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Related Experiment Videos

Memory and Universality in Interface Growth.

Jacopo De Nardis1, Pierre Le Doussal2, Kazumasa A Takeuchi3

  • 1Département de Physique, Ecole Normale Supérieure, PSL Research University, CNRS, 24 rue Lhomond, 75005 Paris, France.

Physical Review Letters
|April 8, 2017
PubMed
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Researchers uncovered universal two-time aging dynamics in growing interfaces, revealing non-ergodic behavior in the Kardar-Parisi-Zhang (KPZ) universality class. Experimental and simulation data confirm these novel predictions for complex systems.

Area of Science:

  • Statistical Physics
  • Complex Systems
  • Non-equilibrium Dynamics

Background:

  • One-dimensional growth processes with local stochastic rules exhibit robust universal properties, defining the Kardar-Parisi-Zhang (KPZ) universality class.
  • Understanding temporal correlations and fluctuations in these systems, particularly their aging dynamics, remains a significant challenge.

Purpose of the Study:

  • To derive quantitative predictions for the universal form of two-time aging dynamics in growing interfaces.
  • To demonstrate the breaking of ergodicity in Kardar-Parisi-Zhang (KPZ) time evolution from first principles.
  • To validate these predictions through experimental and numerical evidence.

Main Methods:

  • Theoretical derivation of quantitative predictions for two-time aging dynamics.

Related Experiment Videos

  • First-principles analysis to demonstrate the breaking of ergodicity in KPZ systems.
  • Experimental validation using a turbulent liquid crystal system.
  • Numerical simulation of the Eden model.

    • Main Results:

    • Quantitative predictions for the universal form of two-time aging dynamics of growing interfaces have been derived.
    • The breaking of ergodicity in KPZ time evolution has been demonstrated from first principles.
    • Corroborating experimental observations and numerical simulations confirm the universality of the derived predictions.

    Conclusions:

    • The study reveals universal two-time aging dynamics and non-ergodic behavior in the KPZ universality class.
    • These findings are robustly supported by both experimental and numerical evidence.
    • The results offer insights into memory effects in a wider range of far-from-equilibrium systems.