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Percolation quantum phase transitions in diluted magnets.

We show that the interplay of geometric criticality and quantum fluctuations leads to a novel universality class for the percolation quantum phase transition in diluted magnets. All critical exponents involving dynamical correlations are different from the classical percolation values, but in two dimensions they can nonetheless be determined exactly. We develop a complete scaling theory of this transition, and we relate it to recent experiments in La2Cu(1-p)(Zn,Mg)(p)O4. Our results are also relevant for disordered interacting boson systems.

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Effect of the range of attractive interactions on crystallization, metastable phase transition, and percolation in colloidal dispersions.

The equilibrium as well as nonequilibrium phase behaviors of colloidal dispersions have been investigated using statistical-mechanical theories of fluids and solids in complement with the renormalization-group (RG) theory. It is shown that the osmotic second virial coefficient at the critical point of the fluid-fluid transition varies with the range of attractions and is sensitive to specific forms of the attractive potential in contrast to a common speculation that it remains practically constant. However, for colloids with short-ranged forces, the critical temperature of the fluid-fluid phase transition is well correlated with the range of attractions in good agreement with an earlier empirical correlation based on simulation results. A comparison of the relative positions of the fluid-fluid coexistence curve, freezing, melting, and percolation lines in the phase diagram indicates that the gelation in colloidal systems has significant effects on the equilibrium phase transitions and crystallization, especially when the attractions between colloidal particles are short ranged.

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Neutron and X-ray diffraction study of the broken symmetry phase transition in solid deuterium.

The solid hydrogen compounds D2, HD and H2 remain quantum molecular solids up to pressures in the 100 GPa range. A remarkable macroscopic consequence is the existence of a pressure-induced broken symmetry phase transition, in which the molecules go from a spherical rotational state to an anisotropic rotational state. Theoretical understanding of the broken symmetry phase structure remains controversial, despite numerous studies. Some open questions concern the existence of long- or short-range orientational order; whether a strong isotopic shift on the transition pressure should be assigned to the nuclear zero-point motion or to quantum localization; and whether the structures are cubic, hexagonal or orthorhombic. Here we present experimental data on the structure of the broken symmetry phase in solid D2, obtained by a combination of neutron and X-ray diffraction up to 60 GPa. Our data are incompatible with orthorhombic structures predicted by recent theoretical works. We find that the broken symmetry phase structure is incommensurate with local orientational order, being similar to that found in metastable cubic para-D2.

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Liquid-liquid phase transition in elemental carbon: a first-principles investigation.

It has been recently suggested that elemental carbon may be a promising candidate to exhibit a liquid-liquid phase transition (LLPT). We report the results of first-principles molecular dynamics simulations showing no evidence of LLPT in carbon, in the same temperature and pressure range where such a transition was found using empirical calculations. Our simulations indicate a continuous evolution from a primarily sp-bonded liquid to an sp(2)-like and an sp(3)-like fluid, as a function of pressure, above the graphite melting line. The discrepancy between quantum and classical simulations is attributed to the inability of empirical potentials to describe complex electronic effects in condensed carbon phases.

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Sb/Si(111) adsorption: hidden phase transitions behind Langmuir-like isotherms.

The experimental study of the thermodynamic and kinetic properties of the Sb/Si(111) interface reveals a surprising behavior: a 2D phase condensates when the Sb coverage increases, indicating strong attractive Sb-Sb interactions, whereas the isotherms present a quasi-Langmuir shape, suggesting that these interactions should be negligible. Ab initio calculations raise this contradiction: while the adsorption site evolves from ternary towards the on-top position with increasing coverage, the character of the Sb-Sb effective interactions changes from repulsive towards attractive, resulting in an almost constant average adsorption energy. A simple (Langmuir) thermodynamic behavior can then be the consequence of a surface phase transition.

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Phase transitions of the Ashkin-Teller model including antiferromagnetic interactions on a type of diamond hierarchical lattice.

Using the real-space renormalization-group transformation, we study the phase transitions of the Ashkin-Teller model including the antiferromagnetic interactions on a type of diamond hierarchical lattices, of which the number of bonds per branch of the generator is odd. The isotropic Ashkin-Teller model and the anisotropic one are, respectively, investigated. We find that the phase diagram, for the isotropic Ashkin-Teller model, consists of five phases, two of which are associated with the partially antiferromagnetic ordering of the system, while the phase diagram, for the anisotropic Ashkin-Teller model, contains 11 phases, six of which are related to the partially antiferromagnetic ordering of the system. The correlation length critical exponents and the crossover exponents are also calculated.

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Boundary lipids and protein mobility in rhodopsin-phosphatidylcholine vesicles. Effect of lipid phase transitions.

Purified rhodopsin from bovine retina has been incorporated into phospholipid bilayers. Dimiristoylphosphatidylcholine, dipalmitoylphosphatidylcholine, dioleylphosphatidylcholine and egg phosphatidylcholine were used as host lipids, with ratio of lipid to protein of 120 : 1 (mol to mol). In order to probe the lipid-protein interface specifically, a spin-labeled fatty acid was covalently bound to rhodopsin via an isocyanate reacting group. A spin-labeled phospholipid was used to probe the bulk lipidic phase while a tightly bound maleimide spin label was used to obtain the protein rotational correlation time by the saturation transfer technique. The following results were obtained: (1) The kinetics of reduction by ascorbate of the spin-labeled fatty acid covalently bound to rhodopsin demonstrate that the alkyl chain attached to the protein is positioned in the membrane in the same way as the alkyl chains of a phospholipid. (2) The EPR spectra of the latter shows two components: a strongly immobilized component and a weakly immobilized component. The ratio of the two depends upon the temperature and on the nature of the phospholipids. (3) The signal of the weakly immobilized component is compared to that obtained in the corresponding pure lipids. The latter signal, assumed to represent non-bounded lipids, indicates a sharp transition at the phospholipid phase transition with dimytristoylphosphatidylcholine or dipalmitoylphosphatidylcholine. The former signal (corresponding to the lipid-protein interface) indicates only a broad transition extending over 7 degrees C with dipalmitoylphosphatidylcholine and almost no transition with dimyristoylphosphatidylcholine. (4) In a similar way, the rotational correlation time of the protein only changes progressively when the phase transition occurs. Our interpretation of the data can be summarized as follows: The immobilized component seen by the EPR technique in the hydrophobic environment of this intrinsic protein very probably reflects protein-protein contacts and thus corresponds to hindrance of the labeled chains, when they are trapped between neighbouring proteins. Below the phase transition lipid segregation whould increase the probability of protein contact. However, over a certain range of temperature, the contact with the protein interface probably at the same time prevents the non-segregated phospholipids from feezing. The differences in the results obtained with the various phosphatidylcholines above their transition temperature suggest that the solubility of rhodopsin in bilayers depends not only on the fluidity of the lipids, but also, to some extent, on the phospholipid chain length.

Animals↗

Exploring bovine pancreatic trypsin inhibitor phase transitions.

This paper presents an investigation of the phase diagram of BPTI (bovine pancreatic trypsin inhibitor)/350 mM KSCN at pH 4.9 by direct observation and numerical simulations. We report optical microscopy and light and X-ray scattering experiments coupled with theoretical data analysis using numerical tools. The phase diagram is thoroughly determined, as a function of temperature. Two polymorphs are observed by video microscopy and their solubility measured. In this phase diagram, the liquid-liquid phase separation (LLPS) is metastable with respect to the solid-liquid phase separation. Above the T(L-L) boundary curve, solutions are composed of a mixture of BPTI monomers and decamers. Attractive interactions are stronger between decamers than between monomers. Below the T(L-L) boundary curve, the dense phase is highly concentrated in protein and composed of BPTI decamers alone. Thus, the driving force for liquid-liquid or liquid-solid phase separation is the attraction between decamers at low pH. The structure factors of the dense phases are characteristic of repulsive dense phases because of a hard sphere repulsion core, meaning that in the dense phase proteins are actually in contact (interparticle distance of 53 A). In agreement with the Oswald rule of stages, LLPS occurs prior to and impedes the solid nucleation.

Animals↗

The effects of the p-nitrophenyl esters of the even-numbered fatty acids from caproic (C6) to stearic (C18) on the main phase transition of dimyristoylphosphatidylcholine.

Differential scanning calorimetry (DSC) is employed in a study of the effects of the p-nitrophenyl esters of the even numbered fatty acids from C6 (caproic acid) to C18 (stearic acid) on the main phase transition of multilamellar suspensions of dimyristoylphosphatidylcholine (DMPC). Mole fractions in the range of 0.02-0.12 were used. Within this concentration range the observed transitions could be well fit on the basis of a model assuming ideal behavior of the esters in both the gel and liquid crystal phases of the lipid, and independently additive van't Hoff and impurity broadening. As expected on the basis of this model, the transition temperatures decreased linearly with increasing ester concentration and the transition enthalpies were independent of ester concentration. Significant differences between the effects of the various esters were observed, but these did not change with changing ester chain length in any regular fashion.

Calorimetry, Differential Scanning↗

NMR Study of Phase Transitions in Pure Water and Binary H(2)O/HNO(3) Films Adsorbed on Surface of Pyrogenic Silica.

Pyrogenic silica (aerosil) was employed as host within which the phase transitions in the adsorbed pure water and binary H(2)O/HNO(3) films have been studied with NMR spectroscopy. The median freezing temperature and freezing temperature region were shown to be highly sensitive both to the average thickness of the adsorbed films and to the amount of adsorbed nitric acid. The molar concentration of nitric acid in the adsorbed films was found to be very small, on the order of 10(-3)-10(-2) (M/liter). The concentration was found to be greater in the layers adjacent to the surface of silica and sharply decreases with distance from the surface. The difference between the median freezing temperatures for adsorbed pure water and for the binary system was found to be about 9 K for films of equal thickness. This is about 150 times greater than the difference between the freezing temperatures of bulk pure water and a solution with the same concentration of nitric acid.

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Surface diffusion anomaly near a substrate phase transition: H on W(100).

Using a linear optical diffraction method, we have experimentally studied the long predicted diffusion anomalous behavior for H/W(100) near the reconstructive phase transition of the W(100) substrate. This anomaly manifests itself in the form of a strong dip in the diffusion coefficient D at the transition temperature T(C). We interpret the strong reduction of D as a result of the diverging friction damping near the transition. The finite dip in D instead of a vanishing D at T(C) also demonstrates the importance of the non-Markovian (memory) deviation from the simple instantaneous damping picture.

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A transitional phase in our understanding of the psychoanalytic process: a new look at Ferenczi and Rank.

In The Development of Psychoanalysis, Ferenczi and Rank (1922) demonstrate an important transitional phase in the conceptualization of the psychoanalytic process. It is not the archaic language of libidinal flow that separates their work from modern psychoanalysis, but their insistence on the ideal of the analysts's objective authority, despite the implicitly more current interpersonal and structural understandings embedded in their sound principles of character analysis. Freud's early theory presumed the possibility that an analyst could be an objective observer of forces entirely within the patient. Today's theories must account for newer intrapsychic, interpersonal, and intersubjective realities--the analyst's subjective experience as well as his observing functions. In the decade preceding the monograph, implicit developmental, structural, and object-relational understandings began to emerge. A concurrent dramatic but unacknowledged change in the meaning of the terms "psychic reality" and "intrapsychic" also occurred. The controversies surrounding the monograph predicted many lines of development and dialectics for future theoretical discourse. The subjects of countertransference and empathy, almost entirely absent in the monograph, became major fields of study, and focal points for divergent schools in the new struggle to define the necessary roles of the analyst's interaction and subjective experience.

Defense Mechanisms↗

Phase transitions and quantum effects in pore condensates: a path integral Monte Carlo study.

Lennard-Jones condensates in cylindrical pores are studied by path integral Monte Carlo simulations with particular emphasis on phase transitions and quantum effects. The pore diameter effect and the influence of the interaction strength between the cylinder wall and the adsorbate particles on the structures and the location of the phase boundaries is studied and the quantum effect on the phase diagram is quantified by path integral Monte Carlo simulations. In case of strong wall-particle interactions good qualitative agreement with recent experimental results for the freezing of Ar-pore condensates is found. Meniscus structures in the solid phase are obtained as well as unexpected condensate structures for the system with the lighter Ne-particles due to quantum delocalization effects. The quantum effect on the freezing temperature can be as large as 10% in these systems.

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Diffusion and concentration of molecular probes in thermoresponsive poly(N-isopropylacrylamide) hydrogels: effect of the volume phase transition.

Poly(N-isopropylacrylamide), NIPA, thermoresponsive hydrogels with well-defined concentrations of an electroactive probe, 1,1'-ferrocenedimethanol, Fc(MeOH)2, were prepared. The discontinuous reversible volume phase transition of such gels occurs at 32 +/- 1 degrees C and results in a release of approximately 93% of the solution from the polymeric network. Transport of Fc(MeOH)2 in both swollen and collapsed gels was studied using steady-state voltammetry and chronoamperometry at platinum microelectrodes. The diffusion coefficient of Fc(MeOH)2 in collapsed gels was approximately 2 orders of magnitude smaller than that in swollen gels. UV/vis spectroscopic studies showed that for 3.0% NIPA gel, the concentration of Fc(MeOH)2 in the collapsed phase was approximately 6 times higher than that in released solution and 4.5 times higher than in the original swollen gel.

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The influence of acyl chain-length asymmetry on the phase transition parameters of phosphatidylcholine dispersions.

The influence of acyl chain-length asymmetry on the thermodynamic parameters (Tm, delta H, and delta S) associated with the reversible main phase transition of aqueous dispersions prepared from saturated diacyl phosphatidylcholines was studied by high-resolution differential scanning calorimetry. Two series of saturated diacyl phosphatidylcholines, grouped according to their molecular weights of 678 and 706, with a total number of 25 molecular species were examined. The normalized acyl chain-length difference between the sn-1 and sn-2 acyl chains for a given phospholipid molecule in the gel-state bilayer is expressed quantitatively by the structural parameter delta C/CL, and the values of delta C/CL for the two series of lipids under study vary considerably from 0.04 to 0.67. When the value of delta C/CL is within the range of 0.09-0.40, it was shown that the thermodynamic parameters are, to a first approximation, a linear function of delta C/CL with a negative slope. In addition, the experimental Tm values and the predicted Tm values put forward by Huang (Biochemistry (1991) 30, 26-30) are in very good agreement. Beyond the point of delta C/CL = 0.41, the influence of acyl chain-length asymmetry on the thermodynamic parameters deviates significantly from a linear function. In fact, within the range of delta C/CL values of 0.42-0.67, the thermodynamic parameters in the Tm (or delta H) vs. delta C/CL plot were shown to be bell-shaped with the maximal Tm (or delta H) at delta C/CL = 0.57. These results are discussed in terms of changes in the acyl chain packing modes of various phosphatidylcholine molecules within the gel-state bilayer in excess water.

Calorimetry, Differential Scanning↗

Phase transition to frequency entrainment in a long chain of pulse-coupled oscillators.

A long chain of pulse-coupled oscillators was studied. The oscillators interacted via a phase response curve similar to those obtained from pacemaker cells in the heart. The natural frequencies were random numbers from a distribution with finite bandwidth. Stable frequency-entrained states were shown always to exist above a critical coupling strength. Below the critical coupling, the probability to have such states was shown to be zero if the number of oscillators is infinite. This discontinuity establishes the existence of a phase transition in the thermodynamic limit. For weak coupling, clusters of frequency-entrained oscillators emerged. The cluster sizes were exponentially distributed, even when the critical coupling was approached. At this coupling, the mean cluster size diverged to infinity according to a power law. The standard deviation of the distribution of mean frequencies in the chain converged to zero, also according to a power law.

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Tip splittings and phase transitions in the dielectric breakdown model: mapping to the diffusion-limited aggregation model.

We show that the fractal growth described by the dielectric breakdown model exhibits a phase transition in the multifractal spectrum of the growth measure. The transition takes place because the tip splitting of branches forms a fixed angle. This angle is eta dependent but it can be rescaled onto an "effectively" universal angle of the diffusion-limited aggregation branching process. We derive an analytic rescaling relation which is in agreement with numerical simulations. The dimension of the clusters decreases linearly with the angle and the growth becomes non-ractal at an angle close to 74 degrees (which corresponds to eta = 4.0+/-0.3).

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Critical fluctuations at the untilted-tilted phase transition in chiral smectic liquid crystals

The layer compression modulus B was measured near the Sm-A-Sm-C* and Sm-A-Sm-C(*)(A) transitions of chiral smectic liquid crystals. B shows a marked pretransitional softening due to the order parameter fluctuations above the phase transition. The width of the critical region of the Sm-A-Sm-C* and Sm-A-Sm-C(*)(A) transitions is smaller than that of the Sm-A-Sm-C(*)(alpha) transition. The critical exponents of B are in agreement with the theoretical description based on renormalization-group method. These results reveal that these transitions are not of the Landau mean-field type.

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