Melting behaviour of percolating solids

Chakrabarti, B. K. ; Sen, A. K. (1990) Melting behaviour of percolating solids Journal of Physics: Condensed Matter, 2 (46). pp. 9183-9187. ISSN 0953-8984

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The authors consider the melting behaviour of randomly percolating solids and of porous solids in three dimensions. It is argued that the melting temperature Tm reaches zero (Tm(pc)=0) at the percolation point (pc) and varies near pc as Tm approximately (p-pc)tau , where tau approximately=4.0 is the elastic exponent. Similar behaviour is also predicted for melting in two dimensions. It is further proposed that the transition (for dimension d>2) becomes continuous at pc and the amount of discontinuity (e.g. in entropy Delta Sm) decreases monotonically to zero at pc where, asymptotically close to pc, a mean-field-type argument indicates that Delta Sm approximately exp(-A/(p-pc)tau-beta), where beta (approximately=0.4 in three dimensions) is the percolation order-parameter exponent.

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