PMID- 23214601 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20130524 LR - 20121211 IS - 1550-2376 (Electronic) IS - 1539-3755 (Linking) VI - 86 IP - 4 Pt 1 DP - 2012 Oct TI - Critical behavior of a nonpolar smectogen from high-resolution birefringence measurements. PG - 041705 AB - We report high-sensitivity and high-temperature resolution experimental data for the temperature dependence of the optical birefringence of a nonpolar monolayer smectogen 4-butyloxyphenyl-4'-decyloxybenzoate (10[over ].O.4[over ]) liquid crystal by using a rotating-analyzer technique. The birefringence data cover nematic and smectic-A phases of the 10[over ].O.4[over ] compound. The birefringence data are used to probe the temperature behavior of the nematic order parameter S(T) in the vicinity of both the nematic-isotropic (N-I) and the nematic-smectic-A (N-SmA) transitions. For the N-I transition, from the data sufficiently far away from the smectic-A phase, the average value of the critical exponent beta describing the limiting behavior of S(T) is found to be 0.2507+/-0.0010, which is in accordance with the so-called tricritical hypothesis, which predicts beta=0.25 and excludes higher theoretical values. The critical behavior of S(T) at the N-I transition is discussed in detail by comparing our results with the latest reports in the literature and we conclude that by comparing with the previously reported results, the isotropic internal field assumption by the Vuks-Chandrasekhar-Madhusudana model is adequate to extract the critical behavior of S(T) from the optical birefringence data. We observe that there is no discontinuous behavior in the optical birefringence, signaling the second-order nature of the N-SmA transition. The effect of the coupling between the nematic and smectic-A order parameters on the optical birefringence near the N-SmA transition is also discussed. In a temperature range of about 4K above and below the N-SmA transition, the pretransitional evidence for the N-SmA coupling have been detected. From the analysis of the optical birefringence data above and below the N-SmA transition by means of various fitting expressions we test the validity of the scaling relation lambda=1-alpha between the critical exponent lambda describing the limiting behavior of the nematic order parameter and the specific heat capacity exponent alpha. We then show that the temperature derivative of the nematic order parameter S(T) near T(NA) exhibits the same power-law divergence as the specific heat capacity with an effective critical exponent of 0.2303+/-0.0035. FAU - Erkan, Selen AU - Erkan S AD - Department of Physics, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey. FAU - Cetinkaya, Mehmetcan AU - Cetinkaya M FAU - Yildiz, Sevtap AU - Yildiz S FAU - Ozbek, Haluk AU - Ozbek H LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't DEP - 20121011 PL - United States TA - Phys Rev E Stat Nonlin Soft Matter Phys JT - Physical review. E, Statistical, nonlinear, and soft matter physics JID - 101136452 EDAT- 2012/12/12 06:00 MHDA- 2012/12/12 06:01 CRDT- 2012/12/11 06:00 PHST- 2012/06/28 00:00 [received] PHST- 2012/12/11 06:00 [entrez] PHST- 2012/12/12 06:00 [pubmed] PHST- 2012/12/12 06:01 [medline] AID - 10.1103/PhysRevE.86.041705 [doi] PST - ppublish SO - Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Oct;86(4 Pt 1):041705. doi: 10.1103/PhysRevE.86.041705. Epub 2012 Oct 11.