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1/f noise from the laws of thermodynamics for finite-size fluctuations


Abstract Computer simulations of the Ising model exhibit white noise if thermal fluctuations are governed by Boltzmann's factor alone; whereas we find that the same model exhibits 1/f noise if Boltzmann's factor is extended to include local alignment entropy to all orders. We show that this nonlinear correction maintains maximum entropy during equilibrium fluctuations. Indeed, as with the usual way to resolve Gibbs' paradox that avoids entropy reduction during reversible processes, the correction yields the statistics of indistinguishable particles. The correction also ensures conservation of energy if an instantaneous contribution from local entropy is included. Thus, a common mechanism for 1/f noise comes from assuming that finite-size... (more)
Created Date 2014-07-30
Contributor Chamberlin, Ralph (ASU author) / Nasir, Derek (ASU author) / College of Liberal Arts and Sciences / Department of Physics
Series PHYSICAL REVIEW E
Type Text
Extent 5 pages
Language English
Identifier DOI: 10.1103/PhysRevE.90.012142 / ISSN: 2470-0045 / ISSN: 2470-0053
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Citation Chamberlin, Ralph V., & Nasir, Derek M. (2014). 1/f noise from the laws of thermodynamics for finite-size fluctuations. PHYSICAL REVIEW E, 90(1),012142. http://dx.doi.org/10.1103/PhysRevE.90.012142
Note Copyright 2014 by the American Physical Society. View the article as published at http://dx.doi.org/10.1103/PhysRevE.90.012142
Collaborating Institutions ASU Library
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  1/f noise from the laws of thermodynamics for finite-size fluctuations
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