Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain

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Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain. / Singh, Mohit; Korsnikova, Elena A.; Korznikova, Elena A.; Dubinko, Volodymyr I.; Terentyev, Dmitry; Xiong, Daxing; Naimark, Oleg B.; Gani, Vakhid A.; Dmitriev, Sergey V.

In: Journal of Nonlinear Science, 07.01.2021, p. 1-27.

Research output: Contribution to journalArticle

Harvard

Singh, M, Korsnikova, EA, Korznikova, EA, Dubinko, VI, Terentyev, D, Xiong, D, Naimark, OB, Gani, VA & Dmitriev, SV 2021, 'Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain', Journal of Nonlinear Science, pp. 1-27. https://doi.org/10.1007/s00332-020-09663-4

APA

Singh, M., Korsnikova, E. A., Korznikova, E. A., Dubinko, V. I., Terentyev, D., Xiong, D., ... Dmitriev, S. V. (2021). Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain. Journal of Nonlinear Science, 1-27. [31:12]. https://doi.org/10.1007/s00332-020-09663-4

Vancouver

Singh M, Korsnikova EA, Korznikova EA, Dubinko VI, Terentyev D, Xiong D et al. Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain. Journal of Nonlinear Science. 2021 Jan 7;1-27. 31:12. https://doi.org/10.1007/s00332-020-09663-4

Author

Singh, Mohit ; Korsnikova, Elena A. ; Korznikova, Elena A. ; Dubinko, Volodymyr I. ; Terentyev, Dmitry ; Xiong, Daxing ; Naimark, Oleg B. ; Gani, Vakhid A. ; Dmitriev, Sergey V. / Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain. In: Journal of Nonlinear Science. 2021 ; pp. 1-27.

Bibtex - Download

@article{d2f54a6c8fe14f3daff62fc3432c72f6,
title = "Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain",
abstract = "A nonlinear chain with sixth-order polynomial on-site potential is used to analyze the evolution of the total-to-kinetic-energy ratio during development of modulational instability of extended nonlinear vibrational modes. For the on-site potential of hardtype (soft-type) anharmonicity, the instability of q = π mode (q = 0 mode) results in the appearance of long-living discrete breathers (DBs) that gradually radiate their energy and eventually the system approaches thermal equilibrium with spatially uniform and temporally constant temperature. In the hard-type (soft-type) anharmonicity case, the total-to-kinetic-energy ratio is minimal (maximal) in the regime of maximal energy localization by DBs. It is concluded that DBs affect specific heat of the nonlinear chain, and for the case of hard-type (soft-type) anharmonicity, they reduce (increase) the specific heat.",
keywords = "Modelling, Iron, Breathers",
author = "Mohit Singh and Korsnikova, {Elena A.} and Korznikova, {Elena A.} and Dubinko, {Volodymyr I.} and Dmitry Terentyev and Daxing Xiong and Naimark, {Oleg B.} and Gani, {Vakhid A.} and Dmitriev, {Sergey V.}",
note = "Score=10",
year = "2021",
month = "1",
day = "7",
doi = "10.1007/s00332-020-09663-4",
language = "English",
pages = "1--27",
journal = "Journal of Nonlinear Science",
issn = "0938-8974",
publisher = "Springer Nature",

}

RIS - Download

TY - JOUR

T1 - Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain

AU - Singh, Mohit

AU - Korsnikova, Elena A.

AU - Korznikova, Elena A.

AU - Dubinko, Volodymyr I.

AU - Terentyev, Dmitry

AU - Xiong, Daxing

AU - Naimark, Oleg B.

AU - Gani, Vakhid A.

AU - Dmitriev, Sergey V.

N1 - Score=10

PY - 2021/1/7

Y1 - 2021/1/7

N2 - A nonlinear chain with sixth-order polynomial on-site potential is used to analyze the evolution of the total-to-kinetic-energy ratio during development of modulational instability of extended nonlinear vibrational modes. For the on-site potential of hardtype (soft-type) anharmonicity, the instability of q = π mode (q = 0 mode) results in the appearance of long-living discrete breathers (DBs) that gradually radiate their energy and eventually the system approaches thermal equilibrium with spatially uniform and temporally constant temperature. In the hard-type (soft-type) anharmonicity case, the total-to-kinetic-energy ratio is minimal (maximal) in the regime of maximal energy localization by DBs. It is concluded that DBs affect specific heat of the nonlinear chain, and for the case of hard-type (soft-type) anharmonicity, they reduce (increase) the specific heat.

AB - A nonlinear chain with sixth-order polynomial on-site potential is used to analyze the evolution of the total-to-kinetic-energy ratio during development of modulational instability of extended nonlinear vibrational modes. For the on-site potential of hardtype (soft-type) anharmonicity, the instability of q = π mode (q = 0 mode) results in the appearance of long-living discrete breathers (DBs) that gradually radiate their energy and eventually the system approaches thermal equilibrium with spatially uniform and temporally constant temperature. In the hard-type (soft-type) anharmonicity case, the total-to-kinetic-energy ratio is minimal (maximal) in the regime of maximal energy localization by DBs. It is concluded that DBs affect specific heat of the nonlinear chain, and for the case of hard-type (soft-type) anharmonicity, they reduce (increase) the specific heat.

KW - Modelling

KW - Iron

KW - Breathers

UR - https://ecm.sckcen.be/OTCS/llisapi.dll/open/41849798

U2 - 10.1007/s00332-020-09663-4

DO - 10.1007/s00332-020-09663-4

M3 - Article

SP - 1

EP - 27

JO - Journal of Nonlinear Science

JF - Journal of Nonlinear Science

SN - 0938-8974

M1 - 31:12

ER -

ID: 7001603