Is Einstein's relation D = kTU always true?

Details Is Einstein's relation D = kTU always true? Is Einstein's relation D = kTU always true?

2010-04-10

arxiv.org/abs/1004.1717v4

Ann. Univ. Sofia, Fac. Chem. 89 (1997) 39-45

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

The validity of Einstein's fluctuation-dissipation relation is discussed in respect to the type of relaxation in an isothermal system. The first model, presuming isothermic fluctuations, leads to the Einstein formula. The second model supposes adiabatic fluctuations and yields another relation between the diffusion coefficient and mobility of a Brownian particle. A new approach to relaxations in quantum systems is also proposed that demonstrates applicability only of the adiabatic model for description of the quantum Brownian dynamics.

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