The absence of Bohr - van Leeuwen paradox in classical statistical ensambles of moving charges, in finite phase volume
arXiv:1104.3642
Abstract
The Bohr - van Leeuwen theorem [1-6] consists in follow paradox: classical statistical ensambles of moving charges in external static magnetic field can't have the induced orbital magnetic moment. I.e., the diamagnetism is not possible. In that paper will be shown, the theorem take place only in statistical ensambles in infinite phase volume. For the statistical ensambles in finite phase volume we have usual diamagnetic orbital moment.