Solitons in nondegenerate bistable systems

L.I. Manevich^a, A.V. Savin^a, V.V. Smirnov^a, S.N. Volkov^b, c
^aSemenov Federal Research Center for Chemical Physics, Russian Academy of Sciences, ul. Kosygina, 4, Moscow, 119991, Russian Federation
^bLomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation
^cThe Johns Hopkins University, Baltimore, Maryland, USA

Soliton-like elementary excitations in bistable systems with nondegenerate equilibrium positions are considered. Models of specific physical systems, which can be described on the basis of this approach by a single Hamiltonian, are discussed. A detailed analysis of continuum equations of motion demonstrates the existence in such systems both of nontopological solitons participating in energy transfer and of topological solitons responsible for transitions between different equilibrium positions (transfer of a state). The results of a computer simulation are compared with the results of analytic investigations.

PACS: 64.60.−i
DOI: 10.1070/PU1994v037n09ABEH000043
URL: https://ufn.ru/en/articles/1994/9/b/
Web of Science

A1994PQ23800002
Citation: Manevich L I, Savin A V, Smirnov V V, Volkov S N "Solitons in nondegenerate bistable systems" Phys. Usp. 37 859–879 (1994)

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Оригинал: Маневич Л И, Савин А В, Смирнов В В, Волков С Н «Солитоны в невырожденных бистабилъных системах» УФН 164 937–958 (1994); DOI: 10.3367/UFNr.0164.199409b.0937

References (57) Cited by (32) Similar articles (20) ↓

A.V. Savin, L.I. Manevich et al “Nonlinear dynamics of zigzag molecular chains” 42 245–260 (1999)
L.I. Klushin, A.M. Skvortsov, A.A. Gorbunov “An exactly solvable model for first- and second-order transitions” 41 639–649 (1998)
A.I. Olemskoi “Theory of stochastic systems with singular multiplicative noise” 41 269–301 (1998)
S.M. Stishov “Quantum phase transitions” 47 789–795 (2004)
V.P. Skripov, A.V. Skripov “Spinodal decomposition (phase transitions via unstable states)” 22 389–410 (1979)
G.A. Martynov “The problem of phase transitions in statistical mechanics” 42 517–543 (1999)
I.K. Kamilov, A.K. Murtazaev, Kh.K. Aliev “Monte Carlo studies of phase transitions and critical phenomena” 42 689–709 (1999)
I.S. Lyubutin, A.G. Gavriliuk “Research on phase transformations in 3d-metal oxides at high and ultrahigh pressure: state of the art” 52 989–1017 (2009)
Yu.A. Izyumov “Solitons in quasi-one-dimensional magnetic materials and their study by neutron scattering” 31 689–712 (1988)
A.L. Fradkov “Application of cybernetic methods in physics” 48 103–127 (2005)
R.S. Berry, B.M. Smirnov “Phase transitions and adjacent phenomena in simple atomic systems” 48 345–388 (2005)
A.V. Khomenko, I.A. Lyashenko “Statistical theory of the boundary friction of atomically flat solid surfaces in the presence of a lubricant layer” 55 1008–1034 (2012)
N.A. Veretenov, N.N. Rosanov, S.V. Fedorov “Laser solitons: topological and quantum phenomena” 65 131–162 (2022)
A.M. Kosevich “Dynamical theory of dislocations” 7 837–854 (1965)
A.G. Merzhanov, É.N. Rumanov “Nonlinear effects in macroscopic kinetics” 30 293–316 (1987)
A.S. Davydov “Solitons in quasi-one-dimensional molecular structures” 25 898–918 (1982)
V.N. Binhi, A.V. Savin “Effects of weak magnetic fields on biological systems: physical aspects” 46 259–291 (2003)
V.L. Ermolaev “Energy transfer in organic systems involving the triplet state III. Rigid solutions and crystals” 6 333–358 (1963)
A.P. Protogenov “Anyon superconductivity in strongly-correlated spin systems” 35 (7) 535–571 (1992)
D.K. Belashchenko “Diffusion mechanisms in disordered systems: computer simulation” 42 297–319 (1999)

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