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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (33) Similar articles (20) ↓

A.V. Savin, L.I. Manevich et al “Nonlinear dynamics of zigzag molecular chains” Phys. Usp. 42 245–260 (1999)
Yu.A. Izyumov “Solitons in quasi-one-dimensional magnetic materials and their study by neutron scattering” Sov. Phys. Usp. 31 689–712 (1988)
A.L. Fradkov “Application of cybernetic methods in physics” Phys. Usp. 48 103–127 (2005)
V.N. Ageev, O.P. Burmistrova, Yu.A. Kuznetsov “Desorption stimulated by electronic excitations” Sov. Phys. Usp. 32 588–604 (1989)
S.M. Stishov “Quantum phase transitions” Phys. Usp. 47 789–795 (2004)
I.S. Lyubutin, A.G. Gavriliuk “Research on phase transformations in 3d-metal oxides at high and ultrahigh pressure: state of the art” Phys. Usp. 52 989–1017 (2009)
V.P. Skripov, A.V. Skripov “Spinodal decomposition (phase transitions via unstable states)” Sov. Phys. Usp. 22 389–410 (1979)
V.M. Murav’ev, I.V. Kukushkin “Collective plasma excitations in two-dimensional electron systems” Phys. Usp. 63 975–993 (2020)
A.I. Olemskoi “Theory of stochastic systems with singular multiplicative noise” Phys. Usp. 41 269–301 (1998)
L.I. Klushin, A.M. Skvortsov, A.A. Gorbunov “An exactly solvable model for first- and second-order transitions” Phys. Usp. 41 639–649 (1998)
G.A. Martynov “The problem of phase transitions in statistical mechanics” Phys. Usp. 42 517–543 (1999)
I.K. Kamilov, A.K. Murtazaev, Kh.K. Aliev “Monte Carlo studies of phase transitions and critical phenomena” Phys. Usp. 42 689–709 (1999)
A.V. Khomenko, I.A. Lyashenko “Statistical theory of the boundary friction of atomically flat solid surfaces in the presence of a lubricant layer” Phys. Usp. 55 1008–1034 (2012)
V.N. Binhi, A.V. Savin “Effects of weak magnetic fields on biological systems: physical aspects” Phys. Usp. 46 259–291 (2003)
V.E. Bisti, A.B. Van’kov et al “Magnetoexcitons in two-dimensional electronic systems” Phys. Usp. 58 315–329 (2015)
R.S. Berry, B.M. Smirnov “Phase transitions and adjacent phenomena in simple atomic systems” Phys. Usp. 48 345–388 (2005)
A.V. Eletskii “Excimer lasers” Sov. Phys. Usp. 21 502–521 (1978)
V.E. Zakharov, E.A. Kuznetsov “Solitons and collapses: two evolution scenarios of nonlinear wave systems” Phys. Usp. 55 535–556 (2012)
M.Ya. Marov, S.I. Ipatov “Migration processes in the Solar System and their role in the evolution of the Earth and planets” Phys. Usp. 66 2–31 (2023)
V.G. Makhan’kov, Yu.P. Rybakov, V.I. Sanyuk “Localised nontopological structures: construction of solutions and stability problems” Phys. Usp. 37 113–137 (1994)

The list is formed automatically.