Fiumara, G. and Giaquinta, Paolo V. (1994) Deposizione sequenziale random e proprietà termodinamiche di equilibrio. Accademia Peloritana dei Pericolanti Classe FF.MM.NN., LXXII (Supplement 1). pp. 503-510.
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A number of experimental situations in diverse fields such as physics, chemistry and biology can be described as processes of random sequential addition (RSA) of non-overlapping “objects” onto a volume. In the standard RSA model the objects cannot overlap and, once inserted, are clamped at their positions. This process saturates when there are no more holes large enough to fit another object.
An analitical description of this process has been obtained only for the onedimensional RSA problem (the so-called “car-parking problem”), while for higher dimensionalities one has to resort to numerical techniques.
Notwithstanding the irreversible nature of the problem, Widom [J. Chem. Phys. 44, 3888 (1966)] suggested a possible relation of the RSA “jamming” density with some characteristic density of the fluid at equilibrium (perhaps in a metastable state).
In this paper we present numerical results obtained for both lattice and continuum model systems in two dimensions. The present results, together with other independent observations [A. Baram and D. Kutasov, J. Phys A: Math. Gen. 22, L855 (1989); P. V. Giaquinta and G. Giunta, Physica A187, 145 (1992)], appear to support the alleged existence of a subtle relation between the RSA jamming density and the packing properties of the system at equilibrium.
|Subjects:||M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1994 > Supplemento 1 parte 2|
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1994 > Supplemento 1 parte 2
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1994 > Supplemento 1 parte 2
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere, Filosofia e belle Arti > 1994 > Supplemento 1 parte 2
|Depositing User:||Mr Nunzio Femminò|
|Date Deposited:||17 Apr 2014 12:21|
|Last Modified:||17 Apr 2014 12:21|
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