Multi-dimensional Density of States by Multicanonical Monte Carlo

Details Multi-dimensional Density of States by Multicanonical Monte Carlo Multi-dimensional Density of States by Multicanonical Monte Carlo

2004-07-15

arxiv.org/abs/cond-mat/0407396v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Presented at SPDSA 2004, Hayama, Japan

Scientific paper

10.1143/PTPS.157.345

Multi-dimensional density of states provides a useful description of complex frustrated systems. Recent advances in Monte Carlo methods enable efficient calculation of the density of states and related quantities, which renew the interest in them. Here we calculate density of states on the plane (energy, magnetization) for an Ising Model with three-spin interactions on a random sparse network, which is a system of current interest both in physics of glassy systems and in the theory of error-correcting codes. Multicanonical Monte Carlo algorithm is successfully applied, and the shape of densities and its dependence on the degree of frustration is revealed. Efficiency of multicanonical Monte Carlo is also discussed with the shape of a projection of the distribution simulated by the algorithm.

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