Criterion for Dominance of Directional over Size Fluctuations in Destroying Order
Abstract
For systems exhibiting a second-order phase transition with a spontaneously broken continuous O(N)-symmetry at low temperature, we give a criterion for judging at which temperature TK long-range directional fluctuations of the order field destroy the order when approaching the critical temperature from below. The temperature TK lies always significantly below the famous Ginzburg temperature TG at which size fluctuations of finite range in the order field become important.
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