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Algebraic topology and the quantization of fluctuating currents

We give a new approach to the study of statistical mechanical systems: algebraic topology is used to investigate the statistical distributions of stochastic currents generated in graphs. In the adiabatic and low temperature limits we will demonstrate that quantization of current generation occurs.

preprint2012arXivOpen access
Vladimir Y. ChernyakJohn R. KleinNikolai A. Sinitsyn
math.ATcond-mat.stat-mechmath-phmath.MP
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Vladimir Y. ChernyakJohn R. KleinNikolai A. Sinitsyn

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