The fokker-planck equation for coupled brown-neel-rotation.

This article shows how a coupled Fokker--Planck equation can be derived on the basis of coupled Langevin equations. Two physically equivalent Fokker--Planck equations are derived and transformed by means of an appropriate series expansion into a system of ordinary differential equations, which can be solved numerically. Finally, this system is also used to specify a system of differential equations for various limiting cases (Neel, Brown, uniaxial symmetry). Generally, the system exhibits a sparsely populated matrix and can therefore be handled well numerically.
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PMID: 29235990 [PubMed - as supplied by publisher]

Source: Physics in Medicine and Biology - December 13, 2017 Category: Physics Authors: Weizenecker J Tags: Phys Med Biol Source Type: research