| Issue |
Europhys. Lett.
Volume 50, Number 5, June I 2000
|
|
|---|---|---|
| Page(s) | 628 - 634 | |
| Section | Condensed matter: structure, mechanical and thermal properties | |
| DOI | https://doi.org/10.1209/epl/i2000-00316-7 | |
| Published online | 01 September 2002 | |
The structure of Langevin's memory kernel from Lagrangian dynamics
Raymond and Beverly Sackler Faculty of Exact Sciences
School of Physics and Astronomy
Tel Aviv University, Ramat Aviv, 69978, Israel
Received:
30
June
1999
Accepted:
30
March
2000
We obtain the memory kernel of the generalized Langevin equation,
describing a particle interacting with longitudinal phonons in a
liquid. The kernel is obtained analytically at 
and
numerically at 
. We find that it shows some non-trivial
structural features like negative correlations for some range of time
separations. The system is shown to have three characteristic time
scales, that control the shape of the kernel, and the transition between
quadratic and linear behavior of the mean squared distance (MSD).
Although the derivation of the structure in the memory kernel is
obtained within a specific dynamical model, the phenomenon is shown to
be quite generic.
PACS: 66.10.Cb – Diffusion and thermal diffusion / 45.50.-j – Dynamics and kinematics of a particle and a system of particles
© EDP Sciences, 2000
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