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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2021, Volume 113, Issue 9, Pages 612–619
DOI: https://doi.org/10.31857/S1234567821090081 (Mi jetpl6421) 		 
This article is cited in 3 scientific papers (total in 3 papers)

CONDENSED MATTER

Ultrasonic dissipative soliton in a nonequilibrium paramagnetic crystal

S. V. Sazonovabc

a National Research Center Kurchatov Institute, Moscow, 123182 Russia
b Moscow State University, Moscow, 119991 Russia
c Moscow Aviation Institute (National Research University), Moscow, 125993 Russia
Full-text PDF (191 kB) Citations (3)
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DOI: https://doi.org/10.31857/S1234567821090081
Abstract: The propagation of an ultrasonic gigahertz pulse in a low-temperature crystal containing paramagnetic ions with the inversed population of Zeeman sublevels of the resonance spin–phonon transition has been studied. An integrodifferential parabolic equation with a nonlinear autonomous source and irreversible losses has been obtained in the fast phase relaxation approximation for a local relative deformation of a pulse. The exact analytical solution of this equation in the form of a dissipative soliton with an asymmetric temporal profile has been obtained and analyzed in detail. The velocity of the soliton is close to the linear group velocity of ultrasound. It has shown that such a soliton can be formed only if irreversible losses caused by processes that are not related to spin–phonon transitions exist in addition to losses caused by the phase relaxation of spin–phonon transitions.
Funding agency Grant number
Russian Science Foundation 17-11-01157
This work was supported by the Russian Science Foundation (project no. 17-11-01157).
Received: 05.04.2021
Revised: 05.04.2021
Accepted: 05.04.2021
English version:
Journal of Experimental and Theoretical Physics Letters, 2021, Volume 113, Issue 9, Pages 592–598
DOI: https://doi.org/10.1134/S0021364021090101
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Sazonov, “Ultrasonic dissipative soliton in a nonequilibrium paramagnetic crystal”, Pis'ma v Zh. Èksper. Teoret. Fiz., 113:9 (2021), 612–619; JETP Letters, 113:9 (2021), 592–598
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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