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Ferroelectric-chiral-antiferroelectric-racemic liquid crystal phase transition of bent-shape molecules.

Detailed dielectric, polarization current, electro-optical, and textural observations are reported on an asymmetric banana-shaped compound 1,3-biphenylene-bis[4-(3-fluoro-4-octyloxyphenyliminomethyl)benzoate]. The material possesses a chiral-ferroelectric-racemic-antiferroelectric phase transition. Our studies reveal that the higher temperature ferroelectric phase has a polar double-tilted smectic structure, where both the molecular plane and the long axis are tilted with respect to the layer normal. Accordingly, it has a chiral triclinic structure with an out-of-plane polarization component. The lower temperature phase has a monoclinic symmetry, which is higher than that of the higher temperature phase. To our knowledge, among liquid crystals such situations were previously observed only in reentrant phases.

Journal Article↗

Thermodynamic limit of the first-order phase transition in the Kuramoto model.

In the Kuramoto model, a uniform distribution of the natural frequencies leads to a first-order (i.e., discontinuous) phase transition from incoherence to synchronization, at the critical coupling parameter K(c). We obtain the asymptotic dependence of the order parameter above criticality: r-r(c)alpha(K - K(c))(2/3). For a finite population, we demonstrate that the population size N may be included into a self-consistency equation relating r and K in the synchronized state. We analyze the convergence to the thermodynamic limit of two alternative schemes to set the natural frequencies. Other frequency distributions different from the uniform one are also considered.

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Quantum phase transitions in d-wave superconductors

Motivated by the strong, low temperature damping of nodal quasiparticles observed in some cuprate superconductors, we study quantum phase transitions in d(x(2)-y(2)) superconductors with a spin-singlet, zero momentum, fermion bilinear order parameter. We present a complete, group-theoretic classification of such transitions into seven distinct cases (including cases with nematic order) and analyze fluctuations by the renormalization group. We find that only two, the transitions to d(x(2)-y(2))+is and d(x(2)-y(2))+id(xy) pairing, possess stable fixed points with universal damping of nodal quasiparticles; the latter leaves the gapped quasiparticles along (1,0), (0,1) essentially undamped.

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Phase transitions in quantum pattern recognition.

With the help of quantum mechanics one can formulate a model of associative memory with optimal storage capacity. This model is generalized by introducing a parameter playing the role of an effective temperature. The corresponding thermodynamics provides criteria to tune the efficiency of quantum pattern recognition. It is shown that the associative memory undergoes a phase transition from a disordered, high-temperature phase with no correlation between input and output to an ordered, low-temperature phase with minimal input-output Hamming distance.

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(2 x 1)-(1 x 1) phase transition on Ge(001): dimer breakup and surface roughening.

Using low energy electron microscopy, we have investigated the (2 x 1)-(1 x 1) phase transition occurring above 925 K on Ge(001). Dimer breakup has been identified as the physical origin of this transition. A quantitative description of the dimer concentration during the transition involves configuration entropy of random monomers within the dimer matrix. The dimer formation energy amounts to 1.2+/-0.3 eV. Dimer breakup promotes reversible surface disorder by step proliferation and irreversible surface roughening above 1130 K.

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Novel use of bovine zeta-crystallin as a conformational DNA probe to characterize a phase transition zone and terminally differentiating fiber cells in the adult canine ocular lens.

Using a novel immunocytochemical staining method, we aimed to characterize the phase transition zone (PTZ) (approximatly 100 microm) in adult ocular lenses and the process of terminal differentiation (denucleation) within normal fiber cells. The binding to DNA of zeta-(zeta) crystallin (Z-DNA-binding protein) and anti-double-stranded (ds-)-B-DNA antibody probes was found to decline gradually throughout denucleating fibers, with a precipitous decrease occurring at about 100 microm (PTZ). Nuclei of superficial fiber cells (in front of the PTZ) showed the highest DNA probe-binding values, followed by middle fibers (MF) and deep fibers (DF). With the use of zeta-crystallin, anti-ds-B-DNA antibody, and anti-single stranded (ss-) DNA antibody probes, it was possible to reveal a loss of reactivity of fiber cell ds-DNA. Ss-DNA antibody binding was seen initially in the MF and reached its highest intensity level in the DF. The pattern of zeta-crystallin probe-DNA reactivity correlates with the loss of anti-B-DNA antibody staining and decreased eosin-protein staining. These data suggest that a reorganization of DNA and intracellular protein supramolecular order in normal adult lenses occurs at a depth of about 100 microm (PTZ).

Age Factors↗

Pontine gigantocellular field neuron activity time-locked with the PGO waves in the transitional phase of sleep in the cat.

The extracellularly recorded discharge of pontine gigantocellular tegmental field (FTG) neurons was studied in the cat during the transitional phase of sleep (TPS), which signifies in this study the shift from slow wave sleep (S) to paradoxical sleep (PS). The first appearance of pontogeniculo-occipital (PGO) waves, which were led off from the lateral geniculate nucleus, indicated the start, and the decrease of neck muscle tone the end of TPS. TPS was chosen because most PGO waves were then isolated and thus suitable for comparison with the discharge of neurons, which were localized to the antero-lateral part of the FTG. In order to analyze the possible role of these neurons in the control of PGO wave activity, the mean discharge rate of FTG neurons was studied in greater detail during 200 ms periods before and after the onset of each isolated PGO wave. Most FTG neurons discharged phasically and their activity was closely related to isolated PGO waves, so that the highest rate of unit discharge occurred within 40 ms period after the onset of the isolated PGO wave, being time-locked with its first deflection.

Animals↗

The influence of local anesthetics on the gel-liquid crystal phase transition in model dipalmitoylphosphatidylcholine membranes.

The influence of local anesthetics (LA): tetracaine, lidocaine, cocaine, dibucaine and heptacaine derivatives on the gel to liquid crystalline phase transition temperature (Tc) of model dipalmitoylphosphatidylcholine (DPPC) membranes was studied using electron spin resonance (ESR) and polarization microscopy methods. The decrease of Tc in the presence of anesthetics (delta Tc) was found to be dependent on the [DPPC]/[H2O] molar ratio at constant [LA]/[DPPC] molar ratio. Hence, the parameter alpha = delta Tc/[( LA]/[DPPC]) in dependence on [H2O]/[DPPC] was extrapolated to zero concentration of water and compared with biological efficiency.

1,2-Dipalmitoylphosphatidylcholine↗

[Microcalorimetric study of thermodynamic values of aqueous phase transition and eutectic melting in the binary and ternary systems Na-DNA--H20 and Na-DNA--H20--NaCl].

Thermodynamic parameters of water phase transition and eutectics melting in DNA water-salt solution were studied by means of low temperature scanning differential microcalorimetry at different concentrations of polyanions. DNA hydration was measured and the character of changes in Na+ counterion binding was revealed during the transition of double helix into the state of random coils.

Calorimetry, Differential Scanning↗

The lamellar to hexagonal phase transition in phosphatidylethanolamine liposomes: a fluorescence anisotropy study.

The steady-state anisotropy of trimethylammonium diphenylhexatriene fluorescence has been used to monitor the thermotropic lamellar to HII hexagonal phase transition in an unsaturated phosphatidylethanolamine. The transition is observed in lipid aggregates when they are heated above the transition temperature Th, as well as in diluted liposomes after aggregation above Th. Changes in fluorescence anisotropy are not observed with Ca(++)-induced fusion of phosphatidylserine vesicles, a process not involving hexagonal phase formation.

Diphenylhexatriene↗

Behavior of the nonlinear refractive indices and birefringence in the neighborhood of first- and second-order phase transitions in lyotropic liquid crystals.

We investigated the behavior of the nonlinear refractive indices (n(2)) and birefringence (Delta n(2)) in the vicinity of the nematic-to-isotropic (N-I) and nematic uniaxial-to-nematic biaxial (N-N) phase transitions in a lyotropic liquid crystal. The single-beam Z-scan technique is used to measure n(2) in different relative configurations of the electric field of the laser beam and the symmetry axes of the phases. In the N-I transition, the nonlinear optical birefringence shows a discontinuity at the transition temperature (T(c)), as observed in the linear birefringence. On the other hand, in the N-N transition, Delta n(2) was shown to be proportional to /T-T(c)/(-beta), with beta approximately 0.5, in both uniaxial and biaxial nematic domains. No discontinuity was observed on Delta n(2) in the N-N transition. The symmetric invariants of the order parameter were shown to be linear functions of the temperature in the uniaxial nematic domain, in good agreement with the mean-field prediction.

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Thermally induced phase transition in helical comblike poly(beta-peptide)s: an atomistic simulation.

Atomistic Monte Carlo (MC) simulations have been used to study a thermally induced phase transition in poly(alpha-octadecyl-beta,L-aspartate). Simulations were performed by using the parallelized version of Configurational Bias MC algorithm adapted to study comblike polymers. A total of 1.15. 10(6) steps were carried out for a molecular system constituted by 6240 atoms/pseudoatoms. Results were consistent with available experimental observations. The limitations of atomistic simulations to study large length-scale phenomena are discussed.

Algorithms↗

Membranes undergoing phase transitions are preferentially hydrolyzed by beta-bungarotoxin.

beta-Bungarotoxin preferentially hydrolyzes choline phospholipids (dilauroyl, dimyristoyl, dipalmitoyl) at their respective gel to liquid crystalline phase transition temperatures. Cholesterol markedly reduces the rate of phospholipid hydrolysis; at 0.33 mol percent cholesterol:phospholipid, the toxin's phospholipase activity is completely inhibited.

Bungarotoxins↗

Titration of the phase transition of phosphatidylserine bilayer membranes. Effects of pH, surface electrostatics, ion binding, and head-group hydration.

The dependence of the gel-to-fluid phase transition temperature of dimyristoyl- and dipalmitoylphosphatidylserine bilayers on pH, NaCl concentration, and degree of hydration has been studied with differential scanning calorimetry and with spin-labels. On protonation of the carboxyl group (pK2app = 5.5), the transition temperature increases from 36 to 44 degrees C in the fully hydrated state of dimyristoylphosphatidylserine (from 54 to 62 degrees C for dipalmitoylphosphatidylserine), at ionic strength J = 0.1. In addition, at least two less hydrated states, differing progressively by 1 H2O/PS, are observed at low pH with transition temperatures of 48 and 52 degrees C for dimyristoyl- and 65 and 68.5 degrees C for dipalmitoylphosphatidylserine. On deprotonation of the amino group (pK3app = 11.55) the transition temperature decreases to approximately 15 degrees C for dimyristoyl- and 32 degrees C for dipalmitoylphosphatidylserine, and a pretransition is observed at approximately 6 degrees C (dimyristoylphosphatidylserine) and 21.5 degrees C (dipalmitoylphosphatidylserine), at J = 0.1. No titration of the transition is observed for the fully hydrated phosphate group down to pH less than or equal to 0.5, but it affinity for water binding decreases steeply at pH greater than or equal to 2.6. Increasing the NaCl concentration from 0.1 to 2.0 M increases the transition temperature of dimyristoyphosphatidylserine by approximately 8 degrees C at pH 7, by approximately 5 degrees at pH 13, and by approximately 0 degrees C at pH 1. These increases are attributed to the screening of the electrostatic titration-induced shifts in transition temperature. On a further increase of the NaCl concentration to 5.5 M, the transition temperature increases by an additional 9 degree C at pH 7, 13 degree C at pH 13, approximately 7 degree C in the fully hydrated state at pH 1, and approximately 4 and approximately 0 degree C in the two less hydrated states. These shifts are attributed to displacement of water of hydration by ion binding. From the salt dependence it is deduced that the transition temperature shift at the carboxyl titration can be accounted for completely by the surface charge and change in hydration of approximately 1 H2O/lipid, whereas that of the amino group titration arises mostly from other sources, probably hydrogen bonding. The shifts in pK (delta pK2 = 2.85, delta pK3 = 1.56) are consistent with a reduced polarity in the head-group region, corresponding to an effective dielectric constant epsilon approximately or equal to 30, together with surface potentials of psi congruent to -100 and -150 mV at the carboxyl and amino group pKs, respectively. The transition temperature of dimyristoylphosphatidylserine-water mixtures decreases by approximately 4 degree C each water/lipid molecule added, reaching a limiting value at a water content of approximately 9-10 H2O/lipid molecule.

Calorimetry, Differential Scanning↗

Effect of dispersed silica particles on the smectic-A-smectic-C* phase transition.

We study the influence of the dispersed aerosil particle concentration on the soft and Goldstone mode dynamics across the smectic-A-smectic-C* phase transition using dielectric spectroscopy. We use CE8 liquid crystal filled with aerosils of concentrations x=m(s)/(m(s)+m(LC))=0.025, 0.05, 0.1, and 0.15, where m(s) and m(LC) stand for masses of aerosil and liquid crystal, respectively. In dispersions with x<0.15 the characteristic Goldstone frequency temperature dependence f(G)(T) is almost bulklike in contrast to the corresponding soft mode dependence f(s)(T). For x>0 the degeneracy of the modes at the SmA-SmC* transition temperature is lifted. With increasing x the modes' intensities gradually decrease and the critical effective coefficient gamma tentatively approaches the value characterizing the three-dimensional XY universality class. For x=0.15, a drastic change in behavior is observed. The Goldstone mode is completely suppressed and the f(s)(T) dependence begins to deviate from the Arrhenius behavior. A simple phenomenological approach is used in the explanation of results.

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Two experimental tests of the halperin-lubensky-Ma effect at the nematic-smectic- A phase transition

We have conducted two quantitative tests of predictions based on the Halperin-Lubensky-Ma (HLM) theory of fluctuation-induced first-order phase transitions. First, we explore the effect of an external magnetic field on the nematic-smectic- A transition in a liquid crystal. Second, we examine the dependence of the first-order discontinuity as a function of mixture concentration in pure 8CB and three 8CB-10CB mixtures. We find the first quantitative evidence for deviations from the HLM theory.

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Driving rate effects in avalanche-mediated first-order phase transitions.

We study the driving-rate and temperature dependence of the power-law exponents that characterize the avalanche distribution in first-order phase transitions. Measurements of acoustic emission in structural transitions in Cu-Zn-Al and Cu-Al-Ni are presented. We show how the observed behavior emerges within a general framework of competing time scales of avalanche relaxation, driving rate, and thermal fluctuations. We confirm our findings by numerical simulations of a prototype model.

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