Breaking conjugate pairing in thermostatted billiards by magnetic field

Details Breaking conjugate pairing in thermostatted billiards by magnetic field Breaking conjugate pairing in thermostatted billiards by magnetic field

2000-06-07

arxiv.org/abs/nlin/0006010v1

Phys. Rev. E 62, 7894 (2000)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.62.7894

We demonstrate that in the thermostatted three-dimensional Lorentz gas the symmetry of the Lyapunov spectrum can be broken by adding to the system an external magnetic field not perpendicular to the electric field. For perpendicular field vectors, there is a Hamiltonian reformulation of the dynamics and the conjugate pairing rule still holds. This indicates that symmetric Lyapunov spectra has nothing to do with time reversal symmetry or reversibility; instead, it seems to be related to the existence of a Hamiltonian connection.

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