Entropy and phase transitions in partially ordered sets
نویسندگان
چکیده
منابع مشابه
Entropy and phase transitions in partially ordered sets
We define the entropy function S(p) = lim.-~zn -zln N(n ,p), where N(n ,p) is the number of different partial order relations definable over a set of n distinct objects, such that of the possible n ( n I )/2 pairs of objects, a fraction p are comparable. Using rigorous upper and lower bounds for S(p), we show that there exist real numbers p1 and p2; .083 < p1 ~ 1/4 and 3/8 ~ p2 < 48/49; such th...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1978
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.523869