On the derivation of the generalized Langevin equation for interacting Brownian particles
β Scribed by G. Ciccotti; J -P. Ryckaert
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 458 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0022-4715
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π SIMILAR VOLUMES
It is shown that the memory function of concentration fluctuations b?(k, t), derived from the generalized Smoluchowski equation, is not a one-particle irreducible quantity. A new function M(k, t), which is one-particle irreducible, is derived and the relation between both functions is established.
The Langevin equation is derived for a system of interacting molecules by a double Fourier transformation of the Hamiltonian. The transformations are with respect to the molecular equilibrium positions and the deviations, respectively. The potential energy term is then the generator of mode interact