Ferroelectric polarization switching in nylon-11

Cold-drawn Nylon-11 films, which were prepared by stretching the melt-quenched films to a draw ratio of 2.8: 1 at room temperature, were found to exhibit an electric displacement versus electric field hysteresis loop. The results confirmed that the Nylon-11 film exhibited ferroelectric behavior at or below room temperature. The coercive fields were 65, 98, 125, 160, and 215 MV/m at 20, 0, ?20, ?40, and ?60°C and the remanent polarization at ?20°C (where there was considerably less dc conduction) was 56 mC/m². Switching of the polarization was almost completed within 20 ms.     

Canonical fields in the quantum sh-Gordon model

In the quantum sh model fundamental canonical fields are constructed with the help of the Gel'fand-Levitan-Marchenko equations.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Maternaticheskogo Instituta im. V. A. Steklova, Akad. Nauk SSSR, Vol. 172, pp. 145–159, 1989.     

Solution of an inverse problem for estimation of ionospheric parameters

Translated from Matematicheskie Modeli i Optimizatsiya Vychislitel'nykh Algoritmov, pp. 75–81, 1994.     

Violation of KNO scaling and the NBD phenomenon in the framework of the statistical bootstrap model

The connection is considered of multiplicity distributions in three stages: partonic, hadronization, and hadronic. An interpretation of the LoPHD parameter is found. It is shown that under specific hypotheses on the form of the mass spectrum, the statistical bootstrap model leads to the negative binomial distribution (NBD) at the hadronic stage of development of the multiple production process with specific analytic dependences of the parameters of the NBD.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 28–32, May, 1991.One of the authors (V. I. Kuvshinov) is thankful to R. Hagedorn and G. Burgers for numerous discussions.     

Taylor-Galerkin algorithms for viscoelastic flow: Application to a model problem

Coupled and decoupled Taylor-Galerkin algorithms are considered for viscoelastic flow and a model problem—transient startup Poiseuille flow in a channel under a fixed pressure gradient. All algorithms reproduce the steady-state solutions and are stable at high elasticity numbers (E). For a fixed mesh, the coupled and decoupled versions (TGC and TGD) give exceptional time-accuracy at low elasticity numbers [to within O(1%) at E = 1] and reasonable accuracy at high elasticity numbers [to within O(10%) at E = 10, 100]. By definition, the decoupled false-transient scheme (TGF), which uses different time scales for velocity and stress time stepping, provides a poor transient history. Where the main requirement is to compute a steady-state algorithm efficiency is crucial. The TGF scheme attains a steady state between six to eight times faster than does the TGC scheme, and the latter is over twice as fast as the TGD form. © 1994 John Wiley & Sons, Inc.     

Estimates of the singular numbers of Hankel operators

Translated from Matematicheskie Zametki, Vol. 49, No. 6, pp. 82–86, June, 1991.     

A mechanism for generation of strong energy fluctuations in one-dimensional systems

A mechanism for the generation of strong energy fluctuations in a chain of harmonically and anharmonically coupled atoms in a state of thermodynamic equilibrium has been investigated by a molecular dynamics method. Energy fluctuations multiply exceeding the mean value were localized in a group of three to five atoms with lifetime on the order of an atomic vibrational period. They arise as a consequence of collisions of density waves propagating along the chain. A collision of waves of the same density sign leads to a fluctuation of the potential energy, while for differing signs a fluctuation in the kinetic energy occurs. In particular, collision of dilitatin waves leads to thermal breaking of the chain. The energy concentration at the moment of collision is 30% greater in a harmonic chain than in an anharmonic one.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 47–52, May, 1991.