Anomalous melting of overheated smectic films

References

• De Gennes PG, Prost J. Physics of liquid crystals. Oxford: Clarendon Press; 1993.
   Google Scholar
• Oswald P, Pieranski P. Smectic and columnar liquid crystals: concepts and physical properties illustrated by experiments. Boca Raton: Taylor & Francis; 2006. p. 447.
   Google Scholar
• De Jeu WH, Ostrovskii BI, Shalaginov AN. Structure and fluctuations of smectic membranes. Rev Mod Phys. 2003;75:181–235. and references therein. DOI:10.1103/RevModPhys.75.181
   Web of Science ®Google Scholar
• Dosch H. Critical phenomena at surfaces and interfaces. Berlin: Springer; 1992.
   Google Scholar
• Chao CY, Chou CF, Ho JT, et al. Nature of layer-by-layer freezing in free-standing 4O.8 films. Phys Rev Lett. 1996;77:2750–2753. DOI:10.1103/PhysRevLett.77.2750
   PubMed Web of Science ®Google Scholar
• Stoebe S, Mach P, Huang CC. Unusual layer-thinning transition observed near the smectic-A —Isotropic transition in free-standing liquid-crystal films. Phys Rev Lett. 1994;73:1384–1387. DOI:10.1103/PhysRevLett.73.1384
   PubMed Web of Science ®Google Scholar
• Stoebe S, Huang CC. Physical properties of thin substrate-free liquid-crystal films. Int J Mod Phys B. 1995;9:2285–2319. DOI:10.1142/S0217979295000896
   Web of Science ®Google Scholar
• Demikhov EI. Surface reconstruction and finite-size effects in smectic free standing films. Mol Cryst Liq Cryst. 1995;265:403–434. DOI:10.1080/10587259508041710
   Web of Science ®Google Scholar
• Demikhov EI, Dolganov VK, Meletov KP. Step-by-step thinning of free-standing films above the smectic-A —nematic phase transition. Phys Rev E. 1995;52:R1285–R1287. DOI:10.1103/PhysRevE.52.R1285
   PubMed Web of Science ®Google Scholar
• Johnson PM, Mach P, Wedell ED, et al. Layer thinning transition above the bulk smectic-A–isotropic transition in free-standing liquid-crystal films. Phys Rev E. 1997;55:4386–4389. DOI:10.1103/PhysRevE.55.4386
   Web of Science ®Google Scholar
• Pankratz S, Johnson PM, Nguyen NT, et al. Experimental characterization of layer thinning transitions. Phys Rev E. 1998;58:R2721–R2724. DOI:10.1103/PhysRevE.58.R2721
   Web of Science ®Google Scholar
• Picano F, Oswald P, Kats E. Disjoining pressure and thinning transitions in smectic-A liquid crystal films. Phys Rev E. 2001;63:021705. DOI:10.1103/PhysRevE.63.021705
   Web of Science ®Google Scholar
• Oswald P, Picano F, Caillier F. Dislocation loop dynamics in freestanding smectic films: the role of the disjoining pressure and of the finite permeability of the meniscus. Phys Rev E. 2003;68:061701. DOI:10.1103/PhysRevE.68.061701
   Web of Science ®Google Scholar
• Dolganov VK, Demikhov EI, Fouret R, et al. Free-standing films above the bulk smectic-nematic-isotropic transitions. Phys Lett A. 1996;220:242–246. DOI:10.1016/0375-9601(96)00498-7
   Web of Science ®Google Scholar
• Mol EAL, Wong GCL, Petit JM, et al. Thinning transitions and fluctuations of freely suspended smectic-A films as studied by specular and di¤use X-ray scattering. Physica B. 1998;248:191–198. DOI:10.1016/S0921-4526(98)00230-0
   Web of Science ®Google Scholar
• Pankratz S, Johnson PM, Hołyst R, et al. Thinning transitions in free-standing liquid-crystal films as the successive formation of dislocation loops. Phys Rev E. 1999;60:R2456–R2459. DOI:10.1103/PhysRevE.60.R2456
   Web of Science ®Google Scholar
• Pankratz S, Johnson PM, Paulson A, et al. Kinetics of layer-thinning transitions in overheated smectic films. Phys Rev E. 2000;61:6689–6695. DOI:10.1103/PhysRevE.61.6689
   Web of Science ®Google Scholar
• Gorodetskii EE, Pikina ES, Podnek VE. Discrete thinning of free-standing smectic films in the de Gennes “pre-smectic liquid” model. JETP. 1999;88:35–39. DOI:10.1134/1.558760
   Web of Science ®Google Scholar
• Pikina ES, Ostrovskii BI, de Jeu WH. Thinning and thickening of free-standing smectic films revisited. Eur Phys J E. 2015;38:13. DOI:10.1140/epje/i2015-15013-8
   PubMed Web of Science ®Google Scholar
• Najjar R, Galerne Y. Two-dimensional liquid crystal dispersions in free standing films of tilted smectics. Mol Cryst Liq Cryst. 2001;367:475–485. DOI:10.1080/10587250108028668
   Web of Science ®Google Scholar
• Schüring H, Stannarius R. Isotropic droplets in thin free standing smectic films. Langmuir. 2002;18:9735–9743. DOI:10.1021/la0260436
   Web of Science ®Google Scholar
• Schüring H, Stannarius R. Surface and interface tensions determined from isotropic droplets in freely suspended smectic films. Mol Cryst Liq Cryst. 2004;412:425–433. DOI:10.1080/15421400490431921
   Web of Science ®Google Scholar
• Dolganov PV, Cluzeau P, Joly G, et al. Interaction of surfaces in smectic membranes and their instability near thinning transitions. Phys Rev E. 2005;72:031713. DOI:10.1103/PhysRevE.72.031713
   Web of Science ®Google Scholar
• Bohley C, Stannarius R. Inclusions in free standing smectic liquid crystal films. Soft Matter. 2008;4:683–702. DOI:10.1039/b715124a
   PubMed Web of Science ®Google Scholar
• De Gennes PG. Interactions between solid surfaces in a presmectic fluid. Langmuir. 1990;6:1448–1450. DOI:10.1021/la00099a003
   Web of Science ®Google Scholar
• Langer JS, Fisher ME. Intrinsic critical velocity of a superfluid. Phys Rev Lett. 1967;19:560–563. DOI:10.1103/PhysRevLett.19.560
   Web of Science ®Google Scholar
• Pershan PS, Prost J. Dislocation and impurity effects in smectic-A liquid crystals. J Appl Phys. 1975;46:2343–2353. DOI:10.1063/1.321912
   Web of Science ®Google Scholar
• Demikhov EI, John M, Krohn K. Preliminary communication anomalous behaviour of photoactive free-standing smectic films under illumination. Liq Cryst. 1997;23:443–445. DOI:10.1080/026782997208361
   Web of Science ®Google Scholar
• Cluzeau P, Dolganov V, Poulin P, et al. Droplets nucleation in smectic-C* free-standing films. Mol Cryst Liq Cryst. 2001;364:381–393. DOI:10.1080/10587250108025007
   Web of Science ®Google Scholar
• Dolganov PV, Nguyen HT, Joly G, et al. Stability of a free-standing liquid-crystal film: the measurement of the interaction between the film surfaces. JETP. 2007;105:665–672. DOI:10.1134/S1063776107090257
   Web of Science ®Google Scholar
• Lifshitz EM, Pitaevskii LP. Physical kinetics Ch. XII. Moscow: Science; 1979.
   Google Scholar
• Gramsbergen EF, de Jeu WH, Als-Nielsen J. Antiferroelectric surface layers in a liquid crystal as observed by synchrotron X-ray scattering. J Phys. 1986;47:711–718. DOI:10.1051/jphys:01986004704071100
   Web of Science ®Google Scholar
• Ocko BM, Braslau A, Pershan PS, et al. Quantized layer growth at liquid-crystal surfaces. Phys Rev Lett. 1986;57:94–97. DOI:10.1103/PhysRevLett.57.94
   PubMed Web of Science ®Google Scholar
• Lucht R, Bahr C. Wetting phenomena at the free surface of the isotropic phase of a smectic liquid crystal. Phys Rev Lett. 1997;78:3487–3490. DOI:10.1103/PhysRevLett.78.3487
   Web of Science ®Google Scholar
• Richetti P, Moreau L, Barois P, et al. Measurement of the interactions between two ordering surfaces under symmetric and asymmetric boundary conditions. Phys Rev E. 1996;54:1749–1762. DOI:10.1103/PhysRevE.54.1749
   PubMed Web of Science ®Google Scholar
• Kléman M, Lavrentovich OD. Soft matter physics: an introduction. New York: Springer-Verlag; 2003. chapters 5, 13.
   Google Scholar
• Dolganov PV, Demikhov EI, Dolganov VK, et al. Collective behavior of light-induced droplets in smectic membranes. Eur Phys J E. 2003;12:593–597. DOI:10.1140/epje/e2004-00031-6
   PubMed Web of Science ®Google Scholar
• Sur J, Pak HK. Capillary force on colloidal particles in a freely suspended liquid thin film. Phys Rev Lett. 2001;86:4326–4329. DOI:10.1103/PhysRevLett.86.4326
   PubMed Web of Science ®Google Scholar
• Landau LD, Lifshitz EM. Fluid mechanics. Oxford: Butterworth–Heinemann; 1987.
   Google Scholar
• Hughes BD, Pailthorpe BA, White LR. The translational and rotational drag on a cylinder moving in a membrane. J Fluid Mech. 1981;110:349–372. DOI:10.1017/S0022112081000785.
   Web of Science ®Google Scholar
• Nguyen ZH, Atkinson M, Park CS, et al. Crossover between 2D and 3D fluid dynamics in the diffusion of Islands in ultrathin freely suspended smectic films. Phys Rev Lett. 2010;105:268304. DOI:10.1103/PhysRevLett.105.268304
   PubMed Web of Science ®Google Scholar
• Eremin A, Baumgarten S, Harth K, et al. Two-dimensional microrheology of freely suspended liquid crystal films. Phys Rev Lett. 2011;107:268301. DOI:10.1103/PhysRevLett.107.268301.
   PubMed Web of Science ®Google Scholar
• Petrov E, Schwille P. Translational diffusion in lipid membranes beyond the Saffman-DelbruË ck Approximation. Biophys J. 2008;94:L41–L43. DOI:10.1529/biophysj.107.126565
   PubMed Web of Science ®Google Scholar
• Léger L, Martinet A. Viscosity measurements in the nematic and smectic A phases of a liquid crystal critical behaviour. J Phys Coll. 1976;37:C3-89–C3-97.
   Google Scholar
• Li H, Kardar M. Fluctuation-induced forces between manifolds immersed in correlated fluids. Phys Rev A. 1992;46:6490–6500. DOI:10.1103/PhysRevA.46.6490
   PubMed Web of Science ®Google Scholar
• Ajdari A, Peliti L, Prost J. Fluctuation-induced long-range forces in liquid crystals. Phys Rev Lett. 1991;66:1481–1484. DOI:10.1103/PhysRevLett.66.1481
   PubMed Web of Science ®Google Scholar
• Pikina ES, Rosenblatt C. Surface-induced weak orientational order and role of isotropic-nematic interface fluctuations in the appearance of an induced nematic film. Eur Phys J E. 2012;35:87. DOI:10.1140/epje/i2012-12087-8
   PubMed Web of Science ®Google Scholar