Monte Carlo methods in classical statistical mechanics

2006 ◽  
pp. 153-159 ◽  
Author(s):  
J. P. Hansen
Keyword(s):  
Monte Carlo ◽  
Statistical Mechanics ◽  
Monte Carlo Methods ◽  
Classical Statistical Mechanics

Monte Carlo Methods in Classical Statistical Mechanics

1990 ◽  
pp. 195-228
Author(s):  
Martin Schoen ◽  
Dennis J. Diestler ◽  
John H. Cushman
Keyword(s):  
Monte Carlo ◽  
Statistical Mechanics ◽  
Monte Carlo Methods ◽  
Classical Statistical Mechanics

Ensembles in Classical Statistical Mechanics

2019 ◽  
pp. 231-257
Author(s):  
Robert H. Swendsen
Keyword(s):  
Molecular Dynamics ◽  
Monte Carlo ◽  
Free Energy ◽  
Partition Function ◽  
Statistical Mechanics ◽  
Harmonic Oscillators ◽  
Canonical Partition Function ◽  
Classical Statistical Mechanics ◽  
Classical Models ◽  
The Relationship

This chapter explores more powerful methods of calculation than were seen previously. Among them are Molecular Dynamics (MD) and Monte Carlo (MC) computer simulations. Another is the canonical partition function, which is related to the Helmholtz free energy. The derivation of thermodynamic identities within statistical mechanics is illustrated by the relationship between the specific heat and the fluctuations of the energy. It is shown how the canonical ensemble allows us to integrate out the momentum variables for many classical models. The factorization of the partition function is presented as the best trick in statistical mechanics, because of its central role in solving problems. Finally, the problem of many simple harmonic oscillators is solved, both for its importance and as an illustration of the best trick.

MODELING OF A TURBULENT ETHYLENE/AIR JET FLAME USING HYBRID FINITE VOLUME/MONTE CARLO METHODS

2009 ◽  
Vol 1 (1) ◽  
pp. 37-53 ◽  
Author(s):  
Ranjan S. Mehta ◽  
Anquan Wang ◽  
Michael F. Modest ◽  
Daniel C. Haworth
Keyword(s):  
Monte Carlo ◽  
Finite Volume ◽  
Monte Carlo Methods ◽  
Jet Flame ◽  
Air Jet

Monte Carlo Methods

1991 ◽  
Author(s):  
Karl K. Sabelfeld
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Methods
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