Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-08-31
Physics
Condensed Matter
Statistical Mechanics
4 pages, 1 figure
Scientific paper
10.1103/PhysRevLett.97.250601
We use the system-plus-reservoir approach to study the dynamics of a system composed of two independent Brownian particles. We present an extension of the well-known model of a bath of oscillators which is capable of inducing an effective coupling between the two particles depending on the choice made for the spectral function of the bath oscillators. The coupling is non-linear in the variables of interest and an exponential dependence on these variables is imposed in order to guarantee the translational invariance of the model if the two particles are not subject to any external potential. The effective equations of motion for the particles are obtained by the Laplace transform method and besides recovering all the local dynamical properties for each particle we end up with an effective interaction potential between them. We explicitly analyze one of its possible forms.
Caldeira Amir O.
Duarte O. S.
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