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Large eddy simulation (LES) has been increasingly used to tackle vortex-dominated turbulent flows. In LES, the quality of the simulation results hinges upon the quality of the numerical discretizations in both space and time. It is in this…

Computational Physics · Physics 2018-07-19 Mohammad Alhawwary , Z. J. Wang

In this work, we introduce a time memory formalism in poroelasticity model that couples the pressure and displacement. We assume this multiphysics process occurs in multicontinuum media. The mathematical model contains a coupled system of…

Numerical Analysis · Mathematics 2022-01-20 Aleksei Tyrylgin , Maria Vasilyeva , Anatoly Alikhanov , Dongwoo Sheen

We have found a way to analyze Edwards' density of states for static granular packings in the special case of round, rigid, frictionless grains assuming constant coordination number. It obtains the most entropic density of single grain…

Statistical Mechanics · Physics 2009-11-11 Philip T. Metzger , Carly M. Donahue

In the framework of the fluctuation-dissipation approach to dynamical friction, we derive an expression giving the orbital energy exchange experienced by a compound body as it moves interacting with a non homogeneous discrete background.…

Astrophysics · Physics 2020-11-25 R. Domínguez-Tenreiro , M. A. Gómez-Flechoso

We present a finite element discretization of a non-linear diffusion equation used in the field of critical phenomena and, more recently, in the context of Dynamic Density Functional Theory. The discretized equation preserves the structure…

Statistical Mechanics · Physics 2015-06-23 J. A. de la Torre , Pep Español , Aleksandar Donev

The Fluctuation-Dissipation Theorem (FDT) is a powerful tool to estimate the thermal noise of physical systems in equilibrium. In general however, thermal equilibrium is an approximation, or cannot be assumed at all. A more general…

Statistical Mechanics · Physics 2021-10-08 Alex Fontana , Richard Pedurand , Vincent Dolique , Ghaouti Hansali , Ludovic Bellon

In this paper, we develop a modified nonlinear dynamic diffusion (DD) finite element method for convection-diffusion-reaction equations. This method is free of stabilization parameters and is capable of precluding spurious oscillations. We…

Numerical Analysis · Mathematics 2025-03-11 Shaohong Du , Qianqian Hou , Xiaoping Xie

We present extensive computational results for the effective temperature, defined by the fluctuation-dissipation relation between the mean square displacement and the average displacement of grains, under the action of a weak, external…

Soft Condensed Matter · Physics 2007-05-23 Fabricio Q. Potiguar , Hernan A. Makse

Understanding granular and other athermal systems requires the identification of state variables which consistently predict their bulk properties. A promising approach has been to draw on the techniques of equilibrium statistical mechanics,…

Statistical Mechanics · Physics 2009-05-13 Frederic Lechenault , Karen E. Daniels

We study response and velocity autocorrelation functions for a tagged particle in a shear driven suspension governed by underdamped stochastic dynamics. We follow the idea of an effective confinement in dense suspensions and exploit a…

Statistical Mechanics · Physics 2012-02-08 Boris Lander , Udo Seifert , Thomas Speck

We analyse the aging dynamics of the one-dimensional Fredrickson-Andersen (FA) model in the nonequilibrium regime following a low temperature quench. Relaxation then effectively proceeds via diffusion limited pair coagulation (DLPC) of…

Statistical Mechanics · Physics 2007-05-23 Peter Mayer , Peter Sollich

We show that the main dynamical features of granular media can be understood by means of simple models of fragile-glass forming liquid provided that gravity alone is taken into account. In such lattice-gas models of cohesionless and…

Statistical Mechanics · Physics 2009-10-31 M. Sellitto , J. J. Arenzon

We present experiments on several distinct effective temperatures in a granular system at a sequence of increasing packing densities and at a sequence of decreasing driving rates. This includes single-grain measurements based on the…

Soft Condensed Matter · Physics 2009-01-05 A. R. Abate , D. J. Durian

Granular materials undergo compaction under periodic temperature fluctuations, leading to various engineering and geological phenomena from landslides to silo compaction. Although thermal effects on granular materials have been extensively…

Soft Condensed Matter · Physics 2025-01-24 Yuxuan Luo , Haiyang Lu , Xinyu Ai , Zelin Liu , Houfei Yuan , Zhuan Ge , Zhikun Zeng , Yujie Wang

We consider a scalar QED model for the frictional force and the momentum fluctuations of a polarizable particle in thermal equilibrium with radiation or in hyperbolic motion in a vacuum. In the former case the loss of particle kinetic…

Quantum Physics · Physics 2023-11-09 Kanu Sinha , Peter W. Milonni

We study by Monte Carlo simulation the compaction dynamics of hard dimers in 2D under the action of gravity, subjected to vertical and horizontal shaking, considering also the case in which a friction force acts for horizontal displacements…

Statistical Mechanics · Physics 2016-08-31 C. Fusco , A. Fasolino , P. Gallo , A. Petri , M. Rovere

We test the fluctuation-dissipation relation (FDR) in spin ice materials Dy$_2$Ti$_2$O$_7$ and Ho$_2$Ti$_2$O$_7$ by measuring both the magnetic noise and the out-of-phase part of the susceptibility and comparing their ratio. We show that it…

Strongly Correlated Electrons · Physics 2025-10-09 F. Morineau , V. Cathelin , P. C. W. Holdsworth , S. R. Giblin , G. Balakhrishnan , K. Matsuhira , C. Paulsen , E. Lhotel

The non-equilibrium fluctuations of power flux in a fluidized granular media have been recently measured in an experiment [Phys. Rev. Lett. 92, 164301, 2004], which was announced to be a verification of the Fluctuation Relation (FR) by…

Statistical Mechanics · Physics 2007-05-23 A. Puglisi , P. Visco , A. Barrat , E. Trizac , F. van Wijland

Dissipative particle dynamics (DPD) is a relatively new technique which has proved successful in the simulation of complex fluids. We caution that for the equilibrium achieved by the DPD simulation of a simple fluid the temperature depends…

Statistical Mechanics · Physics 2009-10-30 C. A. Marsh , J. M. Yeomans

The experimental search for the QCD critical point by means of relativistic heavy-ion collisions necessitates the development of dynamical models of fluctuations. In this work we study the fluctuations of the net-baryon density near the…

Nuclear Theory · Physics 2020-11-25 Marlene Nahrgang , Marcus Bluhm