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We reply to the comment of Becker, Nelissen, Cleuren, Partoens, and Van den Broeck, Phys. Rev. E 93, 046101 (2016) on our article, Phys. Rev. E 90, 052108 (2014) about transport properties of a class of generalized exclusion processes.

统计力学 · 物理学 2016-07-19 Chikashi Arita , P. L. Krapivsky , Kirone Mallick

A class of generalized exclusion processes parametrized by the maximal occupancy, $k\geq 1$, is investigated. For these processes with symmetric nearest-neighbor hopping, we compute the diffusion coefficient and show that it is independent…

统计力学 · 物理学 2014-11-14 Chikashi Arita , P. L. Krapivsky , Kirone Mallick

Describing particle transport at the macroscopic or mesoscopic level in non-ideal environments poses fundamental theoretical challenges in domains ranging from inter and intra-cellular transport in biology to diffusion in porous media. Yet,…

统计力学 · 物理学 2013-09-11 Marta Galanti , Duccio Fanelli , Francesco Piazza

We consider the correlations and the hydrodynamic description of random walkers with a general finite memory moving on a $d$ dimensional hypercubic lattice. We derive a drift-diffusion equation and identify a memory-dependent critical…

统计力学 · 物理学 2020-01-29 Eial Teomy , Ralf Metzler

The hard-disk model plays a role of touchstone for testing and developing the transport theory. By large scale molecular dynamics simulations of this model, three important autocorrelation functions, and as a result the corresponding…

统计力学 · 物理学 2016-05-24 Hanqing Zhao , Hong Zhao

We review the recent advances on exact results for dynamical correlation functions at large scales and related transport coefficients in interacting integrable models. We discuss Drude weights, conductivity and diffusion constants, as well…

统计力学 · 物理学 2022-01-26 Jacopo De Nardis , Benjamin Doyon , Marko Medenjak , Miłosz Panfil

We obtain hydrodynamic descriptions of a broad class of conserved-mass transport processes on a ring. These processes are governed by chipping, diffusion and coalescence of masses, where microscopic probability weights in their…

统计力学 · 物理学 2017-07-06 Arghya Das , Anupam Kundu , Punyabrata Pradhan

Excluded-volume effects can play an important role in determining transport properties in diffusion of particles. Here, the diffusion of finite-sized hard-core interacting particles in two or three dimensions is considered systematically…

偏微分方程分析 · 数学 2012-01-06 Maria Bruna , S. Jonathan Chapman

Diffusive transport is a universal phenomenon, throughout both biological and physical sciences, and models of diffusion are routinely used to interrogate diffusion-driven processes. However, most models neglect to take into account the…

定量方法 · 定量生物学 2015-10-28 Paul R. Taylor , Christian A. Yates , Matthew J. Simpson , Ruth E. Baker

We present a hydrodynamic theory describing pair diffusion in systems with periodic boundary conditions, thereby generalizing earlier work on self-diffusion [D\"unweg and Kremer, J. Chem. Phys. 1993, 99, 6983-6997; Yeh and Hummer, J. Phys.…

软凝聚态物质 · 物理学 2023-05-03 Diddo Diddens , Andreas Heuer

We introduce and study a family of cooperative exclusion processes whose microscopic dynamics is governed by selective kinetic constraints. They display, in sharp contrast to the simple symmetric exclusion process, density profiles that can…

统计力学 · 物理学 2019-11-27 Mauro Sellitto

Detailed calculations of the transport coefficients of a recently introduced particle-based model for fluid dynamics with a non-ideal equation of state are presented. Excluded volume interactions are modeled by means of biased stochastic…

软凝聚态物质 · 物理学 2010-12-06 Thomas Ihle

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two indistinguishable fluids. The enhancement of the diffusive transport depends on the system size L and grows…

介观与纳米尺度物理 · 物理学 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

Current fluctuations in boundary-driven diffusive systems are, in many cases, studied using hydrodynamic theories. Their predictions are then expected to be valid for currents which scale inversely with the system size. To study this…

统计力学 · 物理学 2016-05-26 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

A recently developed non-linear fluctuating hydrodynamics theory has been quite successful in describing various features of anomalous energy transport. However the diffusion and the noise terms present in this theory are not derived from…

统计力学 · 物理学 2019-01-23 Asaf Miron , Julien Cividini , Anupam Kundu , David Mukamel

A study of the transport coefficients of a system of elastic hard disks, based on the use of Helfand-Einstein expressions is reported. The self-diffusion, the viscosity, and the heat conductivity are examined with averaging techniques…

统计力学 · 物理学 2016-08-16 Ramón García-Rojo , Stefan Luding , J. Javier Brey

Employing time-dependent projection formalism, a Fokker-Planck equation with non-Markovian transport coefficients is derived for large amplitude collective motion. Properties of transport coefficients for diffusion processes in a potential…

核理论 · 物理学 2007-05-23 Noboru Takigawa , Sakir Ayik , Sachie Kimura

Systems are studied in which transport is possible due to large extension with open boundaries in certain directions but the particles responsible for transport can disappear from it by leaving it in other directions, by chemical reaction…

chao-dyn · 物理学 2008-02-03 Z. Kaufmann

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

无序系统与神经网络 · 物理学 2018-02-14 S. V. Novikov

The aim of this paper is to discuss the appropriate modelling of in- and outflow boundary conditions for nonlinear drift-diffusion models for the transport of particles including size exclusion and their effect on the behaviour of…

偏微分方程分析 · 数学 2016-11-03 Martin Burger , Jan-Frederik Pietschmann
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