas Franosch

Based upon mesoscale simulations of binary mixtures with very low surface tension and positive disjoining pressure (frustration), we measure the correlation length of the stress field within the flowing mixture, as a function of the…

Soft Condensed Matter · Physics 2013-01-22 R. Benzi , M. Bernaschi , M. Sbragaglia , S. Succi

We study the fluctuations of the two-time dependent global roughness of finite size elastic lines in a quenched random environment. We propose a scaling form for the roughness distribution function that accounts for the two-time,…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sebastian Bustingorry , Jose Luis Iguain , Claudio Chamon , Leticia F. Cugliandolo , Daniel Dominguez

Until very recently, the asymptotic occurrence of intrinsic anomalous scaling has been expected to require concomitant effects for kinetically rough interfaces, like quenched disorder or morphological instabilities. However, counterexamples…

Statistical Mechanics · Physics 2024-05-15 E. Rodriguez-Fernandez , S. N. Santalla , M. Castro , R. Cuerno
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