Exact Analytic Continuation with Respect to the Replica Number in the Discrete Random Energy Model of Finite System Size

Details Exact Analytic Continuation with Respect to the Replica Number in the Discrete Random Energy Model of Finite System Size Exact Analytic Continuation with Respect to the Replica Number in the Discrete Random Energy Model of Finite System Size

2003-10-21

arxiv.org/abs/cond-mat/0310490v2

Prog. Theor. Phys 111 (2004) 661.

Physics

Condensed Matter

Statistical Mechanics

31 pages, 8 eps figures

Scientific paper

10.1143/PTP.111.661

An expression for the moment of partition function valid for any finite system size $N$ and complex power $n (\Re(n)>0)$ is obtained for a simple spin glass model termed the {\em discrete random energy model} (DREM). We investigate the behavior of the moment in the thermodynamic limit $N \to \infty$ using this expression, and find that a phase transition occurs at a certain real replica number when the temperature is sufficiently low, directly clarifying the scenario of replica symmetry breaking of DREM in the replica number space {\em without using the replica trick}. The validity of the expression is numerically confirmed.

Affiliated with

Also associated with

No associations

Rating

Exact Analytic Continuation with Respect to the Replica Number in the Discrete Random Energy Model of Finite System Size 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 Exact Analytic Continuation with Respect to the Replica Number in the Discrete Random Energy Model of Finite System Size, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Analytic Continuation with Respect to the Replica Number in the Discrete Random Energy Model of Finite System Size will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-509684