Speculations on self-avoiding surfaces in fractals - a mean field treatment

Pandey, R. B. ; Kumar, N. ; Stauffer, D. (1984) Speculations on self-avoiding surfaces in fractals - a mean field treatment Journal of Physics A: Mathematical and General, 17 (15). L859-L861. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/17/15/008

Related URL: http://dx.doi.org/10.1088/0305-4470/17/15/008

Abstract

The authors estimate the exponents characterising the self-avoiding surfaces using an approximation in the framework of a Flory-type theory. They find for planar self-avoiding surfaces embedded randomly in a fractal of dimensionality D': nu =3/(4+D'); for random surfaces of fractal dimension D embedded in a Euclidean space of dimensionality d: nu =3/(2D+d-2); and for fractal surfaces embedded in a structure of fractal dimensionality D': nu =3/(2D+D'-2).

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Deposited On:29 Feb 2012 13:38
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