1993
DOI: 10.1103/physreve.48.4049
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Amplification of coherent polar vibrations in biopolymers: Fröhlich condensate

Abstract: We consider the nonequilibrium and dissipative evolution, and the steady state of the population of vibrational polar modes in a chain of biomolecules. These polar modes are excited through a coupling with a metabolic pumping source and are in anharmonic interaction with an elastic continuum. Groups of polar modes are coupled in this way through nonlinear terms in the kinetic equations. This nonlinearity is shown to be the source of an unexpected phenomenon characterizing complex behavior in this kind of syste… Show more

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Cited by 34 publications
(75 citation statements)
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“…It can be shown that 13) and the (acoustic) magnon dispersion relation is given by 14) and Refs. [4,67] presents recent studies on this dispersion relation in cases of thin films of YIG.…”
Section: Appendix a The Hamiltonian Of The Magnon Systemmentioning
confidence: 99%
See 1 more Smart Citation
“…It can be shown that 13) and the (acoustic) magnon dispersion relation is given by 14) and Refs. [4,67] presents recent studies on this dispersion relation in cases of thin films of YIG.…”
Section: Appendix a The Hamiltonian Of The Magnon Systemmentioning
confidence: 99%
“…A first case was evidenced by Herbert Fröhlich who considered the many boson system consisting of polar vibration (lo phonons) in biopolymers under dark excitation (metabolic energy pumping) and embedded in a surrounding fluid [11,12,13,14]. From a Science, Technology and Innovation (STI) point of view it was considered to have implications in medical diagnosis [15].…”
mentioning
confidence: 99%
“…• "Bose-Einstein-like condensation" of LO phonons (Fröhlich effect) in biopolymers, generated by dark excitation, which is accompanied by the emission of solitons of the Schroedinger-Davydov type, possessing a very long half life [158] (of interest in Physiology and Neurology).…”
Section: Coherent States and Nonequilibrium Bose-einstein-like Conmentioning
confidence: 99%
“…Moreover, a c < a n (in general much smaller) since the privileged modes to be largely excited are the minority ones at the lowest frequencies (see for example [39]). We solve the stationary equations of evolution, to obtain the expression for the populations given in Appendix C. Numerical solutions are derived introducing values for the dierent parameters that appear in the basic Eqs.…”
Section: Numerical Solutions For a Model Systemmentioning
confidence: 99%
“…Another case is that of dipolar vibrations in biopolymers and other biological materials, excited by metabolic processes, and in contact with a thermal bath as those in [28±31]. Exact model calculations [39] seem to show that biopolymers are quite appropriate candidates for the actual occurrence of the Fr ohlich eect, and the case of the molecular polymer acetanilide has been considered in [43]. Moreover, the kind of nonlinearities we are considering here seems to lead to particular complex behavior (Fr ohlich eect, Davidov soliton, Cherenkov-like radiation) in the propagation of ultrasound waves in biomaterials [44,45].…”
Section: Summary and Concluding Remarksmentioning
confidence: 99%