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Phonons and the Ioffe-Regel crossover in random lattices with arbitrary dimension
Russian version
DOI: 10.21883/PSS.2022.14.54323.06s
Conyuh D. A.1
1Ioffe Institute, St. Petersburg, Russia
Email: conyuh.dmitrij@yandex.ru
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In the frame of the random matrix theory, it was shown, that the relaxation of the projection of the initial plane wave with the wave vector q is described by the equation of motion with the memory function which corresponds to the complex dynamical Young modulus E(ω). In the harmonic scalar model of displacements with the absence of energy dissipation, the Ioffe-Regel crossover arises universally in amorphous systems with the dimension d≥3. Vibrations above the Ioffe-Regel crossover are related to the diffusive nature and can be described by the diffusion equation with the damping ( q) propto q2. Keywords: Amorphous solids, diffusons, random matrices.
  1. D.A. Parshin. Physics of the Solid State 36, 7, 1809 (1994)
  2. P.B. Allen, J.L. Feldman. Phys. Rev. B 48, 17, 12581 (1993)
  3. P.B. Allen, J.L. Feldman, J. Fabian, F. Wooten. Phil. Mag. B 79, 11, 1715 (1999)
  4. B. Ruffle, G. Guimbretiere, E. Courtens, R. Vacher, G. Monaco. Phys. Rev. Lett. 96, 4, 045502 (2006)
  5. B. Ruffle, D.A. Parshin, E. Courtens, R. Vacher. Phys. Rev. Lett. 100, 1, 015501 (2008)
  6. V.L. Gurevich, D.A. Parshin, H.R. Schober. Phys. Rev. B 67, 9, 094203 (2003)
  7. V.K. Malinovsky, A.P. Sokolov. Solid State Commun. 57, 9, 757 (1986)
  8. A. Wischnewski, U. Buchenau, A.J. Dianoux, W.A. Kamitakahara, J.L. Zarestky. Phil. Mag. B 77, 2, 579 (1998)
  9. P. Benassi, M. Krisch, C. Masciovecchio, V. Mazzacurati, G. Monaco, G. Ruocco, F. Sette, R. Verbeni. Phys. Rev. Lett. 77, 18, 3835 (1996)
  10. T. Ohsaka, T. Ihara. Phys. Rev. B 50, 13, 9569 (1994)
  11. F. Sette, M.H. Krisch, C. Masciovecchio, G. Ruocco, G. Monaco. Sci. 280, 5369, 1550 (1998)
  12. G. Ruocco, F. Sette. J.Phys.: Condens. Matter 13, 41, 9141 (2001)
  13. J.K. Christie, S.N. Taraskin, S.R. Elliott. J. Non-Cryst. Solids 353, 22--23, 2272 (2007)
  14. V. Vitelli, N. Xu, M. Wyart, A.J. Liu, S.R. Nagel. Phys. Rev. E 81, 2, 021301 (2010)
  15. S. Kojima, Y. Matsuda, M. Kodama, H. Kawaji, T. Atake. Chin. J.Phys. 49, 1, 414 (2011)
  16. W. Steurer, A. Apfolter, M. Koch, W.E. Ernst, E. S nderg rd, J.R. Manson, B. Holst. Phys. Rev. B 78, 4, 045427 (2008)
  17. W. Steurer, A. Apfolter, M. Koch, W.E. Ernst, B. Holst, E. S nderg rd, J.R. Manson. Phys. Rev. Lett. 99, 3, 035503 (2007)
  18. L. Zhang, J. Zheng, Y. Wang, L. Zhang, Z. Jin, L. Hong, Y. Wang, J. Zhang. Nature Commun. 8, 1, 67 (2017)
  19. L. Wang, A. Ninarello, P. Guan, L. Berthier, G. Szamel, E. Flenner. Nature Commun. 10, 1, 26 (2019)
  20. M. Wyart. EPL (Europhys. Lett.) 89, 6, 64001 (2010)
  21. H. Mizuno, H. Shiba, A. Ikeda. PNAS 114, 46, E9767 (2017)
  22. A.I. Chumakov, G. Monaco, A. Monaco, W.A. Crichton, A. Bosak, R. Ruffer, A. Meyer, F. Kargl, L. Comez, D. Fioretto, H. Giefers, S. Roitsch, G. Wortmann, M.H. Manghnani, A. Hushur, Q. Williams, J. Balogh, K. Parlinski, P. Jochym, P. Piekarz. Phys. Rev. Lett. 106, 22, 225501 (2011)
  23. S.N. Taraskin, Y.L. Loh, G. Natarajan, S.R. Elliott. Phys. Rev. Lett. 86, 7, 1255 (2001)
  24. D.A. Parshin, H.R. Schober, V.L. Gurevich. Phys. Rev. B 76, 6, 064206 (2007)
  25. W. Gotze, M.R. Mayr. Phys. Rev. E 61, 1, 587 (2000)
  26. M. Baggioli, R. Milkus, A. Zaccone. Phys. Rev. E 100, 6, 062131 (2019)
  27. T. Grigera, V. Martin-Mayor, G. Parisi, P. Verrocchio. J.Phys.: Condens. Mater 14, 9, 2167 (2002)
  28. M.L. Manning, A.J. Liu. EPL 109, 3, 36002 (2015)
  29. Y.M. Beltukov, V.I. Kozub, D.A. Parshin. Phys. Rev. B 87, 13, 134203 (2013)
  30. Y.M. Beltukov, D.A. Parshin. Phys. Solid State 53, 1, 151 (2011)
  31. Y.M. Beltukov, D.A. Parshin. JETP Lett. 104, 8, 552 (2016)
  32. D.A. Conyuh, Y.M. Beltukov. Phys. Solid State 62, 4, 689 (2020)
  33. D.A. Conyuh, Y.M. Beltukov. Phys. Rev. E 103, 4--1, 042608 (2021)
  34. U. Buchenau, Y.M. Galperin, V. Gurevich, D. Parshin, M. Ramos, H. Schober. Phys. Rev. B 46, 5, 2798 (1992)
  35. M. Shimada, H. Mizuno, A. Ikeda. Soft Matter 16, 31, 7279 (2020)
  36. A.A. Maradudin, E.W. Montroll, G.H. Weiss, I. Ipatova. Theory of lattice dynamics in the harmonic approximation, vol. 3. Academic Press, N. Y. (1963)
  37. Y.M. Beltukov. JETP Lett. 101, 5, 345 (2015)
  38. C.S. O'Hern, L.E. Silbert, A.J. Liu, S.R. Nagel. Phys. Rev. E 68, 1, 011306 (2003)
  39. J.C. Maxwell. Phil. Mag. J.Sci. 27, 182, 294 (1864)
  40. J. Wishart. Biometrika 20A, 1/2, 32 (1928)
  41. V.A. Marchenko, L.A. Pastur. Mathematical Collection 72, 4, 507 (1967)
  42. J. Bun, J.P. Bouchaud, M. Potters. Phys. Reports 666, 1 (2017)
  43. D.A. Conyuh, Y.M. Beltukov. Phys. Rev. B 103, 10, 104204 (2021)
  44. Z. Burda, A. Gorlich, J. Jurkiewicz, B. Wac aw. Eur. Phys.J. B 49, 3, 319 (2006)
  45. I.J. Zucker. J. Status Phys. 145, 3, 591 (2011)
  46. D.A. Conyuh, Y.M. Beltukov. JETP Lett. 112, 8, 513 (2020)
  47. A.V. Mokshin, R.M. Yulmetyev, P. Hanggi. Phys. Rev. Lett. 95, 20, 200601 (2005)
  48. A.V. Mokshin. arXiv:1312.2085 [cond-mat, physics:physics] (2013).

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