2005/06/24 by Supurna Sinha, Joseph Samuel
Physics and Astronomy · #cond-mat.stat-mech
published as Physical Review B, {\bf 50}, 13 871 (1994) · Published
arxiv created 2005/06/24 · arxiv updated 2009/12/01
We present an interesting connection between Brownian motion and magnetism. We use this to determine the distribution of areas enclosed by the path of a particle diffusing on a sphere. In addition, we find a bound on the free energy of an arbitrary system of spinless bosons in a magnetic field. The work presented here is expected to shed light on polymer entanglement, depolarized light scattering, and magnetic behavior of spinless bosons.