Correlation properties of non-affine deformations in the framework of random matrix theory
Babin D. V.1,2, Conyuh D. A.
1, Beltukov Y. M.1
1Ioffe Institute, St. Petersburg, Russia
2Alferov Federal State Budgetary Institution of Higher Education and Science Saint Petersburg National Research Academic University of the Russian Academy of Sciences, St. Petersburg, Russia
Email: babin.2002@bk.ru, conyuh.dmitrij@yandex.ru
Within the framework of the developed model of correlated random matrices, analytical expressions for pair correlations of non-affine components of atomic displacements in a disordered structure are obtained. Correlations of spatial derivatives of non-affine deformations corresponding to correlations between variations in the density of matter arising during deformation are considered. It is shown that such correlations have a delta-shaped component, which corresponds to the statistics of white noise, as well as a negative correlation, exponentially decreasing on the scale of non-affineity. Keywords: amorphous dielectrics, non-affine deformations, random correlated matrices, Ioffe-Regel length.
- F. Leonforte, R. Boissi\`ere, A. Tanguy, J.P. Wittmer, J.-L. Barrat, Phys. Rev. B 72, 22, 224206 (2005)
- C.E. Maloney. Phys. Rev. Lett. 97, 3, 035503 (2006)
- R. Jana, L. Pastewka. J. Phys. Mater. 2, 4, 045006 (2019)
- Q. Wen, A. Basu, P.A. Janmey, A.G. Yodh, Soft Matter 8, 31, 8039 (2012)
- E. Del Gado, P. Ilg, M. Kroger, H.C. Ottinger. Phys. Rev. Lett. 101, 9, 095501 (2008)
- C. Goldenberg, A. Tanguy, J.-L. Barrat. Europhysics Letters (EPL) 80, 1, 16003 (2007)
- F. Leonforte, A. Tanguy, J.P. Wittmer, J.-L. Barrat. Phys. Rev. Lett. 97, 5, 055501 (2006)
- M. Baggioli, M. Landry, A. Zaccone. Phys. Rev. E 105, 2, 024602 (2022)
- S. Gelin, H. Tanaka, A. Lema\^itre. Nat. Mater. 15, 11, 1177 (2016)
- S. Chakraborty, K. Ramola. Soft Matter 20, 25, 4895 (2024)
- A.A. Semenov, D.A. Konyukh, Ya.M. Beltyukov. FTT 64, 8, 1039 (2022). (in Russian)
- Y.M. Beltukov, D.A. Conyuh, I.A. Solov'yov. Phys. Rev. E 105, 1, L012501 (2022)
- D.A. Conyuh, A.A. Semenov, Y.M. Beltukov. Phys. Rev. E 108, 4, 045004 (2023)
- A. Lema\^itre, C. Maloney. J. Stat. Phys. 123, 2, 415 (2006)
- C. Maloney, A. Lema\^itre. Phys. Rev. Lett. 93, 19, 195501 (2004)
- I. Kriuchevskyi, V.V. Palyulin, R. Milkus, R.M. Elder, T.W. Sirk, A. Zaccone. Phys. Rev. B 102, 2, 024108 (2020)
- S. Alexander. Phys. Rep. 296, 2, 65 (1998)
- E. Lerner, E. Bouchbinder. Phys. Rev. E 97, 3, 032140 (2018)
- B.A. DiDonna, T.C. Lubensky. Phys. Rev. E 72, 6, 066619 (2005)
- A. Tanguy, J.P. Wittmer, F. Leonforte, J.-L. Barrat. Phys. Rev. B 66, 17, 174205 (2002)
- Y.M. Beltukov, V.I. Kozub, D.A. Parshin. Phys. Rev. B 87, 13, 134203 (2013)
- D.A. Conyuh, Y.M. Beltukov. Phys. Rev. B 103, 10, 104204 (2021)
- M. T mterud, S.D. Eder, C. Buchner, L. Wondraczek, I. Simonsen, W. Schirmacher, J.R. Manson, B. Holst. Nat. Phys. 19, 12, 1910 (2023)
- Ya.M. Beltyukov, D.A. Parshin. FTT 53, 1, 142 (2011). (in Russian)
- L. Pastur, M. Shcherbina. Eigenvalue Distribution of Large Random Matrices. American Mathematical Society, (2011). 601 p
- M.V. Sadovsky. Diagrammatika. Institute of Computer Studies, Yekaterinburg (2019). 294 s. (in Russian)
- B. Holst, G. Alexandrowicz, N. Avidor, G. Benedek, G. Bracco, W.E. Ernst, D. Farias, A.P. Jardine, K. Lefmann, J.R. Manson, R. Marquardt, S.M. Artes, S.J. Sibener, J.W. Wells, A. Tamtogl, and W. Allison. Phys. Chem. Chem. Phys. 23, 13, 7653 (2021).
Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.
Дата начала обработки статистических данных - 27 января 2016 г.