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原文連結
論文資訊
- 類型：已發表論文
- 日期：2013-10-21
摘要
Consider a dynamical many-body system with a random initial state subsequently evolving through 隨機 dynamics. What is the relative importance of the initial state ("nature") versus the realization of the 隨機 dynamics ("nurture") in predicting the final state? We examined this question for the two-dimensional Ising ferromagnet following an initial deep quench from T = infinity to T = 0. We performed 蒙地卡羅 studies on the overlap between "identical twins" raised in independent dynamical environments, up to size L = 500. Our results suggest an overlap decaying with time as t (theta)(h) with theta(h) = 0.22 +/- 0.02; the same exponent holds for a quench to low but nonzero temperature. This "heritability exponent" may equal the persistence exponent for the two-dimensional Ising ferromagnet, but the
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