The aim of this paper is to introduce a new technique for calculation of observables, in particular multiplicity distributions, in various statistical ensembles at finite volume. The method is based on Fourier analysis of the grand canonical partition function. Taylor expansion of the generating function is used to separate contributions to the partition function in their power in volume. We employ Laplace's asymptotic expansion to show that any equilibrium distribution of multiplicity, charge, energy, etc. tends to a multivariate normal distribution in the thermodynamic limit. Gram-Charlier expansion allows additionally for calculation of finite volume corrections. Analytical formulas are presented for inclusion of resonance decay and finite acceptance effects directly into the system partition function. This paper consolidates and extends previously published results of current investigation into properties of statistical ensembles.
Core-corona procedure and microcanonical hadronization to understand strangeness enhancement in proton-proton and heavy ion collisions in the EPOS4 framework
Microcanonical Thermostatistics, the basis for a New Thermodynamics, "heat can flow from cold to hot", and nuclear multifragmentation. The correct treatment of Phase Separation after 150 years of statistical mechanics
有限哈密顿系统的平衡统计基本上是由微正则系综（ME）描述的。正则或巨正则配分函数通过拉普拉斯变换由此推导出。只有在热力学极限下，它们才与均相系统的ME等价。因此，ME是唯一的非广泛/非均匀系统，如原子核或恒星，其中$\lim_{N\to \infty,ρ=N/V=const}$不存在。传统的正则热统计量不适用于非广延系统。这对于一般的热统计具有深远的基本和相当违反直觉的后果：一阶相变由$S(E,N,Z,...)$ \cite{gross174}的凸性发出信号。这里热容是{ \em负数}。在这些情况下，热量可以从冷流到热！热力学最初的任务，即描述热机中的沸水，现在可以处理了。这一基本特性的核统计以及一般的统计力学的基本理解的后果进行了讨论。热核实验以丰富的形式显示了所有这些新现象。将指出非均匀天体物理系统的密切相似性。\keyword{Microcanonical statistics, first order transitions, phase separation, steam engines, nuclear multifragmentation, negative heat capacity}
Phase Transitions Without Thermodynamic Limit,The Crucial Rôle of Possible and Impossible Fluctuations, The Treatment of Inhomogeneous Scenaria in the Microcanonical Ensemble
