Accelerating Consensus by Preferential Words in the Naming Game

The naming game is a model of nonequilibrium dynamics for the self-organized emergence of a language or a communication system. We study a modified version of the minimal naming game in which the speaker selects a word from its inventory with a probability proportional to exp（Rs ＊ α）, where Rs is the success ratio of the name and α is a tunable parameter. By investigating the effects of α on the evolutionary processes for both square lattice and scale-free networks, we find that the convergence time decreases with the increasing α on both two networks, which indicates that preferential selection of successful words can accelerate the reaching of consensus. More interestingly, for α 〉 0, we find that the relation between convergence time and α exhibits a power-law form.     

“ 用油膜法估测分子大小”改编题型中的科学性错误

“ 用油膜法估测分子大小”可以把油酸分子简化为球形, 测出油膜的厚度d, 就认为是油酸分子的直径, 这只是在估测油酸分子大小的数量级时的简化处理, 而对于其直径数值的估算, 偏差是非常大的, 通过下面的几个 例子可以看出, 我们不应该将这种简化的模型来处理更多的计算, 特别是对基本物理学常数 — — — 阿伏伽德罗常数 的计算