2017/12/31 by Reinaldo García-García
Environmental Science · Physics and Astronomy · #Barkhausen effect #Dissipation #Ecosystem dynamics and resilience #Energy (signal processing) #Exponent #Measure (data warehouse) #Noise (video) #Non-equilibrium thermodynamics #Scaling #Theoretical and Computational Physics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1209/0295-5075/121/26001
published as EPL 121, 26001 (2018) · 7 pages, 3 figures, final accepted version
openalex publication_date 2018/01/01 · openalex created_date 2018/01/05 · arxiv created 2018/03/01 · arxiv updated 2018/04/20 · openalex updated_date 2026/08/05
We consider the amount of energy dissipated during individual avalanches at the depinning transition of disordered and athermal elastic systems. Analytical progress is possible in the case of the Alessandro-Beatrice-Bertotti-Montorsi (ABBM) model for Barkhausen noise, due to an exact mapping between the energy released in an avalanche and the area below a Brownian path until its first zero-crossing. Scaling arguments and examination of an extended mean-field model with internal structure show that dissipation relates to a critical exponent recently found in a study of the rounding of the depinning transition in the presence of activated dynamics. A new numerical method to compute the dynamic exponent at depinning in terms of blocked and marginally stable configurations is proposed, and a kind of "dissipative anomaly" —with potentially important consequences for non-equilibrium statistical mechanics— is discussed. We conclude that for depinning systems the size of an avalanche does not constitute by itself a univocal measure of the energy dissipated.