  We study Casimir interactions between cylinders in thermal non-equilibrium,
where the objects as well as the environment are held at different
temperatures. We provide the general formula for the force, in a one reflection
approximation, for cylinders of arbitrary radii and optical properties. As is
the case for equilibrium, we find that the force for optically diluted
cylinders can be obtained by appropriate summation of the corresponding result
for spheres. We find that the non-equilibrium forces are generally larger than
their equilibrium counterpart at separations greater than the thermal
wavelength. They may also exhibit oscillations as function of separation,
leading to stable points of zero net force. These effects are particularly
pronounced for thin conducting cylinders (e.g. 40nm diameter nano-wires of
tungsten) due to their large emissivity.
