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  • Letter
  • Open Access

Transition between chaotic and stochastic universality classes of kinetic roughening

Enrique Rodríguez-Fernández* and Rodolfo Cuerno†

  • Departamento de Matemáticas and Grupo Interdisciplinar de Sistemas Complejos (GISC), Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Spain

  • *enrodrig@math.uc3m.es
  • †cuerno@math.uc3m.es
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Phys. Rev. Research 3, L012020 – Published 2 March, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L012020

Abstract

The dynamics of nonequilibrium spatially extended systems are often dominated by fluctuations, e.g., due to deterministic chaos or intrinsic stochasticity. This reflects into generic scale invariant or kinetic roughening behavior that can be classified into universality classes defined by critical exponent values and by the probability distribution function (PDF) of field fluctuations. Suitable geometrical constraints are known to change secondary features of the PDF while keeping the values of the exponents unchanged, inducing universality subclasses. Working on the Kuramoto-Sivashinsky equation as a paradigm of spatiotemporal chaos, we show that the physical nature of the prevailing fluctuations (chaotic or stochastic) can also change the universality class while respecting the exponent values, as the PDF is substantially altered. This transition takes place at a nonzero value of the stochastic noise amplitude and may be suitable for experimental verification.

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Phys. Rev. Research 3, L012020– Published 2 March, 2021
  • Received 24 July 2020
  • Accepted 16 February 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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