RSS feeds
ÐóññêèéEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2016

 / 

May

←  →

Reviews of topical problems


Discrete breathers in crystals

 a, b,  b,  c, b,  d
a Tomsk State University, prosp. Lenina 36, Tomsk, 634050, Russian Federation
b Institute for Metals Superplasticity Problems of RAS, Khalturina st. 39, Ufa, 450001, Russian Federation
c Mikheev Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, S Kovalevskoi str. 18, Ekaterinburg, 620108, Russian Federation
d Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid, 28040, Spain

It is well known that periodic discrete defect-containing systems, in addition to traveling waves, support vibrational defect-localized modes. It turned out that if a periodic discrete system is nonlinear, it can support spatially localized vibrational modes as exact solutions even in the absence of defects. Since the nodes of the system are all on equal footing, it is only through the special choice of initial conditions that a group of nodes can be found on which such a mode, called a discrete breather (DB), will be excited. The DB frequency must be outside the frequency range of the small-amplitude traveling waves. Not resonating with and expending no energy on the excitation of traveling waves, a DB can theoretically conserve its vibrational energy forever provided no thermal vibrations or other perturbations are present. Crystals are nonlinear discrete systems, and the discovery in them of DBs was only a matter of time. Experimental studies of DBs encounter major technical difficulties, leaving atomistic computer simulations as the primary investigation tool. Despite the definitive evidence for the existence of DBs in crystals, their role in solid state physics still remains unclear. This review addresses some of the problems that are specific to real crystal physics and which went undiscussed in the classical literature on DBs. In particular, the interaction of a moving DB with lattice defects is examined, how elastic lattice deformations influence the properties of DBs and the possibility of their existence is discussed, recent studies of the effect of nonlinear lattice perturbations on the crystal electron subsystem are presented, etc.

Fulltext pdf (1.2 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2016.02.037729
Keywords: crystal lattice, nonlinear oscillations, discrete breather, crystal lattice defect
PACS: 05.45.−a, 05.45.Yv, 63.20.−e (all)
DOI: 10.3367/UFNe.2016.02.037729
URL: https://ufn.ru/en/articles/2016/5/b/
000381177800002
2-s2.0-84981332980
2016PhyU...59..446D
Citation: Dmitriev S V, Korznikova E A, Baimova J A, Velarde M G "Discrete breathers in crystals" Phys. Usp. 59 446–461 (2016)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 27th, July 2015, revised: 30th, January 2016, 9th, February 2016

Îðèãèíàë: Äìèòðèåâ Ñ Â, Êîðçíèêîâà Å À, Áàèìîâà Þ À, Âåëàðäå Ì Ã «Äèñêðåòíûå áðèçåðû â êðèñòàëëàõ» ÓÔÍ 186 471–488 (2016); DOI: 10.3367/UFNr.2016.02.037729

References (241) Cited by (132) ↓ Similar articles (20)

  1. Bebikhov Yu V, Naumov E K et al Communications In Nonlinear Science And Numerical Simulation 132 107897 (2024)
  2. Bachurina O V, Murzaev R T et al Communications In Nonlinear Science And Numerical Simulation 132 107890 (2024)
  3. Bachurin D V, Murzaev R T et al Physica D: Nonlinear Phenomena 470 134344 (2024)
  4. De Santis D, Guarcello C et al Communications In Nonlinear Science And Numerical Simulation 131 107796 (2024)
  5. Betancur-Silvera C A, Espinosa-Cerón A et al Axioms 13 338 (2024)
  6. Chong Ch, Kim B et al Phys. Rev. Research 6 (2) (2024)
  7. Shcherbinin S A, Bebikhov Yu V et al Communications In Nonlinear Science And Numerical Simulation 135 108033 (2024)
  8. Kolesnikov I D, Shcherbinin S A et al Chaos, Solitons & Fractals 178 114339 (2024)
  9. Kosarev I V, Shcherbinin S A et al Computational Materials Science 231 112597 (2024)
  10. Katz S, Orly I et al Journal Of Sound And Vibration 591 118493 (2024)
  11. Xiong D, Dmitriev S V Physica A: Statistical Mechanics And Its Applications 646 129902 (2024)
  12. Shepelev I A, Soboleva E G et al Chaos, Solitons & Fractals 183 114885 (2024)
  13. Shcherbinin S A, Kazakov A M et al Phys. Rev. E 109 (1) (2024)
  14. Ribama R A A, Djoufack Z I, Nguenang J P Eur. Phys. J. Plus 139 (2) (2024)
  15. Ryabov D S, Chechin G M et al Nonlinear Dyn 111 8135 (2023)
  16. Akhalya J, Latha M M Physica B: Condensed Matter 668 415218 (2023)
  17. Bachurina O V, Murzaev R T et al Modelling Simul. Mater. Sci. Eng. 31 075009 (2023)
  18. Naumov E K, Bebikhov Yu V et al Phys. Rev. E 107 (3) (2023)
  19. Savin A V, Dmitriev S V Phys. Rev. E 107 (5) (2023)
  20. Boudjemâa A, Elhadj Kh M Chaos, Solitons & Fractals 176 114133 (2023)
  21. Bostrem I G, Ovchinnikov A S et al Theor Math Phys 214 250 (2023)
  22. Naumov E K, Bebikhov Yu V, Dmitriev S V Phys. Solid State 65 6 (2023)
  23. Cherednichenko A I, Eremin A M i dr (1(47)) 50 (2023)
  24. Bostrem I G, Ekomasov E G et al J. Commun. Technol. Electron. 68 70 (2023)
  25. Gulyaev V P, Petrov P P, Stepanova K V Procedia Structural Integrity 50 100 (2023)
  26. Bostrem I G, Ekomasov E G et al Radiotehnika I èlektronika 68 75 (2023)
  27. Morkina A Yu, Singh M et al Phys. Solid State 64 446 (2022)
  28. Bachurina O V, Murzaev R T et al Eur. Phys. J. B 95 (7) (2022)
  29. Shcherbinin S A, Krylova K A et al Communications In Nonlinear Science And Numerical Simulation 104 106039 (2022)
  30. Babicheva R I, Semenov A S et al Phys. Rev. E 105 (6) (2022)
  31. Bayazitov A M, Bachurin D V et al Materials 15 7260 (2022)
  32. Upadhyaya A, Semenova M N et al Communications In Nonlinear Science And Numerical Simulation 112 106541 (2022)
  33. Gulyaev V P, Petrov P P, Stepanova K V Procedia Structural Integrity 40 180 (2022)
  34. (MATHEMATICS EDUCATION AND LEARNING) Vol. MATHEMATICS EDUCATION AND LEARNINGDelocalized nonlinear vibrational modes in Fermi-Pasta-Ulam triangular lattice with an on-site potentialLeysanGaliakhmetovaAlexanderSemenov2633 (2022) p. 020028
  35. Savin A V, Dmitriev S V EPL 137 36005 (2022)
  36. Semenov A, Semenova M et al Smart Innovation, Systems And Technologies Vol. Robotics, Machinery and Engineering Technology for Precision AgricultureMathematical Modeling of Physical Processes in Metals and Ordered Alloys247 Chapter 40 (2022) p. 437
  37. Savin A V, Korznikova E A, Dmitriev S V Journal Of Sound And Vibration 520 116627 (2022)
  38. Xu B, Zhang Ju et al Commun. Theor. Phys. 74 065601 (2022)
  39. Bostrem I G, Sinitsyn V E et al IEEE Trans. Magn. 58 1 (2022)
  40. Chetverikov A P, Ebeling W et al 31 (8) (2021)
  41. Bostrem I G, Ekomasov E G et al Phys. Rev. B 104 (21) (2021)
  42. Maltsev D A, Lomachuk Yu V et al Phys. Rev. B 103 (20) (2021)
  43. Bochkarev A V, Zemlyanukhin A I Nonlinear Dyn 104 4163 (2021)
  44. Watanabe Y, Izumi Sh J. Phys. Soc. Jpn. 90 014003 (2021)
  45. Babicheva R I, Semenov A S et al Phys. Rev. E 103 (5) (2021)
  46. Singh M, Morkina A Y et al J Nonlinear Sci 31 (1) (2021)
  47. Murzaev R T, Semenov A S et al Russ Phys J 64 293 (2021)
  48. Dmitriev S V, Morkina A Y et al Comp. Contin. Mech. 14 444 (2021)
  49. Bostrem I, Sinitsyn V et al Lett. Mater. 11 109 (2021)
  50. Savin A V, Sunagatova I R, Dmitriev S V Phys. Rev. E 104 (3) (2021)
  51. Zakharov P, Dmitriev S, Korznikova E Lett. Mater. 11 338 (2021)
  52. Bachurina O V, Kudreyko A A Eur. Phys. J. B 94 (11) (2021)
  53. Bostrem I G, Sinitsyn V E et al 11 (1) (2021)
  54. Chong Ch, Wang Y et al New J. Phys. 23 043008 (2021)
  55. Shepelev I A, Korznikova E A et al Physics Letters A 384 126032 (2020)
  56. Sunagatova I R, Subkhangulova A M et al IOP Conf. Ser.: Mater. Sci. Eng. 1008 012073 (2020)
  57. Sergeev K S, Elizarov E M, Chetverikov A P Tech. Phys. Lett. 46 1068 (2020)
  58. Cartwright Ju H E Phil. Trans. R. Soc. A. 378 20190534 (2020)
  59. Korznikova E A, Morkina A Y et al Eur. Phys. J. B 93 (7) (2020)
  60. Hadipour F, Saadatmand D et al Physics Letters A 384 126100 (2020)
  61. Velarde M G, Chetverikov A P et al 153 (4) (2020)
  62. Zakharov P V, Starostenkov M D et al J. Phys.: Conf. Ser. 1697 012076 (2020)
  63. Krylova K A, Korznikova E A et al Eur. Phys. J. B 93 (2) (2020)
  64. Yi X, Liu Sh Nuclear Physics B 951 114884 (2020)
  65. Bachurina O V, Kudreyko A A Computational Materials Science 182 109737 (2020)
  66. Ryabov D S, Chechin G M et al Nonlinear Dyn 102 2793 (2020)
  67. Sergeev K S, Chetverikov A P, del Rio E Nonlinear Dyn 102 1813 (2020)
  68. Krylova K A, Lobzenko I P et al Computational Materials Science 180 109695 (2020)
  69. Semenov A, Murzaev R et al Lett. Mater. 10 185 (2020)
  70. Sun Zh-Yu, Yu X Phys. Rev. E 101 (6) (2020)
  71. Dmitriev S V, Semenov A S et al J. Micromech. Mol. Phys. 05 2050010 (2020)
  72. Lomachuk Yu V, Maltsev D A et al Phys. Chem. Chem. Phys. 22 17922 (2020)
  73. (MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2020): Proceeding of the 14th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures) Vol. MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2020): Proceeding of the 14th International Conference on Mechanics, Resource and Diagnostics of Materials and StructuresBroadening change of diffraction line profile under elastic eccentric tension of a composite (three-layer) compact sampleV. P.GulyaevP. P.PetrovK. V.Stepanova2315 (2020) p. 030009
  74. Sun Zh-Yu, Yu X OSA Continuum 2 2630 (2019)
  75. Manley M E, Hellman O et al Nat Commun 10 (1) (2019)
  76. Cuevas–Maraver Jesús, Kevrekidis P G Nonlinear Systems And Complexity Vol. A Dynamical Perspective on the ɸ4 ModelDiscrete Breathers in $$phi ^4$$ and Related Models26 Chapter 7 (2019) p. 137
  77. Zakharov P V, Lucenko I S et al J. Phys.: Conf. Ser. 1353 012061 (2019)
  78. Bachurina O V Computational Materials Science 160 217 (2019)
  79. Abdullina D U, Semenova M N et al Eur. Phys. J. B 92 (11) (2019)
  80. Nikitiuk A S, Korznikova E A et al Math.Biol.Bioinf. 14 137 (2019)
  81. Penati T, Koukouloyannis V et al Physica D: Nonlinear Phenomena 398 92 (2019)
  82. Krylova K A, Baimova J A et al Physics Letters A 383 1583 (2019)
  83. Zakharov P V, Cherednichenko A I et al J. Phys.: Conf. Ser. 1399 022002 (2019)
  84. Shcherbinin S A, Semenova M N et al Phys. Solid State 61 2139 (2019)
  85. Bachurina O V Modelling Simul. Mater. Sci. Eng. 27 055001 (2019)
  86. Starostenkov M D, Zakharov P V, Medvedev N N Izvestiya AltGU (4(108)) 49 (2019)
  87. Babicheva R I, Evazzade I et al Computational Materials Science 163 248 (2019)
  88. Korznikova E A, Shcherbinin S A et al Physica Status Solidi (b) 256 (1) (2019)
  89. Zakharov P V, Korznikova E A et al Surface Science 679 1 (2019)
  90. Chetverikov A P, Ebeling W et al Phys. Rev. E 100 (5) (2019)
  91. Zakharov P V, Starostenkov M D et al Phys. Solid State 61 2160 (2019)
  92. Korznikova E, Sunagatova I et al Lett. Mater. 9 386 (2019)
  93. Chetverikov A P, Ebeling W et al Eur. Phys. J. B 92 (6) (2019)
  94. Bachurina O V, Murzaev R T, Bachurin D V J. Micromech. Mol. Phys. 04 1950001 (2019)
  95. Dubinko V, Laptev D et al Computational Materials Science 158 389 (2019)
  96. Palmero F, English L Q et al Phys. Rev. E 99 (3) (2019)
  97. Korznikova E A, Shepelev I A et al J. Exp. Theor. Phys. 127 1009 (2018)
  98. Chetverikov A P, Ebeling W et al Int. J. Dynam. Control 6 1376 (2018)
  99. Bayazitov A M, Korznikova E A et al IOP Conf. Ser.: Mater. Sci. Eng. 447 012040 (2018)
  100. Lazarides N, Tsironis G P Physics Reports 752 1 (2018)
  101. Bachurina O V, Murzaev R T et al Phys. Solid State 60 989 (2018)
  102. Bachurina O V, Murzaev R T et al IOP Conf. Ser.: Mater. Sci. Eng. 447 012033 (2018)
  103. Dmitriev S V, Baimova Ju A et al Nonlinear Systems, Vol. 2 Understanding Complex Systems Chapter 7 (2018) p. 175
  104. Evazzade I, Roknabadi M R et al Eur. Phys. J. B 91 (7) (2018)
  105. Abdullina D U, Semenova M N et al IOP Conf. Ser.: Mater. Sci. Eng. 447 012060 (2018)
  106. Moradi M A, Saadatmand D et al Phys. Rev. E 98 (2) (2018)
  107. Korznikova E A, Shepelev I A et al IOP Conf. Ser.: Mater. Sci. Eng. 447 012030 (2018)
  108. Watanabe Y, Nishida T et al Physics Letters A 382 1957 (2018)
  109. Dmitriev S V, Korznikova E A, Chetverikov A P J. Exp. Theor. Phys. 126 347 (2018)
  110. Saadatmand D, Xiong D et al Phys. Rev. E 97 (2) (2018)
  111. Liew K M, Zhang Ya, Zhang L W 1 (1) (2017)
  112. Zakharov P V, Eremin A M et al 2017 Dynamics of Systems, Mechanisms and Machines (Dynamics), (2017) p. 1
  113. Korznikova E A, Bachurin D V et al Eur. Phys. J. B 90 (2) (2017)
  114. Baimova J A, Murzaev R T, Rudskoy A I Physics Letters A 381 3049 (2017)
  115. Savin A V, Kivshar Yu S Phys. Rev. B 96 (6) (2017)
  116. Barani E, Korznikova E A et al Physics Letters A 381 3553 (2017)
  117. Zakharov P V, Starostenkov M D, Dmitriev S V Bull. Russ. Acad. Sci. Phys. 81 1322 (2017)
  118. Zakharov P V, Starostenkov M D et al Phys. Solid State 59 223 (2017)
  119. Zakharov P V, Dmitriev S V et al J. Exp. Theor. Phys. 125 913 (2017)
  120. Dmitriev S V NOLTA 8 85 (2017)
  121. Murzaev R T, Bachurin D V et al Physics Letters A 381 1003 (2017)
  122. Zhang L W, Zhang Ya, Liew K M Applied Mathematical Modelling 49 691 (2017)
  123. Barani E, Lobzenko I P et al Eur. Phys. J. B 90 (3) (2017)
  124. Dmitriev S V, Medvedev N N et al Physica Rapid Research Ltrs 11 (12) (2017)
  125. Xiong D, Saadatmand D, Dmitriev S V Phys. Rev. E 96 (4) (2017)
  126. Evazzade I, Lobzenko I P et al Phys. Rev. B 95 (3) (2017)
  127. Chetverikov A P, Shepelev I A et al Computational Condensed Matter 13 59 (2017)
  128. Dubinko V I, Mazmanishvili A S et al J. Micromech. Mol. Phys. 01 1650010 (2016)
  129. Zakharov P V, Korznikova E A et al 2016 Dynamics of Systems, Mechanisms and Machines (Dynamics), (2016) p. 1
  130. Velarde M G Eur. Phys. J. Spec. Top. 225 921 (2016)
  131. Velarde M G, Chetverikov A P et al Eur. Phys. J. B 89 (10) (2016)
  132. Dmitriev S V, Korznikova E A et al Physica Status Solidi (b) 253 1310 (2016)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions