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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Cluster growth poised on the edge of break-up, II: From reaction kinetics to thermodynamics
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Cluster growth poised on the edge of break-up, II: From reaction kinetics to thermodynamics

机译:团簇生长蓄势待发,二:从反应动力学到热力学

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摘要

The cluster size distributions of power-law form n(s) proportional to s(-tau) with small exponents 0 < tau < 1 are ubiquitous in many naturally occurring growth processes, where one may expect that aggregation driven cluster growth is poised on the edge of cluster break-up. We propose here a statistical thermodynamics description Of Such a growth process governed by size dependent aggregation and break-Up rates of form s(alpha) with 0 < alpha < 2. By using the maximum entropy method the energy levels and statistical ensemble corresponding the kinetic model are deduced and alpha is identified as the inverse of thermodynamic temperature, conjugated in the standard way to the total energy E of the system. In addition, the macroscopic free energy F, the entropy S and the heat capacity C are derived. The thermodynamic behavior of the system strongly suggests that at alpha approximate to 1 there is a phase transition in growth.
机译:幂律形式n(s)的簇大小分布与s(-tau)成正比,且指数小0

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