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</script>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.
Published
Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Centre for Theoretical Studies, Condensed Matter - Statistical Mechanics
Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Centre for Theoretical Studies, Condensed Matter - Statistical Mechanics
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