Fluctuations in Particle Number in a Grand Canonical Ensemble of Small Systems

1974 ◽  
Vol 42 (6) ◽  
pp. 478-481 ◽  
Author(s):  
John Stephenson
Keyword(s):  
Particle Number ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Small Systems ◽  
Grand Canonical

Classical Ensembles: Grand and Otherwise

2019 ◽  
pp. 258-265
Author(s):  
Robert H. Swendsen
Keyword(s):  
Partition Function ◽  
Particle Number ◽  
Canonical Ensemble ◽  
Ideal Gas ◽  
Grand Canonical Ensemble ◽  
Physical Situation ◽  
Canonical Partition Function ◽  
Grand Canonical Partition Function ◽  
Grand Canonical ◽  
The Ideal

The chapter introduces the grand canonical ensemble as a means of describing systems that exchange particles with a reservoir. The grand canonical partition function is defined in general and calculated for the ideal gas in particular. Other ensembles are described and their relationship to the grand canonical ensemble is shown. The physical situation described by the grand canonical ensemble is that of a system that can exchange both energy and particles with a reservoir. As usual, we assume that the reservoir is much larger than the system of interest, so that its properties are not signifficantly affected by relatively small changes in its energy or particle number.

scholarly journals Phase diagram of brittle fracture in the semi-grand-canonical ensemble

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
T. Mulla ◽  
S. Moeini ◽  
K. Ioannidou ◽  
R. J.-M. Pellenq ◽  
F.-J. Ulm
Keyword(s):  
Phase Diagram ◽  
Brittle Fracture ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Grand Canonical
Sign in / Sign up

Export Citation Format

Share Document