A Master equation for the probability distribution functions of forces in soft particle packings
نویسندگان
چکیده
منابع مشابه
A master equation for the probability distribution functions of forces in soft particle packings.
We study the microscopic response of force-chain networks in jammed soft particles to quasi-static isotropic (de)compressions by molecular dynamics simulations. We show that not only contacts but also interparticle gaps between the nearest neighbors must be considered for the stochastic evolution of the probability distribution functions (PDFs) of forces, where the mutual exchange of contacts a...
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Approximate probability distributions of the master equation.
Master equations are common descriptions of mesoscopic systems. Analytical solutions to these equations can rarely be obtained. We here derive an analytical approximation of the time-dependent probability distribution of the master equation using orthogonal polynomials. The solution is given in two alternative formulations: a series with continuous and a series with discrete support, both of wh...
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ژورنال
عنوان ژورنال: Soft Matter
سال: 2015
ISSN: 1744-683X,1744-6848
DOI: 10.1039/c4sm02452d