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We present a theoretical argument to derive a scaling law between the mean translocation time $\tau$ and the chain length $N$ for driven polymer translocation. This scaling law explicitly takes into account the pore-polymer interactions,…

Soft Condensed Matter · Physics 2013-10-29 Timo Ikonen , Aniket Bhattacharya , Tapio Ala-Nissila , Wokyung Sung

We study a two-dimensional granular system where external driving force is applied to each particle in the system in such a way that the system is driven into a steady state by balancing the energy input and the dissipation due to inelastic…

Statistical Mechanics · Physics 2009-10-30 Gongwen Peng , Takao Ohta

The diffusivity of tagged particles is demonstrated to be heterogeneous on time scales comparable to or less than the structural relaxation time %taking place at the interparticle distance in a highly supercooled liquid via 3D molecular…

Soft Condensed Matter · Physics 2009-10-31 Ryoichi Yamamoto , Akira Onuki

The real time evolution of field condensates with soft length scales k^{-1}>(eT)^{-1} is solved in hot scalar electrodynamics, with a view towards understanding relaxational phenomena in the QGP and the electroweak plasma. We find that…

High Energy Physics - Phenomenology · Physics 2011-04-15 Daniel Boyanovsky , Hector J. de Vega , Richard Holman , S. Prem Kumar , Robert D. Pisarski

In the framework of the concept of time correlation functions, we develop a self-consistent relaxation theory of the transverse collective particle dynamics in liquids. The theory agrees with well-known results in both the short-wave (free…

Soft Condensed Matter · Physics 2021-03-11 A. V. Mokshin , R. M. Khusnutdinoff , Ya. Z. Vilf , B. N. Galimzyanov

The transport equation of active motion is generalised to consider time-fractional dynamics for describing the anomalous diffusion of self-propelled particles observed in many different systems. In the present study, we consider an…

Statistical Mechanics · Physics 2023-10-27 Francisco J. Sevilla , Guillermo Chacón-Acosta , Trifce Sandev

For a quantum system in a steady state with a constant current of heat or particles driven by a temperature or chemical potential difference between two reservoirs attached to the system, the fluctuation theorem for the current was…

Statistical Mechanics · Physics 2015-06-04 Hiroshi Matsuoka

In this work, we analytically examine the validity of molecular dynamics for a soft potential system by considering a simple one-dimensional system with a piecewise continuous linear repulsive potential wall having a constant slope $a$. We…

Computational Physics · Physics 2015-06-12 Sangrak Kim

We investigate the time evolution of a model system of interacting particles, moving in a $d$-dimensional torus. The microscopic dynamics are first order in time with velocities set equal to the negative gradient of a potential energy term…

Statistical Mechanics · Physics 2018-02-12 Paolo Butta` , Joel L. Lebowitz

Time-dependent properties of the speckled intensity patterns created by scattering coherent radiation from materials undergoing spinodal decomposition are investigated by numerical integration of the Cahn-Hilliard-Cook equation. For binary…

Statistical Mechanics · Physics 2009-10-31 Gregory Brown , Per Arne Rikvold , Mark Sutton , Martin Grant

We study general aspects of active motion with fluctuations in the speed and the direction of motion in two dimensions. We consider the case in which fluctuations in the speed are not correlated to fluctuations in the direction of motion,…

Biological Physics · Physics 2009-11-13 Fernando Peruani , Luis G. Morelli

Motivated by the simple models of molecular motor obeying a linear force-velocity relation, we have studied the stochastic dynamics of a Brownian particle in the presence of a linear velocity dependent force, $f_s(1-\frac{v}{v_0})$ where…

Statistical Mechanics · Physics 2021-08-19 Arsha N , Shabina S , Mamata Sahoo

Molecular dynamics computer simulation has been used to compute the self-diffusion coefficient, and shear viscosity of soft-sphere fluids, in which the particles interact through the soft-sphere or inverse power pair potential. The…

Soft Condensed Matter · Physics 2010-03-22 Yu. D. Fomin , V. V. Brazhkin , V. N. Ryzhov

We perform molecular dynamics simulation on a glass-forming liquid binary mixture with the soft-core potential in three dimensions. We investigate crossover of the configuration changes caused by stringlike jump motions. With lowering the…

Soft Condensed Matter · Physics 2015-06-11 Takeshi Kawasaki , Akira Onuki

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…

Nuclear Theory · Physics 2017-05-24 Christopher Zin , Sean Gavin , George Moschelli

Short-time dynamics and high-frequency rheology for suspensions of non-overlapping core-shell particles with thin shells were analyzed. In the thin-shell limit, the single-particle scattering coefficients were derived and shown to define a…

Soft Condensed Matter · Physics 2012-08-08 Bogdan Cichocki , Maria L. Ekiel-Jezewska , Eligiusz Wajnryb

A central aim of statistical mechanics is to establish connections between a system's microscopic fluctuations and its macroscopic response to a perturbation. For non-equilibrium transport properties, this amounts to establishing Green-Kubo…

Statistical Mechanics · Physics 2024-11-28 Anna T. Bui , Stephen J. Cox

We obtain self-similar solutions that describe the dynamics of a self-gravitating, rotating, viscous system. We use simplifying assumptions; but explicitly include viscosity and the cooling due to the dissipation of energy. By assuming that…

Astrophysics · Physics 2009-11-07 Mohsen Shadmehri , Jamshid Ghanbari

We present a generalization of the Green-Kubo expressions for thermal transport coefficients $\mu$ in complex fluids of the generic form, $\mu= \mu_\infty +\int^\infty_0 dt V^{-1} < J_\epsilon \exp(t {\cal L}) J >_0$, i.e. a sum of an…

Statistical Mechanics · Physics 2007-05-23 M. H. Ernst , R. Brito

We introduce a generalized homogeneous function to describe the joint probability density for magnitude and duration of events in self-organized critical systems (SOC). It follows that the cumulative distributions of magnitude and of…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 J. Feder , H. Nordhagen , W. A. Watters