Porosity for the penetrable-concentric-shell model of two-phase disordered media: Computer simulation results
نویسنده
چکیده
Computer-simulation results are reported for the porosity of a model of two-phase random media composed of identical D-dimensional spheres (D = 2 or 3) distributed with an arbitrary degree of impenetrability A., 0<,1 < 1; A. = 0 corresponding to randomly centered or "fully penetrable" particles and A. = 1 corresponding to totally impenetrable particles. We specifically consider the D-dimensional penetrable-concentric-shell model in which each sphere of diameter u is composed of a mutually impenetrable core of diameter A.U, encompassed by a perfectly penetrable concentric shell of thickness (1 A.) u /2. We develop two independent techniques to sample for the porosity. Simulation results agree with known exact results for the extreme limits of A. = 0 and A. = 1 up to three significant figures. The results for intermediate A. are new and compare favorably with approximate analytical expressions obtained by Rikvold and Stell.
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