  There is a long-time quest for understanding physical mechanisms of weak
magnetic field interaction with biological matter. Two factors impeded the
development of such mechanisms: first, a high (room) temperature of a cellular
environment, where a weak, static magnetic field induces a tiny (classically
zero) equilibrium response. Second, the friction in the cellular environment is
very large, preventing a weak field to alter non-equilibrium processes such as
a free diffusion of charges. Here we study a class of non-equilibrium steady
states of a cellular ion in a confining potential, where the response to a
(weak, homogeneous, static) magnetic field survives strong friction and thermal
fluctuations. The magnetic field induces a rotational motion of the ion that
proceeds with the cyclotron frequency. In particular, such non-equilibrium
states are generated by a white noise acting on the ion additionally to the
(non-local) friction and noise generated by an equilibrium thermal bath.
