DeSalvo, Riccardo and DiCintio, Arianna and Lundin, Mark (2011) The role of Self-Organized Criticality in elasticity of metallic springs: Observations of a new dissipation regime. European Physical Journal Plus, 126 (8). Art. No. 75. ISSN 2190-5444 http://resolver.caltech.edu/CaltechAUTHORS:20110929-140036947
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We present investigations of low-frequency stochastic deviations from elasticity of Maraging steel springs used in the seismic isolation of the Virgo, Advanced LIGO, and TAMA interferometers. Our studies reveal unexpected facets of elasticity and dissipation in metals, in which a spring is observed to abandon its linear behavior. Various forms of anomalous low-frequency oscillator behavior are characterized, quantified and discussed. These include fluctuations of the Young’s Modulus, hysteretic properties, random walk of equilibrium point and spontaneous de-stabilization events, which occasionally lead to collapse. We made a conjecture that rationalizes all of the anomalies, namely that the observed effects are due to collective interactions of entangling and disentangling dislocations. A phase transition involving switching from a linear to a chaotic regimes is observed —at time scales less than one second— and is shown to be consistent with Self-Organized Criticality (SOC). The threshold frequency to this regime is determined by the material characteristics, as well as by the physical shape and dimensions of flexures.
|Additional Information:||© 2011 Società Italiana di Fisica/Springer-Verlag. Received: 10 November 2010. Revised: 6 July 2011. Published online: 16 August 2011. R.D.S. would like to thank Jose Ugas, the student that confronted him with the hysteresis puzzle, and started the studies reported in this paper. Many other students and young scientists contributed over the years of SAS and Virgo SA development to the accumulation of knowledge that led to this paper. We apologize for not listing their names individually. The authors would like to thank, F. Cordero, F. Frasconi, L. Gammaitoni, A. Granato, F. Marchesoni, I. Pinto, M. Punturo, P. Saulson, C. Speakes, F. Travasso, R. Valentini, H. Vocca for useful discussions and constructive criticism that contributed to this paper. We are deeply indebted to Sydney Meshkov, for painstakingly reviewing and improving our manuscript. We gratefully thank the National Science Foundation, cooperative agreement number PHY-0823459. The visits to LIGO Laboratory for A.D.C. and M.L. were hosted under the LIGO Visitors Program. This document has been assigned the LIGO number LIGO-P1000105.|
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|Official Citation:||The role of Self-Organized Criticality in elasticity of metallic springs: Observations of a new dissipation regime Riccardo DeSalvo, Arianna DiCintio and Mark Lundin|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||30 Sep 2011 15:22|
|Last Modified:||30 Sep 2011 15:22|
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