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1985•Acta Physica SinicaOpen access

TIME DEPENDENT SOLUTION OF FOKKER-PLANCK EQUATION WITH NON-LINEAR DRIFT FORCE

Gang Hu, 北京师范大学物理系

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Abstract

A new approach of the O-expansion of the Green's function is empoyed to study the time dependent problem of the Fokker-Planck equation. The scaling region and the final region in the scaling theory is unified to a single region. As t→∞ the time dependent solution approaches the stationary solution of the Fokker-Planck equation. The difficulty of matching the last two time regions in the scaling theory is then avoided.

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What this paper is about

A new approach of the O-expansion of the Green's function is empoyed to study the time dependent problem of the Fokker-Planck equation. The scaling region and the final region in the scaling theory is unified to a single region. As t→∞ the time dependent solution approaches the stationary solution of the Fokker-Planck equation. The difficulty of matching the last two time regions in the scaling theory is then avoided.

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Available abstract

A new approach of the O-expansion of the Green's function is empoyed to study the time dependent problem of the Fokker-Planck equation. The scaling region and the final region in the scaling theory is unified to a single region. As t→∞ the time dependent solution approaches the stationary solution of the Fokker-Planck equation. The difficulty of matching the last two time regions in the scaling theory is then avoided.

Key concepts: Fokker–Planck equation, Scaling, Physics, Statistical physics, Function (biology), Classical mechanics, Quantum mechanics, Partial differential equation

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