热力学模型的正则和巨正则形式中的Specific heat和双峰性
Specific heat and bimodality in canonical and grand canonical versions of the thermodynamic model
摘要:
我们解决两个问题,在核拆卸的热力学模型。令人惊讶的是,当核系统从液-气共存过渡到纯气相时,从正则系综和巨正则系综的预测中可以看到比热结果的巨大差异。我们能够查明和理解这种差异和其他差异出现的原因。这两个模型所涉及的物理学原理有一个微妙但重要的区别。特别是,如果我们重新制定正则模型中的参数,以更好地近似巨正则模型中的物理,对观测值的计算收敛。接下来,我们转向双峰的问题,在最大的碎片的概率分布在这两个典型的和巨正则合奏。我们证明,这种分布是非常密切相关的平均多重性。讨论了双峰分布与相变的关系。
英文摘要:
We address two issues in the thermodynamic model for nuclear disassembly. Surprisingly large differences in results for specific heat were seen in predictions from the canonical and grand canonical ensembles when the nuclear system passes from liquid-gas co-existence to the pure gas phase. We are able to pinpoint and understand the reasons for such and other discrepancies when they appear. There is a subtle but important difference in the physics addressed in the two models. In particular if we reformulate the parameters in the canonical model to better approximate the physics addressed in the grand canonical model, calculations for observables converge. Next we turn to the issue of bimodality in the probability distribution of the largest fragment in both canonical and grand canonical ensembles. We demonstrate that this distribution is very closely related to average multiplicities. The relationship of the bimodal distribution to phase transition is discussed.
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