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For thermally fluctuating 2-d systems, like solid surfaces, time and space correlation of the local surface height diverge logarithmically in the rough phase, whereas saturation is obtained below the roughening transition. A 2-d Langevin…

Statistical Mechanics · Physics 2009-11-10 E. Le Goff , L. Barbier , B. Salanon

The properties of tissue interfaces -- between separate populations of cells, or between a group of cells and its environment -- has attracted intense theoretical, computational, and experimental study. Recent work on shape-based models…

Soft Condensed Matter · Physics 2024-12-04 Haicen Yue , Charles R. Packard , Daniel M. Sussman

Inhomogeneities in deposition may lead to formation of rough surfaces, whose height fluctuations can be probed directly by scanning microscopy, or indirectly by scattering. Analytical or numerical treatments of simple growth models suggest…

Condensed Matter · Physics 2009-10-28 Mehran Kardar

We show that smoothing of multiaffine surfaces that are generated by simulating a crosslinked polymer gel by a frustrated, triangular network of springs of random equilibrium lengths [G.M. Buend{\'\i}a, S.J. Mitchell, P.A. Rikvold, Phys.…

Statistical Mechanics · Physics 2007-05-23 G. M. Buendia , S. J. Mitchell , P. A. Rikvold

Recent work has shown that the synchronization process in lattices of self-sustained (phase and limit-cycle) oscillators displays universal scale-invariant behavior previously studied in the physics of surface kinetic roughening. The type…

Statistical Mechanics · Physics 2025-02-14 Ricardo Gutierrez , Rodolfo Cuerno

We develop a new approach to characterizing the morphology of rough surfaces based on the analysis of the scaling properties of contour loops, i.e. loops of constant height. Given a height profile of the surface we perform independent…

Materials Science · Physics 2009-10-31 J. Kondev , C. L. Henley , D. G. Salinas

We study correlation properties of the generalized elastic model which accounts for the dynamics of polymers, membranes, surfaces and fluctuating interfaces, among others. We develop a theoretical framework which leads to the emergence of…

Statistical Mechanics · Physics 2012-03-19 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

Many materials quenched into their ordered phase undergo ageing and there show dynamical scaling. For any given dynamical exponent z, this can be extended to a new form of local scale-invariance which acts as a dynamical symmetry. The…

Statistical Mechanics · Physics 2010-04-23 Malte Henkel

Recent experiments of imbibition in columnar geometries show interfacial fluctuations whose dynamic scaling is not compatible with the usual non local model governed by surface tension that results from a macroscopic description. To explore…

Statistical Mechanics · Physics 2009-11-13 M. Pradas , A. Hernández-Machado , M. A. Rodríguez

We investigate the spatiotemporal dynamics of a network of coupled nonlinear oscillators, modeled by sine circle maps, with varying degrees of randomness in coupling connections. We show that the change in the basin of attraction of the…

Chaotic Dynamics · Physics 2009-01-02 Zahera Jabeen , Sudeshna Sinha

The success of large-scale models in recent years has increased the importance of statistical models with numerous parameters. Several studies have analyzed over-parameterized linear models with high-dimensional data, which may not be…

Statistics Theory · Mathematics 2025-03-14 Shogo Nakakita , Masaaki Imaizumi

The interaction between turbulent axisymmetric wakes plays an important role in many industrial applications, notably in the modelling of wind farms. While the non-equilibrium high Reynolds number scalings present in the wake of…

Fluid Dynamics · Physics 2021-03-29 M. Obligado , S. Klein , J. C. Vassilicos

Interfacial roughening denotes the nonequilibrium process by which an initially flat interface reaches its equilibrium state, characterized by the presence of thermally excited capillary waves. Roughening of fluid interfaces has been first…

Statistical Mechanics · Physics 2013-02-28 Markus Gross , Fathollah Varnik

Static friction induced by moir\'e superstructure in twisted incommensurate finite layered material interfaces reveals unique double periodicity and lack of scaling with contact size. The underlying mechanism involves compensation of…

Applied Physics · Physics 2023-08-08 Weidong Yan , Xiang Gao , Wengen Ouyang , Ze Liu , Oded Hod , Michael Urbakh

We have imagined a numerical experiment to explore the onset of turbulent intermittency associated with a spatial perturbation of the correlation length. We place two isotropic regions, with different integral scales, inside a volume where…

Fluid Dynamics · Physics 2012-11-29 Daniela Tordella , Michele Iovieno

We show that stochastically driven nonequilibrium conserved growth models admit generic strong coupling phases for sufficiently strong nonlocal chemical potentials underlying the dynamics. The models exhibit generic roughening transitions…

Statistical Mechanics · Physics 2025-11-19 Debayan Jana , Abhik Basu

Covering elastic substrates with stiff biomimetic scales significantly alters the bending behavior via scales engagement. This engagement is the dominant source of nonlinearity in small deflection regime. As deformation proceeds, an…

Soft Condensed Matter · Physics 2019-11-07 Hessein Ali , Hossein Ebrahimi , Ranajay Ghosh

A salient feature of cyclically driven first-order phase transformations in crystals is their scale-free avalanche dynamics. This behavior has been linked to the presence of a classical critical point but the mechanism leading to…

Disordered Systems and Neural Networks · Physics 2016-10-14 Francisco J. Perez-Reche , Carles Triguero , Giovanni Zanzotto , Lev Truskinovsky

We summarize and expand our investigations concerning the soft graviton effects on microscopic matter dynamics in de Sitter space. The physical couplings receive IR logarithmic corrections which are sensitive to the IR cut-off at the…

High Energy Physics - Theory · Physics 2014-03-31 Hiroyuki Kitamoto , Yoshihisa Kitazawa

We studied interplay between kinetic roughening and phase ordering in 1+1 dimensional single-step solid-on-solid growth model with two kinds of particles and Ising-like interaction. Evolution of both geometrical and compositional properties…

Statistical Mechanics · Physics 2009-10-30 Miroslav Kotrla , Milan Predota