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Related papers: Universal scaling dynamics in a perturbed granular…

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Granular gases as dilute ensembles of particles in random motion are not only at the basis of elementary structure-forming processes in the universe and involved in many industrial and natural phenomena, but also excellent models to study…

Fluid Dynamics · Physics 2018-09-14 Kirsten Harth , Torsten Trittel , Sandra Wegner , Ralf Stannarius

We analyse the scaling properties of the energy spectra in fully developed incompressible turbulence in forced, rotating fluids in three dimensions (3D), which are believed to be characterised by universal scaling exponents in the inertial…

Statistical Mechanics · Physics 2022-12-02 Abhik Basu , Jayanta K Bhattacharjee

We study dynamics of freely cooling granular gases in two-dimensions using large-scale molecular dynamics simulations. We find that for dilute systems the typical kinetic energy decays algebraically with time, E(t) ~ t^{-1}, in the long…

Statistical Mechanics · Physics 2007-05-23 Xiaobo Nie , Eli Ben-Naim , Shiyi Chen

Via event-driven molecular dynamics simulations we study kinetics of clustering in assemblies of inelastic particles in various space dimensions. We consider two models, viz., the ballistic aggregation model (BAM) and the freely cooling…

Statistical Mechanics · Physics 2018-04-04 Subhajit Paul , Subir K. Das

Intermediate energy scale physics plays a very important role in non-equilibrium dynamics of quasi-low dimensional cold atom systems. In this article we obtain the universal scaling relations for the generalized reflection coefficient,…

Quantum Gases · Physics 2016-10-31 Jeff Maki , Fei Zhou

We introduce a simple geometric model which describes the kinetics of fragmentation of d-dimensional objects. In one dimension our model coincides with the random scission model and show a simple scaling behavior in the long-time limit. For…

Condensed Matter · Physics 2009-10-22 P. L. Krapivsky , E. Ben-Naim

Large scale simulations of two-dimensional bidisperse granular fluids allow us to determine spatial correlations of slow particles via the four-point structure factor $S_4(q,t)$. Both cases, elastic ($\varepsilon=1$) as well as inelastic…

Statistical Mechanics · Physics 2014-07-16 Karina E. Avila , Horacio E. Castillo , Andrea Fiege , Katharina Vollmayr-Lee , Annette Zippelius

We consider cosmology in the framework of a `material reference system' of D particles, including the effects of quantum recoil induced by closed-string probe particles. We find a time-dependent contribution to the cosmological vacuum…

General Relativity and Quantum Cosmology · Physics 2009-09-11 John Ellis , N. E. Mavromatos , D. V. Nanopoulos

We investigate the effects of fluctuations on the dynamics of an isolated quantum system represented by a $\phi^4$ field theory with $O(N)$ symmetry after a quench in $d>2$ spatial dimensions. A perturbative renormalization-group approach…

Statistical Mechanics · Physics 2016-11-23 Alessio Chiocchetta , Marco Tavora , Andrea Gambassi , Aditi Mitra

We examine the scaling of the linear dimension of the system size of a real polymer solution at constant excess free energy and in two different spacial dimensionalities, d=d0 and d=d1. Standard results for the functional form of the excess…

Soft Condensed Matter · Physics 2008-09-23 C. P. Lowe , M. W. Dreischor

We study the evolution of domain wall networks appearing after phase transitions in the early Universe. They exhibit interesting dynamical scaling behaviour which is not yet well understood, and are also simple models for the more…

High Energy Physics - Phenomenology · Physics 2009-11-07 Theodore Garagounis , Mark Hindmarsh

Starting from three-dimensional nonlinear elasticity under the restriction of incompressibility, we derive reduced models to capture the behavior of strings in response to external forces. Our $\Gamma$-convergence analysis of the…

Analysis of PDEs · Mathematics 2023-06-22 Dominik Engl , Carolin Kreisbeck

The global energy fluctuations of a low density gas granular gas in the homogeneous cooling state near its clustering instability are studied by means of molecular dynamics simulations. The relative dispersion of the fluctuations is shown…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. I. Garcia de Soria , P. Maynar , M. J. Ruiz-Montero

We formulate a scaling theory for the long-time diffusive motion in a space occluded by a high density of moving obstacles in dimensions 1, 2 and 3. Our tracers diffuse anomalously over many decades in time, before reaching a diffusive…

Statistical Mechanics · Physics 2024-10-22 H. Bendekgey , G. Huber , D. Yllanes

We make use of the formalism described in a previous paper [Martins {\it et al.} Phys. Rev. D90 (2014) 043518] to address general features of wiggly cosmic string evolution. In particular, we highlight the important role played by poorly…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-21 J. P. P. Vieira , C. J. A. P. Martins , E. P. S. Shellard

We introduce a model for the turbulent energy cascade aimed at studying the effect of dynamical scaling on intermittency. In particular, we show that by slowing down the energy transfer mechanism for fixed energy flux, intermittency…

Chaotic Dynamics · Physics 2009-11-10 R. Benzi , L. Biferale , M. Sbragaglia

Coarsening of an isolated far-from-equilibrium quantum system is a paradigmatic many-body phenomenon, relevant from subnuclear to cosmological lengthscales, and predicted to feature universal dynamic scaling. Here, we observe universal…

The dynamical equations describing the evolution of a physical system generally have a freedom in the choice of units, where different choices correspond to different physical systems that are described by the same equations. Since there…

Instrumentation and Methods for Astrophysics · Physics 2012-04-11 Jonathan Granot

Within the causal dynamical triangulations approach to the quantization of gravity, striking evidence has emerged for the dynamical reduction of spacetime dimension on sufficiently small scales. Specifically, the spectral dimension…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Joshua H. Cooperman , Manuchehr Dorghabekov

We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical…

Disordered Systems and Neural Networks · Physics 2015-03-17 Jacob J. Krich , Alán Aspuru-Guzik