Abstract:
A simple model of spherical molecules in a flat channel manifests in transparent terms
of packing all the main features of the thermodynamics and kinetics of one-dimensional
systems unstable with respect to the occurrence of a superperiod. The phonon spectrum
and the vibrational contribution to the low-temperature thermodynamics associated with
the presence of domain walls are calculated. The relaxation of the domain wall density
is calculated for arbitrary initial deviation from the equilibrium value. An exponential
slowing down of the relaxation with decreasing temperature is predicted. The high-temperature
thermodynamics is calculated and extrapolation of the obtained results to low temperatures demonstrates the process of appearance of the superperiod.
Citation:
E. V. Kholopov, “Thermodynamics and anomalous slowing down of molecular structure relaxation in a flat channel”, TMF, 66:2 (1986), 290–301; Theoret. and Math. Phys., 66:2 (1986), 191–199
\Bibitem{Kho86}
\by E.~V.~Kholopov
\paper Thermodynamics and anomalous slowing down of molecular structure relaxation in a~flat channel
\jour TMF
\yr 1986
\vol 66
\issue 2
\pages 290--301
\mathnet{http://mi.mathnet.ru/tmf4624}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 66
\issue 2
\pages 191--199
\crossref{https://doi.org/10.1007/BF01017772}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986E417400013}
Linking options:
https://www.mathnet.ru/eng/tmf4624
https://www.mathnet.ru/eng/tmf/v66/i2/p290
This publication is cited in the following 2 articles:
E. V. Kholopov, “Low-temperature electron states at a Peierls instability of order-disorder type”, Theoret. and Math. Phys., 95:3 (1993), 748–757
E. V. Kholopov, “Elastic mechanism of low-temperature stabilization of multidomain state in quasi-one-dimensional systems”, Soviet Journal of Low Temperature Physics, 14:4 (1988), 227
Citation in format AMSBIB
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