Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
The time-dependent layer displacement-layer displacement correlation functions are analyzed in a free standing thin smectic-A films with the help of the discrete layer model. The film motions are described using the Chebyshev polynomials of second kind, Un(x). The dependencies of the eigenmodes on the wave number q⊥ were analyzed. For small q⊥ one mode is a low frequency acoustic wave and other modes are high frequency optical oscillations. The rather simple expression for the susceptibility matrix and for spectral densities of layer displacement correlation functions were obtained using the Chebyshev polynomials. The obtained results allow one to explain the experimental results on dynamic scattering and diffraction of X-rays in smectic-A films.
Original language | English |
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Title of host publication | DD 2001 - International Seminar Day on Diffraction 2001, Proceedings |
Editors | I.V. Andronov |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 272-280 |
Number of pages | 9 |
ISBN (Electronic) | 5799703669, 9785799703660 |
DOIs | |
State | Published - 2001 |
Event | International Seminar in Day on Diffraction, DD 2001 - St. Petersburg, Russian Federation Duration: 29 May 2001 → 31 May 2001 |
Name | DD 2001 - International Seminar Day on Diffraction 2001, Proceedings |
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Conference | International Seminar in Day on Diffraction, DD 2001 |
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Country/Territory | Russian Federation |
City | St. Petersburg |
Period | 29/05/01 → 31/05/01 |
ID: 76496948