2018/05/31 by Volodymyr Vovchenko, M. I. Gorenstein, Mark I. Gorenstein +1 · 18 citations
Mathematics · Physics and Astronomy · #Canonical ensemble #Finite volume method #Grand canonical ensemble #Hadron #High-Energy Particle Collisions Research #Mathematics #Microcanonical ensemble #Monte Carlo method #Nuclear physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Sampling (signal processing) #Statistical physics #Statistics #Volume (thermodynamics) #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.98.064909
published in Physical Review C 98(6) (American Institute of Physics) · 29 pages, 5 figures. To be published in Physical Review C
arxiv created 2018/12/17 · openalex publication_date 2018/12/26 · arxiv updated 2019/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Monte Carlo (MC) procedure for sampling the hadron yields within the hadron resonance gas (HRG) model is presented. The effects of excluded volume due to the finite hadron eigenvolumes and of exact charge conservation within the canonical ensemble (CE) formulation are simultaneously taken into account with the help of the importance sampling technique combined with the rejection sampling. The MC procedure allows one to calculate arbitrary moments of the event-by-event hadron yields. Note that the CE formulation for the excluded-volume HRG has not been considered before. The MC simulations coincide with the known analytic results in the thermodynamic limit for the excluded-volume HRG in the grand canonical ensemble and for the CE of noninteracting particles. The MC procedure is applied to study the simultaneous excluded-volume and CE effects. These effects are considered within the full HRG to calculate the particle number fluctuations and to estimate the finite-size effects.