Temperature definition for a finite number of classical spin-half particles: A canonical ensemble approach

2008 ◽  
Vol 372 (5) ◽  
pp. 574-578
Author(s):  
Q.H. Liu ◽  
X. Wang
Keyword(s):  
Finite Number ◽  
Canonical Ensemble ◽  
Classical Spin ◽  
Ensemble Approach ◽  
Temperature Definition

TEMPERATURE FLUCTUATIONS FOR FINITE CLASSICAL SPIN-HALF PARTICLES

2007 ◽  
Vol 21 (23n24) ◽  
pp. 4007-4012
Author(s):  
X. WANG ◽  
Q. H. LIU
Keyword(s):  
Finite Number ◽  
Thermodynamic Limit ◽  
Temperature Fluctuation ◽  
Particle Number ◽  
Canonical Ensemble ◽  
Temperature Fluctuations ◽  
Ensemble Theory ◽  
Classical Spin ◽  
System A ◽  
Number Of Particles

For the classical spin 1/2 system, a canonical ensemble theory for finite number of particles is developed to show that when the temperature approaches to 0K and in thermodynamic limit, the temperature fluctuation [Formula: see text] itself does not diverge, but the product of the particle number N and [Formula: see text] as [Formula: see text] does.

scholarly journals FINITE DENSITY ALGORITHM IN LATTICE QCD—A CANONICAL ENSEMBLE APPROACH

2002 ◽  
Vol 16 (14n15) ◽  
pp. 2017-2032 ◽  
Author(s):  
KEH-FEI LIU
Keyword(s):  
Monte Carlo ◽  
Lattice Qcd ◽  
Efficient Method ◽  
Chemical Potential ◽  
Canonical Ensemble ◽  
Unbiased Estimate ◽  
Baryon Number ◽  
Monte Carlo Algorithm ◽  
Finite Density ◽  
Ensemble Approach

I will review the finite density algorithm for lattice QCD based on finite chemical potential and summarize the associated difficulties. I will propose a canonical ensemble approach which projects out the finite baryon number sector from the fermion determinant. For this algorithm to work, it requires an efficient method for calculating the fermion determinant and a Monte Carlo algorithm which accommodates unbiased estimate of the probability. I shall report on the progress made along this direction with the Padé–Z2 estimator of the determinant and its implementation in the newly developed Noisy Monte Carlo algorithm.

scholarly journals Canonical ensemble approach to graded-response perceptrons

1999 ◽  
Vol 59 (3) ◽  
pp. 3386-3401 ◽  
Author(s):  
D. Bollé ◽  
R. Erichsen
Keyword(s):  
Canonical Ensemble ◽  
Ensemble Approach ◽  
Graded Response

scholarly journals Study of lattice QCD at finite chemical potential using the canonical ensemble approach

2017 ◽  
Vol 138 ◽  
pp. 02002
Author(s):  
V. G. Bornyakov ◽  
D. L. Boyda ◽  
V. A. Goy ◽  
A. V. Molochkov ◽  
Atsushi Nakamura ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Chemical Potential ◽  
Canonical Ensemble ◽  
Ensemble Approach
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