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The Kardar-Parisi-Zhang (KPZ) equation is accepted as a generic description of interfacial growth. In several recent studies, however, values of the roughness exponent alpha have been reported that are significantly less than that…

Statistical Mechanics · Physics 2016-08-31 R. A. Blythe , M. R. Evans

This paper tackles the problem of motion deblurring of dynamic scenes. Although end-to-end fully convolutional designs have recently advanced the state-of-the-art in non-uniform motion deblurring, their performance-complexity trade-off is…

Computer Vision and Pattern Recognition · Computer Science 2024-02-12 Maitreya Suin , Kuldeep Purohit , A. N. Rajagopalan

When a fluid flows past a solid surface, its macroscopic motion arises from a subtle interplay between microscopic hydrodynamic and thermodynamic effects at the fluid-solid interface. Classical hydrodynamic models often rely on an…

Fluid Dynamics · Physics 2026-02-04 Haodong Zhang , Fei Wang , Britta Nestler

I describe a concrete and efficient real-space renormalization approach that provides a unifying perspective on interface states in a wide class of Hermitian and non-Hermitian models, irrespective of whether they obey a traditional…

Mesoscale and Nanoscale Physics · Physics 2023-12-15 Henning Schomerus

We elucidate a long-standing puzzle about the non-equilibrium universality classes describing self-organized criticality in sandpile models. We show that depinning transitions of linear interfaces in random media and absorbing phase…

Statistical Mechanics · Physics 2007-05-23 Juan A. Bonachela , H. Chate , I. Dornic , Miguel A. Munoz

The essential features of many interfaces driven out of equilibrium are described by the same equation---the Kardar-Parisi-Zhang (KPZ) equation. How do living interfaces, such as the cell membrane, fit into this picture? In an endeavour to…

Statistical Mechanics · Physics 2020-04-22 Francesco Cagnetta , Martin R. Evans , Davide Marenduzzo

We present a realization of directed Ising (DI) type dynamic absorbing state phase transitions in the context of one-dimensional interfaces, such as the relaxation of a step on a vicinal surface. Under the restriction that particle…

Statistical Mechanics · Physics 2009-10-31 Jae Dong Noh , Hyunggyu Park , Marcel den Nijs

We study the localization/delocalization phase transition in a class of directed models for a homogeneous linear chain attracted to a defect line. The self-interaction of the chain is of mixed gradient and Laplacian kind, whereas the…

Probability · Mathematics 2010-06-07 Martin Borecki , Francesco Caravenna

We consider the evolution of interfaces with a diffusive term and a generalized Kardar-Parisi-Zhang (KPZ) non-linearity, which results in a propagation velocity that depends periodically on the tilt of the interface. Using large scale…

Statistical Mechanics · Physics 2022-01-06 Peter Grassberger

Dislocation-interface interactions dictate the mechanical properties of polycrystalline materials through dislocation absorption, emission and reflection and interface sliding. We derive a mesoscale interface boundary condition to describe…

Materials Science · Physics 2023-06-19 Jinxin Yu , Alfonso H. W. Ngan , David J. Srolovitz , Jian Han

We consider the growth of clusters in disordered media at zero temperature, as exemplified by supercritical generalized percolation and by the random field Ising model. We show that the morphology of such clusters and of their surfaces can…

Statistical Mechanics · Physics 2020-11-04 Peter Grassberger

We study the $(1+1)$-dimensional Kardar-Parisi-Zhang (KPZ) interfaces growing inward from ring-shaped initial conditions, experimentally and numerically, using growth of a turbulent state in liquid-crystal electroconvection and an…

Statistical Mechanics · Physics 2017-08-14 Yohsuke T. Fukai , Kazumasa A. Takeuchi

To describe the full spectrum of surface fluctuations of the interface between phase-separated colloid-polymer mixtures from low scattering vector q (classical capillary wave theory) to high q (bulk-like fluctuations), one must take account…

Soft Condensed Matter · Physics 2009-11-13 Edgar M. Blokhuis , Joris Kuipers , Richard Vink

The probabilistic study of effective interface models has been quite active in recent years, with a particular emphasis on the effect of various external potentials (wall, pinning potential, ...) leading to localization/delocalization…

Probability · Mathematics 2007-05-23 Yvan Velenik

We propose a method to describe the short-distance behavior of an interface fluctuating in the presence of the wedge-shaped substrate near the critical filling transition. Two different length scales determined by the average height of the…

Statistical Mechanics · Physics 2009-10-31 A. Bednorz , M. Napiorkowski

We consider the model of random sequential adsorption, with depositing objects, as well as those already at the surface, decreasing in size according to a specified time dependence, from a larger initial value to a finite value in the large…

Mathematical Physics · Physics 2010-10-12 Oleksandr Gromenko , Vladimir Privman

Random sequential adsorption with diffusional relaxation, of two by two square objects on the two-dimensional square lattice is studied by Monte Carlo computer simulation. Asymptotically for large lattice sizes, diffusional relaxation…

Condensed Matter · Physics 2010-10-12 Jian-Sheng Wang , Peter Nielaba , Vladimir Privman

We study phase behaviour of a model fluid confined between two unlike parallel walls in the presence of long range (dispersion) forces. Predictions obtained from macroscopic (geometric) and mesoscopic arguments are compared with numerical…

Statistical Mechanics · Physics 2016-03-15 Alexandr Malijevský

The desorption kinetics was modelled with the both interface- and surface reactions as rate-controlling steps. It has been shown analytically, that in the model of 'shrinking core' desorption, the finite hydride-decomposition-rate causes a…

Chemical Physics · Physics 2014-07-18 I. Drozdov

Critical wetting is an elusive phenomenon for solid-fluid interfaces. Using interfacial models we show that the diverging length scales, which characterize complete wetting at an apex, precisely mimic critical wetting with the apex angle…

Statistical Mechanics · Physics 2009-11-07 A. O. Parry , M. J. Greenall , J. M. Romero-Enrique