Time-dependent friction on a charged tracer in a Brownian multicomponent plasma

From the generalized Langevin equation theory of tracer diffusion, we derive approximate analytic expressions for the dynamic friction function of a finite-sized charged tracer undergoing Brownian motion in a multicomponent ionic solution of point-like ions. We find that results such as Schurr%27s expression for the static friction of a colloidal macroion, Onsager%27s limiting law of the relaxation effect in ionic solutions, and Hess and Klein%27s result for dynamic self-friction in the Brownian one-component plasma, follow as particular cases, or limits, within well-defined approximations. © 1993.
From the generalized Langevin equation theory of tracer diffusion, we derive approximate analytic expressions for the dynamic friction function of a finite-sized charged tracer undergoing Brownian motion in a multicomponent ionic solution of point-like ions. We find that results such as Schurr's expression for the static friction of a colloidal macroion, Onsager's limiting law of the relaxation effect in ionic solutions, and Hess and Klein's result for dynamic self-friction in the Brownian one-component plasma, follow as particular cases, or limits, within well-defined approximations. © 1993.

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