Nonlinear magnetoconductance of a classical ballistic system

We study nonlinear transport through a classical ballistic system accounting for the Coulomb interaction between electrons. The joint effect of the applied bias V and magnetic field H on the electron trajectories results in a component of the nonlinear current I(V,H) which lacks the H ->-H symmetry: delta I=alpha(clVH)-H-2. At zero temperature the magnitude of alpha(cl) is of the same order as that arising from the quantum interference mechanism. At higher temperatures the classical mechanism is expected to dominate due to its relatively weak temperature dependence.