The Library

Avalanche criticality in the martensitic transition of Cu67.64Zn16.71Al15.65 shape-memory alloy: a calorimetric and acoustic emission study

Tools

Gallardo, María Carmen, Manchado, Julia, Romero, Francisco Javier, Cerro, Jamie del, Salje, Ekhard K. H., Planes, Antoni, Vives, Eduard, Romero, Ricardo and Stipcich, Marcelo. (2010) Avalanche criticality in the martensitic transition of Cu67.64Zn16.71Al15.65 shape-memory alloy: a calorimetric and acoustic emission study. Physical Review B (Condensed Matter and Materials Physics), Vol.81 (No.17). Article 4102. ISSN 1098-0121

PDF
WRAP_Vives_300610-gallardo_revised.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (872Kb)

Official URL: http://dx.doi.org/10.1103/PhysRevB.81.174102

Abstract

The first-order diffusionless structural transition in Cu67.64Zn16.71Al15.65 is characterized by jerky propagation of phase fronts related to the appearance of avalanches. In this paper, we describe a full analysis of this avalanche behavior using calorimetric heat-flux measurements and acoustic emission measurements. Two different propagation modes, namely, smooth front propagation and jerky avalanches, were observed in extremely slow measurements with heating and cooling rates as low as a few 10−3 K/h. Avalanches show criticality where each avalanche leads to a spike in the heat flux. Their statistical analysis leads to a power law [P(E)∼E−ε, where P(E)dE is the probability to observe an avalanche with energy E in an interval between E and E+dE] with an energy exponent of ε=2.15±0.15 in excellent agreement with the results of acoustic emission measurements. Avalanches appear to be more common for heating rates faster than 5×10−3 K/h whereas smooth front propagation occurs in all calorimetric measurements and (almost) exclusively for slower heating rates. Repeated cooling runs were taken after a waiting time of 1 month (and an intermediate heating run). Correlations between the avalanche sequences of the two cooling runs were found for the strongest avalanche peaks but not for the full sequence of avalanches. The memory effect is hence limited to strong avalanches.

Item Type:

Journal Article

Subjects:

Q Science > QC Physics

Divisions:

Faculty of Science > Physics

Library of Congress Subject Headings (LCSH):

Martensitic transformations, Crystals -- Effect of temperature on, Avalanches -- Mathematical models

Journal or Publication Title:

Physical Review B (Condensed Matter and Materials Physics)

Publisher:

American Physical Society

ISSN:

1098-0121

Official Date:

3 May 2010

Dates:

Date	Event
3 May 2010	Published

Volume:

Vol.81

Number:

No.17

Page Range:

Article 4102

Identification Number:

10.1103/PhysRevB.81.174102

Status:

Peer Reviewed

Access rights to Published version:

Open Access

Funder:

Spain. Dirección General de Investigación Científica y Técnica (DGICYT), Fundación Cámara (FC), Consejo Nacional de Ciencia y Técnica (Argentina) (CONACYT)

Grant number:

FIS2006-04045 (DGICYT), MAT 2007-61200 (CONACYT)

References:

[1] R. Bausch, H. K. Janssen and H. Wagner, Z. Phys. B: Condens. Matter 24, 113 (1976).
[2] Pelissetto and E. Vicari, Phys. Rep. 368, 549 (2002).
[3] A. Vespignani and S. Zapperi, Phys. Rev. E 57, 6345 (1998).
[4] L. F. Cugliandolo and J. Kurchan, J. Phys. A: Math. Gen. 27, 5749 (1994).
[5] J. P. Sethna, K. Dahmen, S. Kartha, J. A. Krumhansl, B. W. Roberts and J. D. Shore, Phys. Rev. Lett. 70, 3347 (1993).
[6] E. K. H. Salje, B. Wruck and H. Thomas, Z. Phys. B: Condens. Matter 82, 399 (1991).
[7] E. K. H. Salje, Phase Transitions in Ferroelastic and Co-elastic Crystals, second edition, Cambridge University Press, Cambridge, UK, (1993); M. A. Carpenter, E. K. H. Salje and A. Graeme-Barber, Eur. J. Mineral. 10, 621 (1998).
[8] E. K. H. Salje, M. C. Gallardo, J. Jiménez, F. J. Romero and J. del Cerro, J. Phys.: Condens. Matter 10, 5535 (1998); S. A. Hayward, F. D. Morrison, S. A. T. Redfern, E. K. H. Salje, J. F. Scott, K. S. Knight, S. Tarantino, A. M. Glazer, V. Shuvaeva, P. Daniel, M. Zhang and M. A. Carpenter, Phys. Rev. B 72, 054110 (2005).
[9] J. C. Lashley, S. M. Shapiro, B. L. Winn, C. P. Opeil, M. E. Manley, A. Alatas, W. Ratcliff, T. Park, R. A. Fisher, B. Mihaila, P. Riseborough, E. K. H. Salje and J. L. Smith, Phys. Rev. Lett. 101, 135703 (2008).
[10] E. K. H. Salje, M. Zhang and H. L. Zhang, J. Phys.: Condens. Matter 21, 335402 (2009).
[11] F. J. Romero, M. C. Gallardo, S. A. Hayward, J. Jiménez, J. del Cerro and E. K. H. Salje, J. Phys.: Condens. Matter 16, 2879 (2004).
[12] E. K. H. Salje and H. L. Zhang, J. Phys.: Condens. Matter 21, 035901 (2009); W. Schranz, P. Sondergeld, A. V. Kityk and E. K. H. Salje, Phys. Rev. B 80, 094110 (2009).
[13] Shape memory alloys, edited by K. Otsuka and C. M. Wayman (Cambridge University Press, Cambridge UK, 1998).
[14] S. Sreekala, R. Ahluwalia and G. Ananthakrishna, Phys. Rev. B 70, 224105 (2004).
[15] E. Vives, J. Ortin, L. Manosa, I. Rafols, R. Pérez-Magrane and A. Planes, Phys. Rev. Lett. 72, 1694 (1994).
[16] A. Magni, G. Durin, S. Zapperi and J. P. Sethna J. Stat. Mech. P01020 (2009).
[17] F. J. Pérez-Reche, M. Stipcich, E. Vives, L. Manosa, A. Planes and M. Morin, Phys. Rev. B 69, 064101 (2004).
[18] F. J. Pérez-Reche, E. Vives, L. Manosa and A. Planes, Phys. Rev. Lett. 87, 195701 (2001).
[19] F. J. Pérez-Reche, B. Tadic, L. Manosa, A. Planes and E. Vives, Phys. Rev. Lett. 93, 195701 (2004).
[20] J. E. Martin, R.A. Anderson and C. P. Tigges, J. Chem. Phys. 108, 3765 (1998).
[21] E. K. H. Salje, H. Zhang, A. Planes and X. Moya, J. Phys.: Condens. Matter 20, 275216 (2008); E. K. H. Salje, H. Zhang, D. Schryvers and B. Bartova, Appl. Phys. Lett. 90, 221903 (2007).
[22] H. Zhang, E. K. H. Salje, D. Schryvers and B. Bartova, J. Phys.: Condens. Matter 20, 055220 (2008).
[23] U. Sari, E. Guler, T. Kirindi and M. Dikici, J. Phys. Chem. Solids 70, 1226 (2009).
[24] M. Dijkstra, D. Frenkel and J. P. Hansen, J. Chem. Phys. 101, 3179 (1994).
[25] C. R. S. Da Silva, B. B. Karki, L. Stixrude and R. M. Wentzcovitch, Geophys. Res. Lett. 26, 943 (1999); T. Tsuchiya, J. Tsuchiya, K. Umemoto and R. M. Wentzcovitch, Geophys. Res. Lett. 31, L14603 (2004).
[26] E. K. H. Salje, H. Zhang, H. Idrissi, D. Schryvers, M. A. Carpenter, X. Moya and A. Planes, Phys. Rev. B 80, 134114 (2009).
[27] E. K. H. Salje, J. Koppensteiner, M. Reinecker, W. Schranz, A. Planes, Appl. Phys. Lett. 95, 231908 (2009).
[28] J. M. Delgado-Sánchez, J. M. Martín-Olalla, M. C. Gallardo, S. Ramos, M. Koralewski and J. del Cerro, J. Phys.: Condens. Matter 17, 2645 (2005).
[29] S. A. Hayward, F. J. Romero, M. C. Gallardo, J. del Cerro, A. Gibaud and E. K. H. Salje, J. Phys.: Condens. Matter 12, 1133 (2000).
[30] D. Sherrington in Statistical Physics, High Energy, Condensed Matter and Mathematical Physics edited by M-L. Ge, C. H.Oh and K. K. Phua (World Scientific, Singapore, 2008), p. 218; E. K. H. Salje, Phys. Chem. Miner. 15, 336 (1988); E. Salje and K. Parlinski, Supercond. Sci. Technol. 4, 93 (1991).
[31] K. Binder and J. D. Reger, Adv. Phys. 41, 547 (1992).
[32] J. R. L. de Almeida and D. J. Thouless, J. Phys. A: Math. Gen. 11, 983 (1978).
[33] F. Ritort and P. Sollich, Adv. Phys. 52, 219 (2003).
[34] J. P. Sethna, K. A. Dahmen and C. R. Myers, Nature 410, 242 (2001).
[35] P. Lloveras, T. Castan, M. Porta, A. Planes and A. Saxena, Phys. Rev. B 80, 054107 (2009).
[36] F. J. Pérez-Reche, L. Truskinovsky and G. Zanzotto, Phys. Rev. Lett. 101, 230601 (2008).
[37] M. Zhang, B. Wruck, A. G. Barber, E. K. H. Salje and M. A. Carpenter, Am. Mineral. 81, 92 (1996).
[38] M. C. Gallardo, J. Jiménez and J. del Cerro, Rev. Sci. Instrum. 66, 528 (1995).
[39] J. Jiménez, E. Rojas and M. Zamora, J. Appl. Phys. 56, 3353 (1984).
[40] J. del Cerro, J. Therm. Anal. 34, 335 (1998).
[41] J. del Cerro, J. M. Martín-Olalla and F. J. Romero, Thermochim. Acta 149, 401 (2003).
[42] J. del Cerro, F. J. Romero, M. C. Gallardo, S. A. Hayward and J. Jiménez Thermochim. Acta 343, 89 (2000).
[43] F. J. Romero, M.C. Gallardo, A. Czarnecka, M. Koralewski and J. Del Cerro, J. Therm. Anal. Calorim. 87, 355 (2007).
[44] F. J. Romero, M. C. Gallardo, J. Jiménez, A. Czarnecka, M. Koralewski and J. del Cerro, J. Phys.: Condens. Matter 16, 7637 (2004).
[45] J. Manchado, F. J. Romero, M. C. Gallardo, J. del Cerro, T. W. Darling, P. A. Taylor, A. Buckley and M. A. Carpenter, J. Phys.: Condens. Matter 21, 295903 (2009).
[46] F. J. Romero, J. Jiménez and J. del Cerro, J. Magn. Magn. Mater. 280, 257 (2004).
[47] A. Planes, J. L. Macqueron, M. Morin and G. Guenin, Phys. Status Solidi A 66, 717 (1981).
[48] A. Clauset, C. Rohilla-Shalizi and M. E .J. Newman, SIAM Review 51, 661 (2009).
[49] L. Carrillo and J. Ortín, Phys. Rev. B 56, 11508 (1997).
[50] S. A. Hayward and E. K. H. Salje, Am. Mineral. 81, 1332 (1996); E. K. H. Salje, Eur. J. Mineral. 7, 791 (1995); E. K. H. Salje, U. Bismayer, B. Wruck, and J. Hensler, Phase Transitions 35, 61 (1991).
[51] Q. Bronchart, Y. Le Bouar and A. Finel, Phys. Rev. Lett. 100, 015702 (2008); D. Rodney, Y. Le Bouar and A. Finel, Acta Mater. 51, 170 (2003).
[52] V. Lecomte, S. E. Barnes, J. P. Eckmann, and T. Giamarchi, Phys. Rev. B 80, 054413 (2009).
[53] Q. Pang, J. M. Zhang, K. W. Xu, and V. Ji, Appl. Surf. Sci. 225, 8145 (2009); L. Goncalves-Ferreira, S. A. T. Redfern, E. Artacho and E. K. H. Salje, Phys. Rev.
Lett. 101, 097602 (2008); E. K. H. Salje, H. L. Zhang, Phase Transitions 82, 452 (2009); K. R. Locherer, S. A. Hayward, P. J. Hirst, J. Chrosch, M. Yeadon, J. S. Abell and E. K. H. Salje, Philos. Trans. R. Soc. London, Ser. A 354, 2815 (1996).
[54] A. Agronin, Y. Rosenwaks, and G. Rosenman, Appl. Phys. Lett. 88, 072911 (2006)
[55] M. A. Krivoglaz, Soviet Physics JET – USSR 21, 204 (1965).
[56] E. K. H. Salje, Phys. Rep. 215, 49 (1992); E. Bonnot, E. Vives, L. Manosa, A. Planes and R. Romero, Phys. Rev. B 78, 094104 (2008).
[57] C. Herzig, T. Przeorski, Y. Mishin, Intermetallics 7, 389 (1999)