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29 March 2024
 
  » arxiv » cond-mat/0412151

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Solving the Master Equation for Extremely Long Time Scale Calculations
Hwee Kuan Lee ; Yutaka Okabe ; X. Cheng ; M. B. A. Jalil ;
Date 7 Dec 2004
Journal Comp. Phys. Comm., vol 168, 159-164 (2005)
Subject Statistical Mechanics | cond-mat.stat-mech
Affiliation Department of Physics, Tokyo Metropolitan University, Japan, Department of Electrical and Computer Engineering, National University of Singapore, Singapore
AbstractThe 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.
Source arXiv, cond-mat/0412151
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