The bound current density in a dielectric caused by a magnetization M is given in cgs by
where c is the speed of light and is the curl, Eric Weisstein's World of Math and in MKS by
Bound Surface Current, Current Density, Free Current Density, H, Magnetization
References
Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, 1998.