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Power-Law Statistics for Avalanches in a Martensitic Transformation

Ahluwalia, Rajeev and Ananthakrishna, G (2001) Power-Law Statistics for Avalanches in a Martensitic Transformation. In: Physical Review Letters, 86 (18). pp. 4076-4079.


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We devise a two-dimensional model that mimics the recently observed power-law distributions for the amplitudes and durations of the acoustic emission signals observed during martensitic transformation [Vives et al., Phys. Rev. Lett. 72, 1694 (1994)]. We include a threshold mechanism, long-range interaction between the transformed domains, inertial effects, and dissipation arising due to the motion of the interface. The model exhibits thermal hysteresis and, more importantly, it shows that the energy is released in the form of avalanches with power-law distributions for their amplitudes and durations. Computer simulations also reveal morphological features similar to those observed in real systems.

Item Type: Journal Article
Publication: Physical Review Letters
Publisher: American Physical Society
Additional Information: The DOI is currently only displayed. Copyright for this article belongs to American Physical Society (APS)
Department/Centre: Division of Chemical Sciences > Materials Research Centre
Date Deposited: 11 Jun 2004
Last Modified: 19 Sep 2010 04:12
URI: http://eprints.iisc.ac.in/id/eprint/78

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