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PubMed2005

Phosphorus: first principle simulation of a liquid-liquid phase transition.

We report a Car-Parrinello molecular dynamics study of the liquid-liquid phase transition in phosphorus. We employed a gradient corrected density functional (B-LYP) to describe the electronic structure and performed simulations at constant pressure. Upon increasing pressure we observed, along the 1500 K isotherm, a structural transition converting the molecular P4 liquid into an atomic liquid with a network structure. Our calculations suggest this transition to be first order with a discontinuous density increase accompanied by an insulator into metal transition. The transition pressure is significantly higher than obtained by employing the less accurate local density functional (LDA) [Morishita, Phys. Rev. Lett. 87, 105701 (2001)], which matches the experimental value for the pressure. We argue why the LDA result should be considered fortuitous. The change of the calculated structure factor upon the transition shows the same trend as experimentally observed. Analysis of the structural changes during the phase transition revealed that a chain of linked and opened up ("butterfly") P4 molecules may serve as a seed triggering the transition from the molecular to the network phase.

Journal Article↗
PubMed2004

Statistical mechanics of topological phase transitions in networks.

We provide a phenomenological theory for topological transitions in restructuring networks. In this statistical mechanical approach energy is assigned to the different network topologies and temperature is used as a quantity referring to the level of noise during the rewiring of the edges. The associated microscopic dynamics satisfies the detailed balance condition and is equivalent to a lattice gas model on the edge-dual graph of a fully connected network. In our studies-based on an exact enumeration method, Monte Carlo simulations, and theoretical considerations-we find a rich variety of topological phase transitions when the temperature is varied. These transitions signal singular changes in the essential features of the global structure of the network. Depending on the energy function chosen, the observed transitions can be best monitored using the order parameters Phi(s)=s(max)/M, i.e., the size of the largest connected component divided by the number of edges, or Phi(k)=k(max)/M, the largest degree in the network divided by the number of edges. If, for example, the energy is chosen to be E=-s(max), the observed transition is analogous to the percolation phase transition of random graphs. For this choice of the energy, the phase diagram in the ( ,T) plane is constructed. Single-vertex energies of the form E= summation operator (i)f(k(i)), where k(i) is the degree of vertex i, are also studied. Depending on the form of f(k(i)), first-order and continuous phase transitions can be observed. In case of f(k(i))=-(k(i)+alpha)ln(k(i)), the transition is continuous, and at the critical temperature scale-free graphs can be recovered. Finally, by abruptly decreasing the temperature, nonequilibrium processes (e.g., nucleation and growth of particular topological phases) can also be interpreted by the present approach.

Journal Article↗
PubMed2002

Molecular dynamics and IR spectroscopy in investigation of phase transitions in molecular crystal 4,4'-bis(11-hydroxy-1-undecyloxy)biphenyl.

Molecular dynamics (MD) simulations combined with temperature-dependent IR spectroscopic measurements were used to study phase transitions in molecular crystals of the mesogenic diol 4,4'-bis(11-hydroxy-1-undecyloxy)biphenyl. DSC measurements revealed four phase transitions in this molecular crystal at approximately 327.1 K, 389.8 K, 419.1 K and 431.9 K. Analysis of the dynamic trajectories at temperatures of 300 K, 360 K, 400 K and 480 K revealed changes in conformation of the mesogenic diol molecules and consequently changes in crystal packing and crystal structure in the temperature range 300-480 K and enabled us to understand the mechanism of the phase transitions.

Biphenyl Compounds↗
PubMed2002

Calculation of the brillouin frequencies close to phase transitions in NaNO2.

We calculate here the Brillouin frequencies of the L-mode [010], [001] and [100] of NaNO2 for the phase transitions from the paraelectric phase to the sinusoidal anti-ferroelectric phase near the Neel temperature (TN = 437.7 K) and to the ferroelectric phase near the critical temperature (TC = 436.3 K) in this crystalline system. For calculating the frequencies. we use the thermal expansivity data for the phase regions considered, under the assumption that the mode Gruneisen parameter determined for each mode remains constant across the phase transitions. Our calculated frequencies agree well with the observed frequencies for the modes studied in NaNO2.

Kinetics↗
PubMed1976

Ionic influences on the phase transition of dipalmitoylphosphatidylserine.

The ionization and phase behavior of 1,2-dipalmitoyl-sn-glycero-3-phosphoserine have been investigated under a variety of condtions by several different methods. As measured by turbidity changes, the temperature of the crystal-liquid crystal phase transition of this lipid is influenced by pH and mono- and divalent cation concentrations. The pH-transition temperature curve is congruent with the curve relating temperature to the degree of ionization of the carboxyl group of the crystalline form. The transition temperature falls from an upper plateau of 72 degrees C at low pH values, where the carboxyl group is fully protonated, to a lower plateau of 55 degrees C at high pH values, where this group is fully ionized. The apparent pK (pH at 50% ionization) of the crystalline form shifts from 6.0 to 4.6 to 3.7 with an increase of NaCl concentration from 10(-3) to 0.1 to l.0 M, respectively. These observations are in accord with a simple theoretical analysis that utilizes diffuse double layer theory and the influence of surface potential on surface concentration of protons. In qualitative terms, an increase in electrolyte concentration reduces the surface potential, the result of which is a diminution of the surface-bulk pH difference and a lowering of the apparent pK. Assuming an area of 50 A2/molecule, the intrinsic pKa (apparent pK corrected for surface pH) of the carboxyl group is 2.7. A 1000-fold change of NaCl concentration produces a very large change in surface potential without influencing the transition temperature of the ionized form of the lipid.

Calorimetry↗
PubMed1980

Scanning calorimetric evidence for a third phase transition in phosphatidylcholine bilayers.

A third phase transition, centered at about 18 degrees C, was observed by differential scanning calorimetry in a multilamellar suspension of dipalmitoyl phosphatidylcholine that had been held at 0 degrees C for several days. This transition is less cooperative than the other two transitions which are well known for this system, and it is accompanied by an enthalpy increase about three times as large as that of the so-called pretransition at 35 degrees C and about half that of the main gel to liquid crystal transition at 41 degrees C. The reversal of this transition on cooling is extremely slow.

Biophysical Phenomena↗
PubMed2006

Ultra-stable temperature control in EPR experiments: thermodynamics of gel-to-liquid phase transition in spin-labeled phospholipid bilayers and bilayer perturbations by spin labels.

An ultra-stable variable temperature accessory for EPR experiments with biological samples has been designed and tested. The accessory is comprised from a digitally controlled circulator bath that pumps fluid through high-efficiency aluminum radiators attached to an EPR resonator of a commercial X-band EPR spectrometer. Temperature stability of this new accessory after a 15 min re-equilibration is at least +/-0.007 K. For a standard 1-cm-long capillary sample arranged inside an EPR tube filled with silicon oil, the temperature variations do not exceed +/-0.033 K over the sample temperature range from 283 to 333 K. This new accessory has been tested by carrying out a comparative spin-labeling EPR and differential scanning calorimetry (DSC) study of the gel-to-liquid phase transition in multilamellar vesicles (MLV) composed of a synthetic phospholipid 1,2-dimyristoyl-sn-glycero-3-phosphatidylcholine (DMPC). We demonstrate that the gel-to-liquid phase transition temperatures of MLV DMPC measured by EPR and DSC agree within +/-0.02 K experimental error even though the sample for EPR study was labeled with 1 mol% of 5PC (1-palmitoyl-2-stearoyl-(5-doxyl)-sn-glycero-3 phosphocholine). Cooperative unit number measured by EPR, N=676+/-36, was almost 50% higher than that obtained from DSC (N=458+/-18). These high values of N indicate that (i) the lipid domains should include at least several spin-labeled lipid molecules and (ii) the spin-probe 5PC molecules are not excluded into domains that are different from the bulk lipid phase as was speculated earlier. Overall, our data provide DSC and EPR evidence that in studies of the gel-to-liquid phase transition, the effect of bilayer perturbation by spin-labeled lipids is negligible and therefore thermodynamic parameters of the phase transition can be accurately measured by spin-labeling EPR. This might serve as an indication when spin-labeled molecules with structures similar to those of lipids are introduced at low concentrations, they are easily accommodated by fluid phospholipid bilayers without significant losses of the lipid cooperativity.

Electron Spin Resonance Spectroscopy↗
PubMed2005

The phase transition temperatures of a liquid crystal determined from FT-IR spectra explored by principal component analysis.

The FT-IR spectra of a thin layer of pure 4-chloro-2'-hydroxy-4'-pentyloxyazobenzene (CHPAB) were studied as a function of temperature. A detailed analysis of the intensity variations was performed by a method based on principal component analysis (PCA). It was shown that the phase transition temperatures obtained by means of PCA and those determined by differential scanning calorimetry (DSC), the most widely used technique in the field, were nearly identical. The PCA results revealed that the transition from solid to a liquid crystalline (LC) phase (smectic A) is more drastic phase transition in terms of infrared absorption changes. The nematic to isotropic phase transition is much less infrared sensitive. Very much smaller absorption changes are associated with the transition between the smectic and nematic mesophases. The pattern of the intensity changes strictly is correlated with the orientation of the CHPAB molecules towards the surface windows due to the surface-induced homeotropic alignment of LC molecules. The important role of hydrogen bonding interaction on the observed transition is disclosed.

Azo Compounds↗
PubMed1999

Polymorphic phase transitions in systems evolving in a two-dimensional discrete space.

Polymorphic phase transitions in systems evolving in a two-dimensional discrete space have been studied. The driving force of the transitions appears to be a difference between two main energetic contributions: one, related to the thermal activation of the process, and another, being of quantum nature. The former (high temperature limit) is naturally assigned to the expansion (melting) part of the transition, while the latter (low temperature limit) has much in common with the contraction (solidification) part. Between the two main physical states distinguished, there exists a certain state, corresponding to a discontinuity point (pole) in the morphological phase diagram, represented by the well-known Bose-Einstein (Planck) formula, in which the system blows up. This point is related to an expected situation in which the contour of the object under investigation stands for the Brownian or purely diffusional path, with the fractal dimension dw=2, and the situation can be interpreted as some emergence of an intermediate "tetratic" phase. This, in turn, recalls a certain analogy to the equilibrium (order-disorder) phase transition of Kosterlitz-Thouless type, characteristic of, e.g., rough vs rigid interfaces in a two-dimensional space, with some disappearance of interface correlation length at dw=2. Otherwise, the contours of the objects are equivalent to fractional Brownian paths either in superlinear or "turbulent" (dw<2; the expansion case), or sublinear, viz., anomalously slow (dw>2; the contraction case) regimes, respectively. It is hoped that the description offered will serve to reflect properly the main subtleties of the dynamics of the polymorphic transitions in complex "soft-matter" systems, like formation of lipid mesomorphs or diffusional patterns, with nonzero line tension effect.

Journal Article↗
PubMed2003

Phase transitions, Kauzmann curves, and inverse melting.

Walter Kauzmann's classic 1948 review of liquid supercooling and glass formation drew attention to the temperatures at which (by extrapolation) enthalpies and entropies of liquid and crystal phases would appear to become equal. In the temperature-pressure (T, p) plane, the collection of such 'Kauzmann temperatures' generate characteristic curves. The present study examines the connection of those Kauzmann loci to equilibrium inverse melting phenomena, i.e. cases where isobaric heating causes freezing of the liquid. Such cases are associated with local minima or maxima in the melting curve p(m)(T), and we point out the possible relevance of melting curve maxima to the thermodynamics of protein folding. Both equal-enthalpy and equal-entropy Kauzmann curves must pass through melting curve extrema. Three thermodynamic identities have been obtained to describe the vicinity of these points; they involve, respectively, the slopes of the two Kauzmann curves, and the second temperature derivative of the melting pressure. The second of these three equations is formally identical to the first Ehrenfest relation for second-order phase transitions, but carries no phase-transition implication. For purposes of specific numerical illustration, the inverse-melting behavior displayed by (3)He at low temperature has been analyzed in detail.

Helium↗
PubMed1995

Real-time X-ray diffraction study at different scan rates of phase transitions for dipalmitoylphosphatidylcholine in KSCN.

Multibilayer arrays of dipalmitoylphosphatidylcholine (DPPC) in 1 M KSCN were characterized using real-time X-ray diffraction and differential scanning calorimetry. A phase transition sequence was observed as a function of increasing temperature which involved changes from the interdigitated subgel (Lc(inter)) to interdigitated gel (L beta(inter)) to disordered (L alpha) bilayer states. The phase transition mechanisms were unambiguously determined by comparison of results from fast and slow scans. The Lc(inter)-->L beta(inter) phase transition was shown to involve a continuous change in acyl chain spacing between the rectangular subgel acyl chain unit cell into an hexagonal gel acyl chain unit cell. The mechanism is similar to that for subgel to gel state transitions involving non-interdigitated DPPC bilayers.

1,2-Dipalmitoylphosphatidylcholine↗
PubMed2001

Locally critical quantum phase transitions in strongly correlated metals.

When a metal undergoes a continuous quantum phase transition, non-Fermi-liquid behaviour arises near the critical point. All the low-energy degrees of freedom induced by quantum criticality are usually assumed to be spatially extended, corresponding to long-wavelength fluctuations of the order parameter. But this picture has been contradicted by the results of recent experiments on a prototype system: heavy fermion metals at a zero-temperature magnetic transition. In particular, neutron scattering from CeCu6-x Aux has revealed anomalous dynamics at atomic length scales, leading to much debate as to the fate of the local moments in the quantum-critical regime. Here we report our theoretical finding of a locally critical quantum phase transition in a model of heavy fermions. The dynamics at the critical point are in agreement with experiment. We propose local criticality to be a phenomenon of general relevance to strongly correlated metals.

Journal Article↗
PubMed2002

Materials science of the gel to fluid phase transition in a supported phospholipid bilayer.

We report the results of in situ AFM measurements examining the phase transition of bilayers formed from the zwitterionic phospholipid, DMPC, 1,2-dimyristoyl-sn-glycero-3-phosphocholine, supported on mica. The images show that the fluid to gel phase transition process features substantial tearing of the bilayer due to the density change between the two phases. The gel to fluid transition is strongly affected by the resultant stress introduced into the gel phase, which changes the degree of cooperativity, the shape of developing fluid phase regions, and the course of the transition.

Aluminum Silicates↗
PubMed2003

Chaos and the quantum phase transition in the Dicke model.

We investigate the quantum-chaotic properties of the Dicke Hamiltonian; a quantum-optical model that describes a single-mode bosonic field interacting with an ensemble of N two-level atoms. This model exhibits a zero-temperature quantum phase transition in the N --> infinity limit, which we describe exactly in an effective Hamiltonian approach. We then numerically investigate the system at finite N, and by analyzing the level statistics, we demonstrate that the system undergoes a transition from quasi-integrability to quantum chaotic, and that this transition is caused by the precursors of the quantum phase transition. Our considerations of the wave function indicate that this is connected with a delocalization of the system and the emergence of macroscopic coherence. We also derive a semiclassical Dicke model that exhibits analogues of all the important features of the quantum model, such as the phase transition and the concurrent onset of chaos.

Journal Article↗
PubMed2001

An unusual phase transition to a second liquid vortex phase in the superconductor YBa2Cu3O7.

A magnetic field penetrates a superconductor through an array of 'vortices', each of which carries one quantum of flux that is surrounded by a circulating supercurrent. In this vortex state, the resistivity is determined by the dynamical properties of the vortex 'matter'. For the high-temperature copper oxide superconductors (see ref.1 for a theoretical review), the vortex phase can be a 'solid', in which the vortices are pinned, but the solid can 'melt' into a 'liquid' phase, in which their mobility gives rise to a finite resistance. (This melting phenomenon is also believed to occur in conventional superconductors, but in an experimentally inaccessible part of the phase diagram.) For the case of YBa2Cu3O7, there are indications of the existence of a critical point, at which the character of the melting changes. But neither the thermodynamic nature of the melting, nor the phase diagram in the vicinity of the critical point, has been well established. Here we report measurements of specific heat and magnetization that determine the phase diagram in this material to 26 T, well above the critical point. Our results reveal the presence of a reversible second-order transition above the critical point. An unusual feature of this transition-namely, that the high-temperature phase is the less symmetric in the sense of the Landau theory-is in accord with theoretical predictions of a transition to a second vortex-liquid phase.

Journal Article↗
PubMed2001

Maier-Saupe and Onsager approaches as limits of the nematic-isotropic phase transition.

Through a virial expansion, the long and small range properties of the interaction between ellipsoidal nematic molecules are put together in a unique approach that combines the essentials of some classical models that describe the nematic-isotropic phase transition. The Lennard-Jones potential that mediates the interaction between the centers of the mass of molecules, the long range Maier-Saupe interaction that favors their alignment and the molecular hard core that hinders their close approximation, as in the Onsager model, are combined in a unique approach that exhibits two phases transitions; the gaseous-liquid transition and the nematic-isotropic phase transition. As a conclusion, the Onsager and Maier-Saupe approaches were considered limits of the actual physical situation.

Journal Article↗
PubMed2006

Generalized van der Waals theory of liquid-liquid phase transitions.

In the framework of the thermodynamic perturbation theory for fluids we study how the phase diagram of an isotropic repulsive soft-core attractive potential, where a liquid-liquid phase transition exists in addition to the standard gas-liquid phase transition, changes by varying the parameters of the potential. We show that there are some regions in a potential parameter space where a high-density liquid-liquid critical point can exist in addition to the conventional gas-liquid critical point. It is also found that there is a correlation between the behavior of the phase diagram as a function of width of the repulsive step and the structure of the correlation function of a reference liquid.

Journal Article↗