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Titlebook: Generalized Statistical Thermodynamics; Thermodynamics of Pr Themis Matsoukas Book 2018 Springer Nature Switzerland AG 2018 statistical the

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https://doi.org/10.1007/978-3-030-04149-6statistical thermodynamics; population balances; The Giant Cluster; thermodynamics of continuous distri
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Contemporary Topics in Polymer ScienceIf we increase the size of the cluster ensemble at fixed mean, the ensemble becomes a container of every possible cluster distributions . with fixed mean. We call this . and define it by the condition
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New Phosphorus-Containing Bisimide Resins,The cluster ensemble is inherently discrete but when the characteristic cluster size is much larger than the unit of the ensemble, the MPD may be treated as a continuous variable. We define the continuous limit by the condition
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Thermodynamic Limit (ThL),If we increase the size of the cluster ensemble at fixed mean, the ensemble becomes a container of every possible cluster distributions . with fixed mean. We call this . and define it by the condition
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The Most Probable Distribution in the Continuous Limit,The cluster ensemble is inherently discrete but when the characteristic cluster size is much larger than the unit of the ensemble, the MPD may be treated as a continuous variable. We define the continuous limit by the condition
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Fragmentation and Shattering,Binary fragmentation is the reverse process of binary aggregation: a cluster with . monomers splits into two clusters with masses . and . − . such that 1 ≤ . ≤ . − 1. This is represented schematically by the irreversible mass-conserving reaction
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