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A small tagged particle immersed in a fluid exhibits the Brownian motion and diffuses at the long-time scale. Meanwhile, at the short-time scale, the dynamics of the tagged particle cannot be simply described by the usual generalized…

Statistical Mechanics · Physics 2020-09-04 Fumiaki Nakai , Yuichi Masubuchi , Takashi Uneyama

The principle of dynamic equivalence between soft-sphere and hard-sphere fluids [Phys. Rev. E \textbf{68}, 011405 (2003)] is employed to describe the interplay of the effects of varying the density n, the temperature T, and the softness…

The motion of a small compact object in a curved background spacetime deviates from a geodesic due to the action of its own field, giving rise to a self-force. This self-force may be calculated by integrating the Green function for the wave…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Marc Casals , Sam Dolan , Adrian C. Ottewill , Barry Wardell

Within the mode-coupling theory for ideal glass-transitions, the mean-squared displacement and the correlation function for density fluctuations are evaluated for a colloidal liquid of particles interacting with a square-well potential for…

Soft Condensed Matter · Physics 2007-05-23 M. Sperl

The effect of velocity correlations on the equal-time density autocorrelation function, e.g. the pair distribution function or pdf, of a hard-sphere fluid undergoing shear flow is investigated. The pdf at contact is calculated within the…

Statistical Mechanics · Physics 2009-11-07 James F. Lutsko

We examine the dependence of the dynamics of three-dimensional active fluids on persistence time $\tau_p$ and average self-propulsion force $f$. In the large persistence time limit many properties of these fluids become…

Soft Condensed Matter · Physics 2023-07-06 Grzegorz Szamel , Elijah Flenner

Scaling laws for the propulsive performance of rigid foils undergoing oscillatory heaving and pitching motions are presented. Water tunnel experiments on a nominally two-dimensional flow validate the scaling laws, with the scaled data for…

Fluid Dynamics · Physics 2017-06-09 Daniel Floryan , Tyler Van Buren , Clarence W. Rowley , Alexander J. Smits

We investigate correlation time numerically in extremal self-organized critical models, namely, the Bak-Sneppen evolution and the Robin Hood dynamics. The (fitness) correlation time is the duration required for the extinction or mutation of…

Statistical Mechanics · Physics 2025-01-08 Rahul Chhimpa , Abha Singh , Avinash Chand Yadav

The transport properties of a random velocity field with Kolmogorov spectrum and time correlations defined along Lagrangian trajectories are analyzed. The analysis is carried on in the limit of short correlation times, as a perturbation…

Chaotic Dynamics · Physics 2009-11-07 Piero Olla

This work is devoted to the study of the scaling, and the consequent power-law behavior, of the correlation function in a mutation-replication model known as the expansion-modification system. The latter is a biology inspired random…

Probability · Mathematics 2015-06-04 Raúl Salgado-García , Edgardo Ugalde

Asynchronous dynamics given by the master equation in the Sherrington--Kirkpatrick (SK) spin-glass model is studied based on dynamical replica theory (DRT) with an extension to take into account the autocorrelation function. The dynamical…

Disordered Systems and Neural Networks · Physics 2015-06-12 Ayaka Sakata

In the present study, we performed molecular-dynamics simulations and investigated dynamical heterogeneity in a supercooled liquid under a steady shear flow. Dynamical heterogeneity can be characterized by three quantities: the correlation…

Soft Condensed Matter · Physics 2012-04-25 Hideyuki Mizuno Ryoichi Yamamoto

We show that measurements of the rapidity dependence of transverse momentum correlations can be used to determine the characteristic time $\tau_\pi$ that dictates the rate of isotropization of the stress energy tensor, as well as the shear…

Nuclear Theory · Physics 2016-09-02 Sean Gavin , George Moschelli , Christopher Zin

This study employs molecular dynamics simulations to investigate droplet dynamics when a stationary droplet on a solid surface is struck by another droplet of similar size from above. The focus is on the jumping behavior of the merged…

Fluid Dynamics · Physics 2026-03-25 Ertiza Hossain Shopnil , Jahid Emon , Md Nadeem Azad , AKM Monjur Morshed

We present a systematic study of the self-diffusion coefficient for a fluid of particles interacting via the square-well pair potential by means of molecular dynamics simulations in the canonical (N,V,T) ensemble. The discrete nature of the…

Soft Condensed Matter · Physics 2018-11-14 Alexis Torres-Carbajal , Victor M. Trejos , Luz Adriana Nicasio-Collazo

We examine correlations of transverse particle displacements and their relationship to the shear modulus of a glass and the viscosity of a fluid. To this end we use computer simulations to calculate a correlation function of the…

Statistical Mechanics · Physics 2015-06-19 Elijah Flenner , Grzegorz Szamel

The shear stress autocorrelation function has been studied recently by molecular dynamics simulation using the 1/q^n potential for very large n. The results are analyzed and interpreted here by comparing them to the shear stress response…

Statistical Mechanics · Physics 2009-11-07 James W. Dufty

We present a mode-coupling theory for the dynamics of a tagged particle in a driven granular fluid close to the glass transition. The mean-squared displacement is shown to exhibit a plateau indicating structural arrest. In contrast to…

Statistical Mechanics · Physics 2012-11-20 Matthias Sperl , Wolf Till Kranz , Annette Zippelius

A constraint correlation dynamics up to 4-point Green's functions is proposed for SU(N) gauge theories which reduces the N-body quantum field problem to the two-body level. The resulting set of nonlinear coupled equations fulfills all…

Nuclear Theory · Physics 2009-10-22 S. J. Wang , W. Cassing , M. H. Thoma

We consider a one-dimensional gas of hard point particles in a finite box that are in thermal equilibrium and evolving under Hamiltonian dynamics. Tagged particle correlation functions of the middle particle are studied. For the special…

Statistical Mechanics · Physics 2015-06-11 Anjan Roy , Onuttom Narayan , Abhishek Dhar , Sanjib Sabhapandit
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