08-23 P. Lafitte, P. E. Parris, S. De Bievre
Normal transport properties for a classical particle coupled to a non-Ohmic bath (586K, pdf) Feb 5, 08
Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. We study the Hamiltonian motion of an ensemble of unconfined classical particles driven by an external field $F$ through a translationally-invariant, thermal array of \emph{monochromatic} Einstein oscillators. The system does not sustain a stationary state, because the oscillators cannot effectively absorb the energy of high speed particles. We nonetheless show that the system has at all positive temperatures a well-defined low-field mobility $\mu$ over macroscopic time scales of order $\exp(-c/F)$. The mobility is independent of $F$ at low fields, and related to the zero-field diffusion constant $D$ through the Einstein relation. The system therefore exhibits normal transport even though the bath obviously has a discrete frequency spectrum (it is simply monochromatic) and is therefore highly non-Ohmic. Such features are usually associated with anomalous transport properties.

Files: 08-23.src( 08-23.keywords , LDPJsubmit.pdf.mm )