2005/07/12 by K. A. Bugaev, Kyrill A. Bugaev, Bugaev, Kyrill A. · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Engineering Diagnostics and Reliability #FOS: Physical sciences #Material Properties and Failure Mechanisms #Nuclear Theory (nucl-th) #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0507028
7 pages, 2 figures
arxiv created 2005/07/12 · openalex publication_date 2005/07/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss an exact analytical solution of a simplified version of the statistical multifragmentation model with the restriction that the largest fragment size cannot exceed the finite volume of the system. A complete analysis of the isobaric partition singularities of this model is done for finite volumes. It is shown that the real part of any simple pole of the isobaric partition defines the free energy of the corresponding state, whereas its imaginary part, depending on the sign, defines the inverse decay/formation time of this state. The developed formalism allows us, for the first time, to exactly define the finite volume analogs of gaseous, liquid and mixed phases of this model from the first principles of statistical mechanics and demonstrate the pitfalls of earlier works. The finite size effects for large fragments and the role of metastable (unstable) states are discussed.