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We present a number models describing the sequential deposition of a mixture of particles whose size distribution is determined by the power-law $p(x) \sim \alpha x^{\alpha-1}$, $x\leq l$ . We explicitly obtain the scaling function in the…

Statistical Mechanics · Physics 2016-08-31 M K Hassan

We discuss static fluctuations of the d-wave superconducting order parameter $\Delta$ in CuO$_2$ planes, due to quasiparticle scattering by charged dopants. The analysis of two-particle anomalous Green functions at $T = 0$ permits to…

Superconductivity · Physics 2009-11-10 V. M. Loktev , Yu. G. Pogorelov , V. M. Turkowski

In this paper we have considered a simple lattice gas model of chemisorbed monolayer which allows for the harmonic fluctuations of the bond length between the adsorbate atom and the surface site. The model also involves a short-ranged…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 A. Patrykiejew , T. Staszewski

Nearly ten years ago, Kang, Ma, Qiu, and Sterman derived an evolution equation for a $Q\bar{Q}$ pair fragmenting into a quarkonium. In this study we explore the consequence of this evolution for the color-evaporation model, focusing on…

High Energy Physics - Phenomenology · Physics 2023-12-12 B. Guiot , A. Radic , I. Schmidt , K. Werner

Records of the traded value f_i(t) of stocks display fluctuation scaling, a proportionality between the standard deviation sigma(i) and the average <f(i)>: sigma(i) ~ f(i)^alpha, with a strong time scale dependence alpha(dt). The…

Physics and Society · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz

Second-order phase transitions are characterised by critical scaling and universality. The singular behaviour of thermodynamic quantities at the transition, in particular, is determined by critical exponents of the universality class of the…

In a recent paper [Ferrari et al., Phys. Rev. E 69, 035102(R) (2004)], the scaling law of the fluctuations of the step limiting a crystal facet has been computed as a function of the facet size. Ferrari et al. use rigorous, but physically…

Statistical Mechanics · Physics 2015-06-24 Alberto Pimpinelli , M. Degawa , T. L. Einstein , Ellen D. Williams

We study clustering in a stochastic system of particles sliding down a fluctuating surface in one and two dimensions. In steady state, the density-density correlation function is a scaling function of separation and system size.This scaling…

Statistical Mechanics · Physics 2009-11-13 Mustansir Barma

We study the noisy nonequilibrium dynamics of a conserved density that is driven by a fluctuating surface governed by the conserved Kardar-Parisi-Zhang equation. We uncover the universal scaling properties of the conserved density. We…

Statistical Mechanics · Physics 2018-02-14 Tirthankar Banerjee , Abhik Basu

The recently developed formalism of nonlinear fluctuating hydrodynamics (NLFH) has been instrumental in unraveling many new dynamical universality classes in coupled driven systems with multiple conserved quantities. In principle, this…

Statistical Mechanics · Physics 2019-10-23 Shauri Chakraborty , Sakuntala Chatterjee , Mustansir Barma

We consider the overdamped dynamics of a paradigmatic long-range system of particles residing on the sites of a one-dimensional lattice, in the presence of thermal noise. The internal degree of freedom of each particle is a periodic…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Alessandro Campa , Stefano Ruffo

We study fluctuations in a vertically oscillated layer of grains below the critical acceleration for the onset of ordered standing waves. As onset is approached, transient disordered waves with a characteristic length scale emerge and…

Condensed Matter · Physics 2009-11-10 Daniel I. Goldman , J. B. Swift , Harry L. Swinney

We study stationary fluctuations of conserved slow modes in a two-lane model of hardcore particles which are expected to show universal behaviour. Specifically, we focus on the properties of fluctuations at a special umbilic point where the…

Statistical Mechanics · Physics 2025-09-08 Johannes Schmidt , Žiga Krajnik , Vladislav Popkov

We study numerically the coarsening dynamics of the Ising model on a regular lattice with random bonds and on deterministic fractal substrates. We propose a unifying interpretation of the phase-ordering processes based on two classes of…

Statistical Mechanics · Physics 2015-06-24 Federico Corberi , Eugenio Lippiello , Raffaella Burioni , Alessandro Vezzani , Marco Zannetti

The large scale fluctuations of the ordered state in active matter systems are usually characterised by studying the "giant number fluctuations" of particles in any finite volume, as compared to the expectations from the central limit…

Soft Condensed Matter · Physics 2018-05-25 Supravat Dey , Dibyendu Das , R. Rajesh

Microcanonical Monte Carlo simulations of a polydisperse soft-spheres model for liquids and colloids have been performed for very large polydispersity, in the region where a phase-separation is known to occur when the system (or part of it)…

Soft Condensed Matter · Physics 2011-08-31 L. A. Fernandez , V. Martin-Mayor , B. Seoane , P. Verrocchio

We investigate the strong out-of-equilibrium dynamics occurring when a harmonically trapped ultracold bosonic gas is evaporatively cooled across the Bose--Einstein condensation transition. By imaging the cloud after free expansion, we study…

Quantum Gases · Physics 2022-03-29 Wolswijk L. , Mordini C. , Farolfi A. , Trypogeorgos D. , Dalfovo F. , Zenesini A. , Ferrari G. , Lamporesi G

Covariance matrix of heights measured relative to the average height of a growing self-affine surface in the steady state are investigated in the framework of random matrix theory. We show that the spectral density of the covariance matrix…

Statistical Mechanics · Physics 2015-06-11 Hyun-Joo Kim , Doil Jung

Tightly packed granular particles under shear often exhibit intriguing intermittencies, specifically, sudden stress drops that we refer to as quaking. To probe the nature of this phenomenon, we prototype a circular shear cell that is…

Soft Condensed Matter · Physics 2025-02-18 Jr-Jun Lin , Cheng-En Tsai , Jung-Ren Huang , Jih-Chiang Tsai

Deterministic rate equations are widely used in the study of stochastic, interacting particles systems. This approach assumes that the inherent noise, associated with the discreteness of the elementary constituents, may be neglected when…

Statistical Mechanics · Physics 2012-01-26 David A. Kessler , Nadav M. Shnerb
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