Abstract
We review several aspects of the dynamics of first-order phase transitions in functional materials. In particular, we focus on recent models of the athermal evolution in driven ferromagnets that provide a global picture of metastability and hysteresis, and show that first-order phase transitions in these systems proceed by avalanches. Within this theoretical framework, we discuss recent experiments on acoustic emission avalanches in structural phase transitions.
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References
J.P. Sethna, K. Dahmen, S. Kartha, J.A. Krumhansl, B.W. Roberts, J.D. Shore, Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations. Phys. Rev. Lett. 70, 3347 (1993)
J.P. Sethna, K. Dahmen, O. Perkovic, in The Science of Hysteresis, eds. by G. Berttoti, I. Mayergoyz (Academic, Amsterdam, 2006)
E. Kierlik, P.A. Monson, M.L. Rosinberg, L. Sarkisov, G. Tarjus, Capillary condensation in disordered porous materials: hysteresis versus equilibrium behavior. Phys. Rev. Lett. 87, 055701 (2001)
F. Detcheverry, E. Kierlik, M.L. Rosinberg, G. Tarjus, Helium condensation in aerogel: avalanches and disorder-induced phase transition. Phys. Rev. E 72, 051506 (2005)
F. Bonnet, T. Lambert, B. Cross, L. Guyon, F. Despetis, L. Puech, P.E. Wolf, Evidence for a disorder-driven phase transition in the condensation of 4He in aerogels. Eur. Phys. Lett. 82, 56003 (2008)
E. Vives, M.L. Rosinberg, G. Tarjus, Hysteresis and avalanches in the T = 0 random-field Ising model with two-spin-flip dynamics. Phys. Rev. B 71, 134424 (2005)
P. Bortolotti, V. Basso, A. Magni, G. Bertotti, Oriented graph structure of local energy minima in the random-field Ising model. Physica B 403, 398 (2008)
F. Detcheverry, M.L. Rosinberg, G. Tarjus, Metastable states and T = 0 hysteresis in the random-field Ising model on random graphs. Eur. Phys. J. B 44, 327 (2005)
F.J. Pérez-Reche, M.L. Rosinberg, G. Tarjus, Numerical approach to metastable states in the zero-temperature random-field Ising model. Phys. Rev. B 77, 064422 (2008)
V. Basso, A. Magni, Field history analysis of spin configurations in the random-field Ising model. Physica B 343, 275 (2004)
M.L. Rosinberg, G. Tarjus, F.J. Pérez-Reche, The T = 0 random-field Ising model on a Bethe lattice with large coordination number: hysteresis and metastable states. J. Stat. Mech: Theory Exp. 03003 (2009)
F. Pazmandi, G. Zarand, G.T. Zimanyi, Self-organized, criticality in the hysteresis of the Sherrington-Kirkpatrick model. Phys. Rev. Lett. 83, 1034 (1999)
M.L. Rosinberg, T. Munakata, Hysteresis and metastability in the mean-field random field Ising model: the soft-spin version. Phys. Rev. B 79, 174207 (2009)
F. Bouchet, T. Dauxois, D. Mukamel, S. Ruffo, Phase space gaps and ergodicity breaking in systems with long-range interactions. Phys. Rev. E 77, 011125 (2008)
Y. Liu, K.A. Dahmen, Unexpected universality in static and dynamic avalanches. Phys. Rev. E 79, 061124 (2009)
G. Bertotti, Hysteresis in Magnetism (Academic, New York, 1998)
E. Kierlik, J. Puibasset, G. Tarjus, Effect of the reservoir size on gas adsorption in inhomogneous porous media. J. Phys.: Condens. Mat. 21, 155102 (2009)
E. Bonnot, R. Romero, X. Illa, L. Manosa, A. Planes, E. Vives, Hysteresis in a system driven by either generalized force or displacement variables: martensitic phase transition in single-crystalline Cu-Zn-Al. Phys. Rev. B 76, 064105 (2007)
X. Illa, M.L. Rosinberg, P. Shukla, E. Vives, Magnetization driven random-field Ising model at T = 0. Phys. Rev. B 74, 244404 (2006)
S. Zapperi, P. Cizeau, G. Durin, E. Stanley, Dynamics of a ferromagnetic domain-wall: avalanches, depinning transition, and the Barkhausen effect. Phys. Rev. B 58, 6353 (1998)
F. Pérez-Reche, L. Truskinovsky, G. Zanzotto, Driving-induced crossover: from classical criticality to self-organized criticality. Phys. Rev. Lett. 101, 230601 (2008)
X. Illa, M.L. Rosinberg, P. Shukla, E. Vives, Influence of the driving mechanism on the response of systems with athermal dynamics: the example of the random-field Ising model. Phys. Rev. B 74, 244403 (2006)
S. Papanikolaou, F. Bohn, R.L. Sommer, G. Durin, S. Zapperi, J.P. Sethna, Beyond scaling: the average avalanche shape, Nature Phys. 7, 316 (2011)
B. Alessandro, C. Beatrice, G. Bertotti, A. Montorsi, Domain-wall dynamics and Barkhausen effect in metallic ferromagnetic materials: I. Theory. J. Appl. Phys. 68, 2901 (1990)
C.B. Scruby, An introduction to acoustic emission. J. Phys. E: Sci. Instrum. 20, 946 (1987)
Ll. Mañosa, A. Planes, D. Rouby, M. Morin, P. Fleischmann, J.L. Macqueron, Acoustic emission field during thermoelastic martensitic transformations. Appl. Phys. Lett. 54, 2574 (1989)
O.U. Salman, Modeling of spatio-temporal dynamics and patterning mechanisms of martensites by phase-field and Lagrangian methods, PhD dissertation, Université Pierre et Marie Curie (2009)
C.B. Scruby, Quantitative acoustic emission techniques ed. by R.S. Sharpe in Research Techniques in Non-destructive Testing, vol III (Academic Press, London, 1985)
E. Bonnot, Ll. Mañosa, A. Planes, D. Soto-Parra, E. Vives, B. Ludwig, C. Strothkaemper, T. Fukuda, T. Kakeshita, Acoustic emission in the fcc-fct martensitic transition of Fe68. 8Pd31. 2. Phys. Rev. B 78, 184103 (2008)
F.J. Pérez-Reche, E. Vives, Ll. Mañosa, A. Planes, Athermal character of structural phase transitions. Phys. Rev. Lett. 87, 195701 (2001)
F.J. Pérez-Reche, B. Tadi, Ll. Mañosa, A. Planes, E. Vives, Driving rate effects in avalanche-mediated first-order phase transitions. Phys. Rev. Lett. 93, 195701 (2004)
F.J. Pérez-Reche, M. Stipcich, E. Vives, Ll. Mañosa, A. Planes, M. Morin, Kinetics of martensitic transitions in Cu-Al-Mn under thermal cycling: Analysis at multiple length scales. Phys. Rev. B 69, 064101 (2004)
L. Straka, V. Novák, M. Landa, O. Heczko, Acoustic emission of Ni-Mn-Ga magnetic shape memory alloy in different straining modes. Mater Sci Eng A 374, 263 (2004)
E. Vives, D. Soto-Parra, Ll. Mañosa, R. Romero, A. Planes, Driving-induced crossover in the avalanche criticality of martensitic transitions. Phys. Rev. B 80, 180101 (2009)
E. Bonnot, E. Vives, Ll. Mañosa, A. Planes, R. Romero, Acoustic emission and energy dissipation during front propagation in a stress-driven martensitic transition. Phys. Rev. B 78, 094104 (2008)
M.C. Gallardo, J. Manchado, F.J. Romero, J. del Cerro, E.K.H. Salje, A. Planes, E. Vives, Avalanche criticality in the martensitic transition of Cu67.64 Zn16.71Al15.65 shape-memory alloy: A calorimetric and acoustic emission study. Phys. Rev. B 81, 174102 (2010)
E. Vives, I. Ràfols, L. Mañosa, J. Ortín, A. Planes, Statistics of avalanches in martensitic transformations. I. Acoustic emission experiments. Phys. Rev. B 52, 12644 (1995)
I. Ràfols, E. Vives, Statistics of avalanches in martensitic transformations. II. Modeling. Phys. Rev. B 52, 12651 (1995)
Ll. Carrillo, Ll. Mañosa, J. Ortín, A. Planes, E. Vives, Experimental evidence for universality of acoustic emission avalanche distributions during structural transitions. Phys. Rev. Lett. 81, 1889 (1998)
B. Ludwig, C. Strothkaemper, U. Klemradt, X. Moya, Ll. Mañosa, E. Vives, A. Planes, Premartensitic transition in Ni2MnGa Heusler alloys: Acoustic emission study. Phys. Rev. B 80, 144102 (2009)
B. Ludwig, C. Strothkaemper, U. Klemradt, X. Moya, Ll. Mañosa, E. Vives, A. Planes, An acoustic emission study of the effect of a magnetic field on the martensitic transition in Ni2MnGa. Appl. Phys. Lett. 94, 121901 (2009)
F.J. Perez-Reche, L. Truskinovsky, G. Zanzotto, Training-induced criticality in martensites. Phys. Rev. Lett. 99, 075501 (2007)
B. Cerruti, E. Vives, Correlations in avalanche critical points. Phys. Rev. E 80, 011105 (2009)
B. Cerruti, E. Vives, Random-field Potts model with dipolar-like interactions: hysteresis, avalanches, and microstructure. Phys. Rev. B 77, 064114 (2008)
B. Cerruti, E. Vives, Statistics of microstructure formation in structural transitions studied using a random-field Potts model with dipolar-like interactions. J. Stat. Mech. P05009 (2009)
Acknowledgments
The authors acknowledge fruitful discussions with Ll.Mañosa, A.Planes, F.J. Pérez-Reche, and G. Tarjus. E.V. acknowledges the hospitality of the Physics Department (University of Warwick) during a sabbatical stay supported by the Spanish Ministry of Education (PR2009-0016). We also acknowledge financial support from the Spanish Ministry of Science and Innovation (MAT2010-15114).
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Rosinberg, ML., Vives, E. (2012). Metastability, Hysteresis, Avalanches, and Acoustic Emission: Martensitic Transitions in Functional Materials. In: Kakeshita, T., Fukuda, T., Saxena, A., Planes, A. (eds) Disorder and Strain-Induced Complexity in Functional Materials. Springer Series in Materials Science, vol 148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20943-7_13
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DOI: https://doi.org/10.1007/978-3-642-20943-7_13
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