caa a22 4500 467891664 CHVBK 20180406152751.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s10955-006-9032-z doi (NATIONALLICENCE)springer-10.1007/s10955-006-9032-z A Novel Ensemble in Statistical Physics [Elektronische Daten] [Igor Volkov, Jayanth Banavar, Amos Maritan] We present a theoretical model of a statistical ensemble, in which, unlike in conventional physics, the total number of particles and the energy are not fixed but bounded. It is shown that the temperature and the chemical potential play a dual role: they determine the average energy and the population of the levels in the system and at the same time they act as an imbalance between the energy and population ceilings and the corresponding average values. Different types of statistics (Boltzmann, Bose-Einstein, Fermi-Dirac and one corresponding to the description of a simple ecosystem) are considered. In all cases, we show that the systems may undergo a first or a second order phase transition akin to Bose-Einstein condensation for a non-interacting gas. We discuss numerical schemes for studying the new ensemble. The results of simulations are found to be in excellent agreement with theory. Springer Science + Business Media, Inc., 2006 Statistical ensemble nationallicence ecology nationallicence Volkov Igor Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, 16802, University Park, PA, USA aut Banavar Jayanth Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, 16802, University Park, PA, USA aut Maritan Amos Dipartimento di Fisica G. Galilei, Università di Padova, via Marzolo 8, I-35131, Padova, Italy aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/1(2006-04-01), 167-180 0022-4715 123:1<167 2006 123 10955 https://doi.org/10.1007/s10955-006-9032-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9032-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Volkov Igor Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, 16802, University Park, PA, USA aut NATIONALLICENCE 700 1- Banavar Jayanth Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, 16802, University Park, PA, USA aut NATIONALLICENCE 700 1- Maritan Amos Dipartimento di Fisica G. Galilei, Università di Padova, via Marzolo 8, I-35131, Padova, Italy aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/1(2006-04-01), 167-180 0022-4715 123:1<167 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer