Bond-Propagation Algorithm for Thermodynamic Functions in General 2D Ising Models

Details Bond-Propagation Algorithm for Thermodynamic Functions in General 2D Ising Models Bond-Propagation Algorithm for Thermodynamic Functions in General 2D Ising Models

2007-03-01

arxiv.org/abs/cond-mat/0703043v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 10 figures; submitted

Scientific paper

10.1103/PhysRevB.76.014404

Recently, we developed and implemented the bond propagation algorithm for calculating the partition function and correlation functions of random bond Ising models in two dimensions. The algorithm is the fastest available for calculating these quantities near the percolation threshold. In this paper, we show how to extend the bond propagation algorithm to directly calculate thermodynamic functions by applying the algorithm to derivatives of the partition function, and we derive explicit expressions for this transformation. We also discuss variations of the original bond propagation procedure within the larger context of Y-Delta-Y-reducibility and discuss the relation of this class of algorithm to other algorithms developed for Ising systems. We conclude with a discussion on the outlook for applying similar algorithms to other models.

Affiliated with

Also associated with

No associations

Rating

Bond-Propagation Algorithm for Thermodynamic Functions in General 2D Ising Models 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 Bond-Propagation Algorithm for Thermodynamic Functions in General 2D Ising Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bond-Propagation Algorithm for Thermodynamic Functions in General 2D Ising Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-284287