Particle Number Fluctuations in the Microcanonical Ensemble
V. V. Begun, M. I. Gorenstein, A. P. Kostyuk, O. S. Zozulya
Abstract
Particle number fluctuations are studied in the microcanonical ensemble. For the Boltzmann statistics we deduce exact analytical formulae for the microcanonical partition functions in the case of non-interacting massless neutral particles and charged particles with zero net charge. The particle number fluctuations are calculated and we find that in the microcanonical ensemble they are suppressed in comparison to the fluctuations in the canonical and grand canonical ensembles. This remains valid in the thermodynamic limit too, so that the well-known equivalence of all statistical ensembles refers to average quantities, but does not apply to fluctuations. In the thermodynamic limit we are able to calculate the particle number fluctuations in the system of massive bosons and fermions when the exact conservation laws of both the energy and charge are taken into account.
Create a lesson
Related papers
Parametrization of unitary matrices, parametrizing the symmetric S matrix and the NN S matrix above the inelastic threshold
N. A. Khokhlov
Thermofractal Dynamics in the Multisource Thermal Model: A Unified Approach to Multiparticle Production
Airton Deppman, Trambak Bhattacharyya, Maciej Rybczyński et al.
Electroweak Constraints on Nuclear Neutron Distributions and the Low-Energy Weak Mixing Angle
Xu-Run Huang, Tong-Gang Yue, Zhen Zhang et al.
Active-subspace learning reveals dominant parameter directions in nuclear observables
Tom Plies, Margarida Companys Franzke, Achim Schwenk
Shape coexisting intruder states in even Sn isotopes and their influence on the B4/2<1 anomaly
P. Buganu, R. Benjedi, R. Budaca
Light nucleus and hypernucleus production at RHIC and LHC energies: a comparative study of phenomenological models
J. Aichelin, A. Andronic, F. Bellini et al.