Open AccessFluctuation effects of thermodynamic variables in particle-spilling-from-well model with single potential well
Author(s) -
Xuejun Zhang,
Jian Rao,
Deng Yang-Bao,
Jiang Lian-jun,
Ye Tian
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.193601
Subject(s) - particle (ecology) , thermodynamics , particle number , thermodynamic potential , inverse , physics , statistical physics , thermodynamic state , volume (thermodynamics) , material properties , mathematics , oceanography , geometry , geology
Under ergodic condition, the analytic expressions for the fluctuations of temperature and particle number in the well of a system are obtained rigorously in particle-spilling-from-well model by means of integration approaches in phase space; the relationships among fluctuations of thermodynamic variables, the total particle numbers, and the well volume are emphasized. Results show that the less the total number of particles and the smaller the well's volume, the more remarkable the thermodynamic fluctuations effect, and the more closely the thermodynamic fluctuations related to the particle spilling from the well. There is a one to one correspondence between particle spilling from the well and the occurrence of negative specific heat, and the huge thermodynamic fluctuations,as well as, the origin of this phenomenon can be understood by the apparent energy inverse partition.