TY - GEN
T1 - 1/f noise from the laws of thermodynamics for finite-size fluctuations
UR - http://hdl.handle.net/2286/R.I.26590
A1 - Chamberlin, Ralph
A1 - Nasir, Derek
A1 - College of Liberal Arts and Sciences
A1 - Department of Physics
N1 - Copyright 2014 by the American Physical Society. View the article as published at http://dx.doi.org/10.1103/PhysRevE.90.012142
N2 - {'value': "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 fluctuations strictly obey the laws of thermodynamics, even in small parts of a large system. Empirical evidence for the model comes from its ability to match the measured temperature dependence of the spectral-density exponents in several metals and to show non-Gaussian fluctuations characteristic of nanoscale systems.", 'type': 'abstract'}
T2 - 1/f noise from the laws of thermodynamics for finite-size fluctuations
ER -