The European Physical Journal Special Topics

, Volume 226, Issue 3, pp 365–371

Reducing low-frequency noise during reversible fluctuations

Regular Article

DOI: 10.1140/epjst/e2016-60182-y

Cite this article as:
Chamberlin, R.V. Eur. Phys. J. Spec. Top. (2017) 226: 365. doi:10.1140/epjst/e2016-60182-y
Part of the following topical collections:
  1. Nonlinearity, Nonequilibrium and Complexity: Questions and Perspectives in Statistical Physics


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.

Copyright information

© EDP Sciences and Springer 2017

Authors and Affiliations

  1. 1.Department of PhysicsArizona State UniversityTempe, AZUSA