arXiv:1204.2011 Abstract | arXiv Analytics

arXiv:1204.2011 [math.AT]Abstract References Reviews Resources

Algebraic topology and the quantization of fluctuating currents

Vladimir Y. Chernyak, John R. Klein, Nikolai A. Sinitsyn

Published 2012-04-09Version 1

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.

Categories: math.AT, cond-mat.stat-mech, math-ph, math.MP

Subjects: 82C31, 60J28, 55R80, 05C21, 55R40, 82C41

Keywords: algebraic topology, fluctuating currents, quantization, low temperature limits, current generation occurs

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