Analysis for Thermal Influence on Coercive Force of Single Domain Particle on the Basis of Markov Process--- Another Approach for Magnetic Hysteresis Loop of Magnetic Particle without Using Master Equation

Abstract

We propose new method to analyze magnetic hysteresis loop of single domain particle with uniaxial magnetic anisotropy on the basis of the idea of discrete Markov process, without solving series of Master equations as has been usually performed. Coercive force is deduced from mean recurrence time and is found to decrease with increase in measuring time. The values of n as calculated in the equation H_c/H⁰_c =1-(V_s/V)ⁿ are found to be in good agreement with accepted results, where H_c, H⁰_c, V_s and V are coercive force, coercive force at ground state, maximum volume of magnetic particle showing superparamagnetic behavior and volume of magnetic particle, respectively.