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Height fluctuations of growing surfaces can be characterized by the probability distribution of height in a spatial point at a finite time. Recently there has been spectacular progress in the studies of this quantity for the…

Statistical Mechanics · Physics 2017-01-25 Naftali R. Smith , Baruch Meerson , Pavel V. Sasorov

We define a new model of interface roughening which has the property that the minimum of interface height is conserved locally during the growth. This model corresponds to the limit $q \to \infty$ of the q-color dimer deposition-evaporation…

Statistical Mechanics · Physics 2008-02-03 Hari M. Koduvely , Deepak Dhar

We study a restricted solid-on-solid (RSOS) model involving deposition and evaporation with probabilities p and 1-p, respectively, in one-dimensional substrates. It presents a crossover from Edwards-Wilkinson (EW) to Kardar-Parisi-Zhang…

Statistical Mechanics · Physics 2014-05-07 T. J. Oliveira , K. Dechoum , J. A. Redinz , F. D. A. Aarao Reis

We study the stochastically driven conserved Kardar-Parisi-Zhang (CKPZ) equation with quenched disorders. Short-ranged quenched disorders is found to be a relevant perturbation on the pure CKPZ equation at one dimension, and as a result, a…

Statistical Mechanics · Physics 2021-04-05 Sudip Mukherjee

We investigate analytically the large dimensional behavior of the Kardar-Parisi-Zhang (KPZ) dynamics of surface growth using a recently proposed non-perturbative renormalization for self-affine surface dynamics. Within this framework, we…

Statistical Mechanics · Physics 2009-10-31 C. Castellano , A. Gabrielli , M. Marsili , M. A. Munoz , L. Pietronero

The field theoretic renormalization group (RG) and the operator product expansion (OPE) are applied to the model of a density field advected by a random turbulent velocity field. The latter is governed by the stochastic Navier-Stokes…

Statistical Mechanics · Physics 2017-03-27 N. V. Antonov , N. M. Gulitskiy , M. M. Kostenko , T. Lučivjanský

We reconsider the conceptual foundations of the renormalization-group (RG) formalism, and prove some rigorous theorems on the regularity properties and possible pathologies of the RG map. Regarding regularity, we show that the RG map,…

High Energy Physics - Lattice · Physics 2015-06-25 A. C. D. van Enter , R. Fernandez , A. D. Sokal

We review the application of field-theoretic renormalization group (RG) methods to the study of fluctuations in reaction-diffusion problems. We first investigate the physical origin of universality in these systems, before comparing RG…

Statistical Mechanics · Physics 2007-05-23 Uwe C. Tauber , Martin Howard , Benjamin P. Vollmayr-Lee

Kinetic roughening of a randomly growing surface can be modelled by the Kardar-Parisi-Zhang equation with a time-independent (``spatially quenched'' or ``columnar'') random noise. In this paper, we use the field-theoretic renormalization…

Statistical Mechanics · Physics 2023-12-15 N. V. Antonov , P. I. Kakin , M. A. Reiter

We investigate the shape of a growing interface in the presence of an impenetrable moving membrane. The two distinct geometrical arrangements of the interface and membrane, obtained by placing the membrane behind or ahead of the interface,…

Statistical Mechanics · Physics 2018-08-08 J. Whitehouse , R. A. Blythe , M. R. Evans , D. Mukamel

Burgers-Kardar-Parisi-Zhang (KPZ) scaling has recently (re-) surfaced in a variety of physical contexts, ranging from anharmonic chains to quantum systems such as open superfluids, in which a variety of random forces may be encountered…

Statistical Mechanics · Physics 2015-03-24 Philipp Strack

We analyze the renormalization-group (RG) flows of two effective Lagrangians, one for measurement induced transitions of monitored quantum systems and one for entanglement transitions in random tensor networks. These Lagrangians, previously…

Statistical Mechanics · Physics 2024-09-20 Adam Nahum , Kay Joerg Wiese

We report on the growth dynamic of CdTe thin films for deposition temperatures ($T$) in the range of $150\,^{\circ}\mathrm{C}$ to $300\,^{\circ}\mathrm{C}$. A relation between mound evolution and large-wavelength fluctuations at CdTe…

Statistical Mechanics · Physics 2015-03-27 Renan A. L. Almeida

We establish new scaling properties for the universality class of Model C, which describes relaxational critical dynamics of a nonconserved order parameter coupled to a conserved scalar density. We find an anomalous diffusion phase, which…

Statistical Mechanics · Physics 2013-11-05 David Mesterházy , Jan H. Stockemer , Leticia F. Palhares , Jürgen Berges

We introduce a non-perturbative renormalization approach which identifies stable fixed points in any dimension for the Kardar-Parisi-Zhang dynamics of rough surfaces. The usual limitations of real space methods to deal with anisotropic…

Statistical Mechanics · Physics 2009-10-31 C. Castellano , M. Marsili , L. Pietronero

We study the forced fluid invasion of an air-filled model porous medium at constant flow rate, in 1+1 dimensions, both experimentally and theoretically. We focus on the non-local character of the interface dynamics, due to liquid…

Condensed Matter · Physics 2009-11-07 A. Hernandez-Machado , J. Soriano , A. M. Lacasta , M. A. Rodriguez , L. Ramirez-Piscina , J. Ortin

The total elastic stiffness of two contacting bodies with a microscopically rough interface has an interfacial contribution K that is entirely attributable to surface roughness. A quantitative understanding of K is important because it can…

Soft Condensed Matter · Physics 2013-07-30 Lars Pastewka , Nikolay Prodanov , Boris Lorenz , Martin H. Müser , Mark O. Robbins , Bo N. J. Persson

Depinning of elastic systems advancing on disordered media can usually be described by the quenched Edwards-Wilkinson equation (qEW). However, additional ingredients such as anharmonicity and forces that can not be derived from a potential…

Disordered Systems and Neural Networks · Physics 2023-06-14 Gauthier Mukerjee , Juan A. Bonachela , Miguel A. Muñoz , Kay Joerg Wiese

We develop a renormalization group (RG) description of the localization properties of onedimensional (1D) quasiperiodic lattice models. The RG flow is induced by increasing the unit cell of subsequent commensurate approximants. Phases of…

Disordered Systems and Neural Networks · Physics 2023-10-10 Miguel Gonçalves , Bruno Amorim , Eduardo V. Castro , Pedro Ribeiro

Connecting plasma processing parameters to the resultant film microstructure remains a fundamental challenge in materials synthesis, one that has largely confined process design to empirical approaches. To bridge this gap, we develop a…

Plasma Physics · Physics 2025-07-16 Joel Saucedo , Uday Lamba , Hasitha Mahabaduge