Physics
Scientific paper
Apr 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011njph...13d3023b&link_type=abstract
New Journal of Physics, Volume 13, Issue 4, pp. 043023 (2011).
Physics
3
Scientific paper
We find the non-retarded van der Waals force between two identical oscillators, in initially uncorrelated mixed states appropriate for a common temperature T and mean energy \skew3\bar{E} , constrained to move at constant relative velocity on parallel trajectories a fixed finite distance apart. It is shown that the probability distributions of their final states, although correlated, are also thermal; they are appropriate for a slightly higher temperature T+ΔT, with \Delta\skew3\bar{E} proportional to \skew3\bar{E} . Negative friction, i.e. negative \Delta\skew3\bar{E} , could occur only under conditions where the underlying constraints no longer make physical sense. A crude multi-oscillator multi-collision toy model explores how the temperature might rise with time in a sequence of dynamically similar collisions. An appendix considers conflicting solutions proposed for the same problem.
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