Critical Exponents of the Statistical Multifragmentation Model

Abstract

For the statistical multifragmentation model the critical indices ${\alpha }^{\prime },\beta ,{\gamma }^{\prime },\delta$ are calculated as functions of the Fisher parameter $\tau$. It is found that these indices have different values than in Fisher's droplet model. Some peculiarities of the scaling relations are discussed. The basic model predicts for the index $\tau$ a narrow range of values, $1.799<\tau <1.846$, which is consistent with two experiments on nuclear multifragmentation.

Comments: minor changes of the text, four references added