Admissibility of transition from the Smolukhovskii integral equation to the Einstein-Fokker-Planck differential equation

Journal Article · Wed Apr 01 00:00:00 EST 1987 · Sov. Phys. J. (Engl. Transl.); (United States)

OSTI ID:5182875

Airapetyan, Yu N; Airapetyan, V N

For Markov processes the authors consider limits for the growth rate of the probability density w(t/sub o/, x/sub o/; t, x) of the transition from state x/sub o/ at time t/sub o/ to states for which x lies between x and x + dx at time t. These limits follow from the condition of admissibility of transition from the Smolukhovskii integral equation to the Einstein-Fokker-Planck differential equation (EFP). They examine the influence of these limits on the form of the coefficients in EFT. The indicated examination is performed for the prelimit region as well, that is, the region at the end of which they have w(t/sub o/, x/sub o/; t, x) identical to 0

• Research Organization: Erevan State Univ. (USSR)
• OSTI ID: 5182875
• Journal Information: Sov. Phys. J. (Engl. Transl.); (United States), Vol. 29:10; Other Information: Translated from Izv. Vyssh. Uchebn. Zaved., Fiz.; 29: No. 10, 99-104(Oct 1986)
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
INSTABILITY GROWTH RATES
FOKKER-PLANCK EQUATION
MARKOV PROCESS
BOUNDARY CONDITIONS
ENERGY-LEVEL TRANSITIONS
INTEGRAL EQUATIONS
PLASMA INSTABILITY
PLASMA SIMULATION
PROBABILITY
STATISTICAL MECHANICS
DIFFERENTIAL EQUATIONS
EQUATIONS
INSTABILITY
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
STOCHASTIC PROCESSES
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics