Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-01-07
Phys. Rev. E 82, 031118 (2010)
Physics
Condensed Matter
Statistical Mechanics
11 pages, 6 figures, to appear in PRE
Scientific paper
10.1103/PhysRevE.82.031118
A new formulation of the stochastic potential switching algorithm is presented. This reformulation naturally leads us to a generalized Fourtuin-Kasteleyn representation of the partition function Z. A formula for internal energy E and that of heat capacity C are derived from derivatives of the partition function. We also derive a formula for the exchange probability in the replica exchange Monte Carlo method. By combining the formulae with the Stochastic Cutoff method, we can greatly reduce the computational time to perform internal energy and heat capacity measurements and the replica exchange Monte Carlo method in long-range interacting systems. Numerical simulations in three dimensional magnetic dipolar systems show the validity and efficiency of the method.
No associations
LandOfFree
Reformulation of the Stochastic Potential Switching Algorithm and a Generalized Fourtuin-Kasteleyn Representation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Reformulation of the Stochastic Potential Switching Algorithm and a Generalized Fourtuin-Kasteleyn Representation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reformulation of the Stochastic Potential Switching Algorithm and a Generalized Fourtuin-Kasteleyn Representation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-373116