Solving the Master Equation for Extremely Long Time Scale Calculations

Details Solving the Master Equation for Extremely Long Time Scale Calculations Solving the Master Equation for Extremely Long Time Scale Calculations

2004-12-07

arxiv.org/abs/cond-mat/0412151v1

Comp. Phys. Comm., vol 168, 159-164 (2005)

Physics

Condensed Matter

Statistical Mechanics

accepted for publication in Computer Physics and Communications

Scientific paper

10.1016/j.cpc.2004.11.006

The dynamics of magnetic reversal process plays an important role in the design of the magnetic recording devices in the long time scale limit. In addition to long time scale, microscopic effects such as the entropic effect become important in magnetic nano-scale systems. Many advanced simulation methods have been developed, but few have the ability to simulate the long time scale limit and to accurately model the microscopic effects of nano-scale systems at the same time. We develop a new Monte Carlo method for calculating the dynamics of magnetic reversal at arbitrary long time. For example, actual calculations were performed up to 1e50 Monte Carlo steps. This method is based on microscopic interactions of many constituents and the master equation for magnetic probability distribution function is solved symbolically.

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