Reducing low-frequency noise during reversible fluctuations

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Abstract

The noise from most materials exhibits a power-spectral density that tends to diverge as S(f) ∝ 1/f at low frequencies, f. A fundamental mechanism for this 1/f noise comes from the thermodynamics of small systems applied to reversible fluctuations of nanometer-sized regions inside bulk samples. Here this “nanothermodynamics” is used to derive a nonlinear correction to Boltzmann’s factor. Specifically: Boltzmann’s factor comes from the first-order (linear) derivative of entropy with respect to energy, whereas the nonlinear correction comes from higher-order terms. The nonlinear correction is applied to Monte Carlo simulations of small regions in the Ising model, yielding a low-frequency crossover to white noise that keeps the power-spectral density finite as f → 0. It is shown that the low-frequency noise in the model is reduced by reducing the size of the regions.

Original languageEnglish (US)
Pages (from-to)365-371
Number of pages7
JournalEuropean Physical Journal: Special Topics
Volume226
Issue number3
DOIs
StatePublished - Feb 1 2017

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ASJC Scopus subject areas

  • Materials Science(all)
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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