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Related papers: Universal scaling dynamics in a perturbed granular…

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In a recent work [Reible et al., Phys. Rev. Res. 5, 023156, 2023], it has been shown that the mean particle-particle interaction across an ideal surface that divides a system into two parts, can be employed to estimate the size dependence…

Statistical Mechanics · Physics 2024-01-25 Luigi Delle Site , Carsten Hartmann

Geometrical random multiplicative cascade processes are often used to model positive-valued multifractal fields such as the energy dissipation in fully developed turbulence. We propose a dynamical generalization describing the energy…

Condensed Matter · Physics 2015-06-24 Juergen Schmiegel , Jochen Cleve , Hans C. Eggers , Bruce R. Pearson , Martin Greiner

The quantum dynamical evolution of atomic and molecular aggregates, from their compact to their fragmented states, is parametrized by a single collective radial parameter. Treating all the remaining particle coordinates in d dimensions…

Atomic and Molecular Clusters · Physics 2009-10-31 U. Fano , D. Green , J. L. Bohn , T. A. Heim

We study the dynamic scaling properties of an aggregation model in which particles obey both diffusive and driven ballistic dynamics. The diffusion constant and the velocity of a cluster of size $s$ follow $D(s) \sim s^\gamma$ and $v(s)…

Statistical Mechanics · Physics 2009-10-31 E. K. O. Hellen , T. P. Simula , M. J. Alava

We discuss emergence of geometrical scaling as a consequence of the nonlinear evolution equations of QCD, which generate a new dynamical scale, known as the saturation momentum: Qs. In the kinematical region where no other energy scales…

High Energy Physics - Phenomenology · Physics 2017-04-26 Michal Praszalowicz

By means of tree-dimensional contact dynamics simulations, we analyze the vibrational dynamics of a confined granular layer in response to harmonic forcing. The sample is composed of polyedric grains with a shape derived from digitalized…

Classical Physics · Physics 2008-07-22 Émilien Azema , F. Radjaï , R. Peyroux , Frédéric Dubois , G. Saussine

We analyse numerically the critical behavior of an absorbing phase transition in a conserved lattice gas in an external field. The external field is realized as a spontaneous creation of active particles which drives the system away from…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck

We study the dynamics of phase ordering of a non-conserved, scalar order parameter in one dimension, with long-range interactions characterized by a power law $r^{-d-\sigma}$. In contrast to higher dimensional systems, the point nature of…

Condensed Matter · Physics 2009-10-22 B. P. Lee , J. L. Cardy

The effects of three-dimensional perturbations in two-dimensional turbulence are investigated, through a conformal field theory approach. We compute scaling exponents for the energy spectra of enstrophy and energy cascades, in a strong…

High Energy Physics - Theory · Physics 2009-10-28 L. Moriconi

We analyze the response of a complex quantum-mechanical system (e. g., a quantum dot) to a time-dependent perturbation. Assuming the dot energy spectrum and the perturbation to be described by the Gaussian Orthogonal Ensemble of random…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. M. Basko , M. A. Skvortsov , V. E. Kravtsov

We present an analytical formalism, supported by numerical simulations, for studying forces that act on curved walls following temperature quenches of the surrounding ideal Brownian fluid. We show that, for curved surfaces, the post-quench…

Statistical Mechanics · Physics 2024-04-23 Mehrana R. Nejad , Hamidreza Khailian , Christian M. Rohwer , Ali G. Moghaddam

Molecular dynamics simulations with varying damping are used to examine the effects of inertia and spatial dimension on sheared disordered solids in the athermal, quasistatic limit. In all cases the distribution of avalanche sizes follows a…

Soft Condensed Matter · Physics 2015-03-17 K. Michael Salerno , Mark O. Robbins

We study far-from-equilibrium dynamics in models of freely cooling granular gas and ballistically aggregating compact clusters. For both the cases, from event driven molecular dynamics simulations we have presented detailed results on…

Statistical Mechanics · Physics 2017-07-12 Subhajit Paul , Subir K. Das

We study the time evolution of wave packets at the mobility edge of disordered non-interacting electrons in two and three spatial dimensions. The results of numerical calculations are found to agree with the predictions of scaling theory.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein , Rochus Klesse

We consider a simple model of d families of scalar field interacting with geometry in two dimensions. The geometry is locally flat and has only global degrees of freedom. When d<0 the universe is locally two dimensional but for d>0 it…

High Energy Physics - Theory · Physics 2009-10-30 J. D. Correia , J. F. Wheater

By means of two-dimensional contact dynamics simulations, we analyze the vibrational dynamics of a confined granular layer in response to harmonic forcing. We use irregular polygonal grains allowing for strong variability of solid fraction.…

Classical Physics · Physics 2016-08-16 Emilien Azema , Farhang Radjaï , Robert Peyroux , Frédéric Dubois , Gilles Saussine

Quasi-stationary far-from-equilibrium critical states of a two-component Bose gas are studied in two spatial dimensions. After the system has undergone an initial dynamical instability it approaches a non-thermal fixed point. At this…

Quantum Gases · Physics 2013-12-16 Markus Karl , Boris Nowak , Thomas Gasenzer

The energy of ultra-dilute quantum many-body systems is known to exhibit a universal dependence on the gas parameter $x=n a_0^d$, with $n$ the density, $d$ the dimensionality of the space ($d=1,2,3$) and $a_0$ the $s$-wave scattering…

Quantum Gases · Physics 2022-08-31 J. Sánchez-Baena , L. A. Peña Ardila , G. Astrakharchik , F. Mazzanti

A $\Gamma$-convergence analysis is used to perform a 3D-2D dimension reduction of variational problems with linear growth. The adopted scaling gives rise to a nonlinear membrane model which, because of the presence of higher order external…

Analysis of PDEs · Mathematics 2013-10-31 Jean-Francois Babadjian , Elvira Zappale , Hamdi Zorgati

We study numerically spatio-temporal fluctuations during the out-of-equilibrium relaxation of the three-dimensional Edwards-Anderson model. We focus on two issues. (1) The evolution of a growing dynamical length scale in the glassy phase of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ludovic D. C. Jaubert , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco