Evolution equation for tagged-particle density and correlations in single-file diffusion

Gonzalo Su´arez; Miguel Hoyuelos; H´ector O. M´artin

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Evolution equation for tagged-particle density and correlations in single-file diffusion

机译：单文件扩散中带标签粒子密度及其相关性的演化方程

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We derive and study a theoretical description for single-file diffusion, i.e., diffusion in a one-dimensionalnlattice of particles with hard core interaction. It is well known that for this system a tagged particle has anomalousndiffusion for long times. The novelty of the present approach is that it allows for the derivation of correlationsnbetween a tagged particle and other particles of the system at a given distance with empty sites in between.nThe behavior of the correlation gives deeper insights into the processes involved. The numerical integration ofndifferential equations are in good agreement with Monte Carlo simulations.

机译：我们导出并研究了单文件扩散（即具有硬核相互作用的粒子的一维晶格中的扩散）的理论描述。众所周知，对于该系统，标记的颗粒长时间具有异常扩散。本方法的新颖之处在于，它允许在给定距离的系统中，标记的粒子与系统的其他粒子之间以空位之间的相关性进行推导。n的相关行为为所涉及的过程提供了更深入的见解。微分方程的数值积分与蒙特卡洛模拟非常吻合。

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《PHYSICAL REVIEW E》 |2013年第2期|1-7|共7页
作者
Gonzalo Su´arez; Miguel Hoyuelos; H´ector O. M´artin;
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Departamento de F´ısica Facultad de Ciencias Exactas y Naturales Universidad Nacional de Mar del Plata and Instituto de InvestigacionesF´ısicas de Mar del Plata (Consejo Nacional de Investigaciones Cient´ıficas y T´ecnicas) Funes 3350 7600 Mar del Plata Argentina;

Departamento de F´ısica Facultad de Ciencias Exactas y Naturales Universidad Nacional de Mar del Plata and Instituto de InvestigacionesF´ısicas de Mar del Plata (Consejo Nacional de Investigaciones Cient´ıficas y T´ecnicas) Funes 3350 7600 Mar del Plata Argentina;

Departamento de F´ısica Facultad de Ciencias Exactas y Naturales Universidad Nacional de Mar del Plata and Instituto de InvestigacionesF´ısicas de Mar del Plata (Consejo Nacional de Investigaciones Cient´ıficas y T´ecnicas) Funes 3350 7600 Mar del Plata Argentina;

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Evolution equation for tagged-particle density and correlations in single-file diffusion

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