Dynamic correlation functions for finite and infinite smectic-A systems: Theory and experiment

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 2, 1998, Pages 2027-2040

  Poniewierski, A ^a   Holyst R ^a   Price, A C ^b   Sorensen, L B ^b   Kevan, S D ^c   Toner, J ^c  

^a INSTITUTE OF PHYSICAL CHEMISTRY   (Poland)

^b UNIVERSITY OF WASHINGTON   (United States)

^c UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001324023     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.2027     Document Type: Article

References (37)

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33. This is, strictly speaking, not quite right: G. Grinstein and R. Pelcovits, Phys. Rev. A 26, 915 (1982), showed that there are logarithmically diverging corrections to this approximation. However, the fractional changes are of order (5w/64π)ln(q0/q), where q is the wavelength under consideration, and w=kBTB1/2/K3/2. For the typical smectic values B∼5×107 dyn/cm2 and K∼5×10-7 dyn, one finds that at room temperature w∼0.8. Hence, the fractional change due to this logarithmic divergence at q=10-3q0 is only 14%. This corresponds to a length scale 2π/q of 103 (2π/q0)=3 μm. Of course, larger q’s have even smaller corrections. So the harmonic approximation is a good one, except for unreasonably small q’s, which are not probed in our experiment.PLRAAN
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