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Maximum-entropy approach to classical hard-sphere and hard-disk equations of state (1991)

Wang, D. ; Mead, L. R. ; de Llano, M.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 32 (1991), S. 2258-2262

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: The maximum-entropy procedure for extrapolating series is applied to sum the known virial series for the hard-disk and hard-sphere fluids. This procedure is found to produce numerical results more accurate than Padé approximants, and it agrees with Monte Carlo simulations of these systems. The maximum-entropy results extrapolate the series smoothly to densities arbitrarily near to maximum close packing, and predict no singularities whatsoever.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.529200

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