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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

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.

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Date Created
  • 2014-07-30
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  • Text
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    Identifier
    • Digital object identifier: 10.1103/PhysRevE.90.012142
    • Identifier Type
      International standard serial number
      Identifier Value
      2470-0045
    • Identifier Type
      International standard serial number
      Identifier Value
      2470-0053
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    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

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