Area versus length distribution for closed random walks
نویسندگان
چکیده
منابع مشابه
Area versus length distribution for closed random walks
Using a connection between the q-oscillator algebra and the coefficients of the high temperature expansion of the frustrated Gaussian spin model, we derive an exact formula for the number of closed random walks of given length and area, on a hypercubic lattice, in the limit of infinite number of dimensions. The formula is investigated in detail, and asymptotic behaviours are evaluated. The area...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2003
ISSN: 0305-4470
DOI: 10.1088/0305-4470/36/6/301