TWO-DIMENSIONAL LIMIT THEOREM FOR THE PARTICLE NUMBER AND ENERGY IN THE GRAND CANONICAL ENSEMBLE

1970 ◽  
Vol 4 (5) ◽  
pp. 1183-1202 ◽  
Author(s):  
R A Minlos ◽  
A M Halfina
Keyword(s):  
Limit Theorem ◽  
Particle Number ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Two Dimensional ◽  
Grand Canonical

Microscopic View of a Two-Dimensional Lattice-Gas Ising System within the Grand Canonical Ensemble

2000 ◽  
Vol 84 (18) ◽  
pp. 4152-4155 ◽  
Author(s):  
V. P. LaBella ◽  
D. W. Bullock ◽  
M. Anser ◽  
Z. Ding ◽  
C. Emery ◽  
...  
Keyword(s):  
Lattice Gas ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
Ising System ◽  
Grand Canonical

Two-dimensional Janus-like particles on a triangular lattice

Soft Matter ◽  
2020 ◽  
Vol 16 (28) ◽  
pp. 6633-6642
Author(s):  
A. Patrykiejew ◽  
W. Rżysko
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Triangular Lattice ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Dimensional System ◽  
Two Dimensional ◽  
The Monte Carlo Method ◽  
Two Dimensional System ◽  
Grand Canonical

We have studied the phase behavior of a two-dimensional system of Janus-like particles on a triangular lattice using the Monte Carlo method in a grand canonical ensemble.

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
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