共聚物P(VDF-TrFE)在高压下的电学性质与相变

 研究了共聚物P（VDF-TrFE）（物质的量分数分别为80%、20%）在室温下、14 GPa内的电容、电阻与压力的关系。实验结果表明，它在14 GPa内存在两个相交：第一个相变发生在1.1 GPa左右；而第二个相变发生在5～6 GPa左右。     

QCD at finite temperature and density within the fRG approach: an overview

In this paper, we present an overview on recent progress in studies of QCD at finite temperature and densities within the functional renormalization group (fRG) approach. The fRG is a nonperturbative continuum field approach, in which quantum, thermal and density fluctuations are integrated successively with the evolution of the renormalization group (RG) scale. The fRG results for the QCD phase structure and the location of the critical end point (CEP), the QCD equation of state (EoS), the magnetic EoS, baryon number fluctuations confronted with recent experimental measurements, various critical exponents, spectral functions in the critical region, the dynamical critical exponent, etc, are presented. Recent estimates of the location of the CEP from first-principle QCD calculations within fRG and Dyson–Schwinger equations, which pass through lattice benchmark tests at small baryon chemical potentials, converge in a rather small region at baryon chemical potentials of about 600 MeV. A region of inhomogeneous instability indicated by a negative wave function renormalization is found with μ_B ≳ 420 MeV. It is found that the non-monotonic dependence of the kurtosis of the net-proton number distributions on the beam collision energy observed in experiments could arise from the increasingly sharp crossover in the regime of low collision energy.     

Study of high pressure behavior and elastic properties of praseodymium monochalcogenides and monopnictides

The structural and elastic properties of praseodymium monochalcogenides (PrX: X = S, Se, Te) and monopnictides (PrY: Y = P, As, Sb, Bi) with NaCl-type structure have been investigated by using an interionic potential theory with necessary modification to include the effect of Coulomb screening due to the delocalized f-electrons of rare earth ion. The calculations are done at ambient as well as at high pressure. The structure of the high pressure phase of PrX compounds is CsCl-type while all the PrY compounds have been found to undergo from their initial NaCl-type structure to high pressure body centered tetragonal (BCT) structure, which can be seen as the distorted CsCl-type with c/a ratio ≈ 0.82–0.87. The calculated transition pressures are in good agreement with the experimental results. The elastic properties like second-order elastic constants for PrX, Y compounds are calculated for the first time. The nature of the bonding is also predicted by calculating the distance between the ions with the increasing pressure.     

On the possibility of excitonic phases at the semiconductor–semimetal transition

Motivated by recent experimental evidences for pressure-induced exciton condensation in intermediate valent Tm[Se,Te] compounds, we re-examine, adopting a BEC–BCS crossover scenario, the formation and stability of exciton insulator versus electron–hole liquid phases.     

Reconstruction on Trees and Spin Glass Transition

Consider an information source generating a symbol at the root of a tree network whose links correspond to noisy communication channels, and broadcasting it through the network. We study the problem of reconstructing the transmitted symbol from the information received at the leaves. In the large system limit, reconstruction is possible when the channel noise is smaller than a threshold.We show that this threshold coincides with the dynamical (replica symmetry breaking) glass transition for an associated statistical physics problem. Motivated by this correspondence, we derive a variational principle which implies new rigorous bounds on the reconstruction threshold. Finally, we apply a standard numerical procedure used in statistical physics, to predict the reconstruction thresholds in various channels. In particular, we prove a bound on the reconstruction problem for the antiferromagnetic “Potts” channels, which implies, in the noiseless limit, new results on random proper colorings of infinite regular trees.This relation to the reconstruction problem also offers interesting perspective for putting on a clean mathematical basis the theory of glasses on random graphs. PACS: 02.50.−r (Probability theory, stochastic processes, and statistics), 64.70.Pf (Glass transitions), 89.75.Hc (Networks and genealogical trees)     

A Solvable Model of Interface Depinning in Random Media

We study the mean-field version of a model proposed by Leschhorn to describe the depinning transition of interfaces in random media. We show that evolution equations for the distribution of forces felt by the interface sites can be written directly for an infinite system. For a flat distribution of random local forces the value of the depinning threshold can be obtained exactly. In the case of parallel dynamics (all unstable sites move simultaneously), due to the discrete character of the interface heights allowed in the model, the motion of the center of mass is non-uniform in time in the moving phase close to the threshold, and the mean interface velocity vanishes with a square-root singularity.     

共聚物P(VDF-TrFE)在高压下的电学性质与相变(英)

研究了共聚物P（VDF－TrFE）（物质的量分数分别为80％、20％）在室温下、14GPa内的电容、电阻与压力的关系。实验结果表明，它在14GPa内存在两个相交：第一个相变发生在1．1GPa左右；而第二个相变发生在5～6GPa左右。     

Detection of water–ice phase transition based on Raman spectrum

A simplified dimensionless method was constructed to characterize the phase transition between water and ice based on Raman spectrum (RS) without contact testing samples. This method reduces the requirement of the spectrum intensity, simplifies the complex mathematical analysis and improves the resolution of detection which only depends on the relative intensity of RS. The current work establishes an important tool for accurate characterization of RS so that it could better interpret various phase transition mechanisms of water and aqueous solutions. Copyright © 2013 John Wiley & Sons, Ltd.     

Fluorescence Analysis of Acridine Orange Adsorbate at the Water/N-Heptane Interface, Bulk and Interface

The amphiphilic nature of 3, 6-bisdimethylaminoacridine (trivial name, acridine orange) can be used to characterize (polar/nonpolar) interfaces. This paper studies the properties of acridine orange and its dodecyl derivative at a solvent interface by internal reflection and tension determinations. In the case of absorbance measurements of crystallized acridine orange, the potenz value of the conventional acid dissociation constant pK _a was found to be 9.6. A clear isosbestic point could be obtained after purification at a unique pH for different concentrations. In contrast, in the absorbance measurements of acridine orange dodecyl, no isosbestic point was observed; this was attributed to the free long dodecyl chain. The overlap in the absorbance spectrum and the normalized fluorescence spectrum was found in many solvents around 500 nm. Neutral species were more likely to transfer into organic phase upon shaking. For fluorescence measurements both steady-state and time-resolved spectra were investigated. Results showed that at the interface a bathochromic shift happened to the maxima. This means that chromophore species aggregated at the interface as the dimer or trimer or the macro oligomer. Fluorescence polarization in bulk was calculated and found to be ca. 0.4. For interfacial measurements a dynamic volume method was applied to obtain the interfacial tension. An extrapolated Gibbs plot was obtained. Increasing bulk concentration increased the concentration at the interface to a finite value representing saturation.     

Interface of quasicrystal and crystal

A model on the coexisting phase of quasicrystal-crystal is proposed,with which we concretely investigate the interface effects for coexisting phases of one-dimensional orthorhombic quasicrystal-isotropic crystal and three-dimensional icosahedral quasicrystal-cubic crystal.The phason strain fields which play an important role in some processes are determined.Some factors affecting the strain fields,e.g.,the material constants of phonon,phason,phonon-phason coupling of the quasicrystal and the elastic modulus and the size of the crystal are also explored.     

Internet Websites Statistics Expressed in the Framework of the Ursell—Mayer Cluster Formalism

We show that it is possible to generalize the Ursell–Mayer cluster formalism so that it may cover also the statistics of Internet websites. Our starting point is the introduction of an extra variable that is assumed to take account, as will be explained, of the nature of the Internet statistics. We then show, following the arguments in Mayer, that one may obtain a phase transition-like phenomena.     

Understanding search trees via statistical physics

We study the randomm-ary search tree model (wherem stands for the number of branches of the search tree), an important problem for data storage in computer science, using a variety of statistical physics techniques that allow us to obtain exact asymptotic results. In particular, we show that the probability distributions of extreme observables associated with a random search tree such as the height and the balanced height of a tree have a travelling front structure. In addition, the variance of the number of nodes needed to store a data string of a given sizeN is shown to undergo a striking phase transition at a critical value of the branching ratiom _c = 26. We identified the mechanism of this phase transition and showed that it is generic and occurs in various other problems as well. New results are obtained when each element of the data string is a D-dimensional vector. We show that this problem also has a phase transition at a critical dimension,D _c = π/ sin^-1 (l/√8) = 8.69363 …     

Disentanglement of Two Qubits Coupled to an XY Spin Chain at Finite Temperature

The disentanglement evolution of bipartite spin-1/2 system coupled to a common surrounding XY chain in transverse fields at nonzero temperature is studied in this letter. The dynamical process of the entanglement is numerically and analytically investigated. We find that thermal effects can enhance disentanglement if the entangled initial state of the central spins does not in the decoherence free space. The critical phenomenon of quantum phase transitions reflected in the disentanglement can be washed out by the thermal effect eventually.     

Effective spin susceptibility, electron mass and Landé factor in two-dimensional (2D) Si inversion layers

We have studied the silicon (Si) band-structure, electron–electron and electron-ionized donor interaction effects on our accurate and approximate results (AcR and ApR) for renormalized effective spin susceptibitity (RESS), electron mass (EEM), Landé factor and spin polarization in the impure 2D Si (electron system), showing that:(i) our ApR, being strongly deviated from our AcR, reproduces approximately all the data obtained recently by Pudalov et al. (Phys. Rev. Lett. 88 (2002) 196404) [in particular, RESS =4.7 at the critical value of Wigner–Seitz radius r_s: r_s=r_c≈8.5 at which occur the “apparent” metal–insulator transition (MIT)] and can also be compared with other ApRs found in the recent literature,(ii) both the RESS and EEM produce physical singularities at the same critical value: r_s=r_c11.05661 (weakly disordered samples) at which occurs the “true” MIT; the existence of such two “apparent and true” critical values in this impure system agrees with a recent discussion by Abrahams et al. (Rev. Mod. Phys. 73 (2001) 251), and(iii) at r_s=r_c=8.5, at which occurs the “apparent” MIT, our AcR for effective spin polarization and the corresponding result, obtained using a disordered Hubbard model and a determinant quantum Monte Carlo method by Denteneer and Scalettar (Phys. Rev. Lett. 90 (2003) 246401), both give the same result: ξ_eff.=ξ_c0.31 at B0.4 T, which is found to be lower than the critical parallel magnetic field for full spin polarization, B_c=1.29 T, supporting thus the existence of such an “apparent” MIT.     

Phase Diagram of One-Dimensional Bosons in an Array of Local Nonlinear Potentials at Zero Temperature

The Gaussian wave functional method is applied to a boson system with an array of local nonlinear potentials cos[βφ(nR)] to study the phase diagram of its ground state. The stable ground state is determined by the renormalized mass μ which is a function of the parameter γ=β²/4φ, the strength of potential α and the potential concentration c. In different cases γ<γ₁, γ₁<γ<γ₂ and γ>γ₂, μ can have different multiplicities, the phase diagram in parameter space is thus depicted. The value γ=γ₁ depends on the concentration c, for c→0, it coincides with that of the single impurity model; while γ₂=2 coincides with the conclusion of the continuous model.     

Hydrostatic-pressure induced phase transition of phonons in single-walled nanotubes

We study the effect of the hydrostatic pressure on the phonons in single-walled carbon nanotubes (SWNTs) in a magnetic field. We calculate the magnetic moments of the phonons using a functional integral technique, and find that the phonons in SWNTs undergo a pressure-induced phase transition from the paramagnetic phase to the diamagnetic phase under hydrostatic pressure 2 GPa. We explain the mechanism of generating this phase transition.     

Resonance Raman spectroscopic study of shape‐induced phase transition in CdSe nanoclusters

We report an observation of shape‐induced phase transition from wurtzite to zinc blende phase of encapsulated CdSe nanoclusters in mesoporous silica. Presence of both the phases is also observed in the as‐grown sample before encapsulation. Role of interfacial energy in the energetic mesopores, as the possible origin of phase transition, is thus ruled out, as the samples are encapsulated subsequent to their synthesis in the soft chemistry route. Electron–phonon coupling in the resonant Raman spectroscopic studies, using different energies for clusters of different phase and shape, thereby confirms the presence of both the wurtzite and the zinc blende phases. Transmission electron microscopic studies are used for the direct evidence of the shape‐induced solid–solid phase transition between two crystalline phases, for the first time. Small fluctuation of energies, in the form of shape, during its growth may be the driving force for the observed phenomenon, as the surface energy of both the phases stabilizes to the same value. Thus, finally, specific shapes can be used as one of the ways to differentiate the resulting phases. Copyright © 2014 John Wiley & Sons, Ltd.     

Some Remarks on Large-Time Asymptotic of the Lifshitz–Slyozov Equations

We obtain an entropy functional for the Lifshitz–Slyozov system. This can be used to investigate the time asymptotics of the system. In particular, we describe situations in which the monomers concentration either tend to 0 or saturate as time becomes large. The latter situation can be excluded under assumptions on the support of the initial data.     

Simultaneous soft pulses applied at nearby frequencies

The rotation of a spin subject to an on-resonance soft pulse and simultaneously to a soft pulse at a nearby frequency may strongly deviate from the desired rotation expected for a single on-resonance pulse. The deviation is the result of transient frequency shifts of the spin caused by the off-resonance irradiation. We show that the resulting error can be corrected by shifting the frequency of the on-resonance pulse in such a way that it tracks the shift of the spin frequency. Experimentally, the effectiveness of this simple and intuitive method is demonstrated for simultaneous inversions at nearby frequencies in the case of both coupled and uncoupled spins. Simulations predict that the correction technique is effective for arbitrary pulse shapes and tip angles and is particularly useful when the frequency window of the shaped pulse is two to eight times the frequency separation between the chemical shifts of the two spins.     

Multifractal Spectra of Fragmentation Processes

Let (S(t),t0) be a homogeneous fragmentation of ]0,1[ with no loss of mass. For x]0,1[, we say that the fragmentation speed of x is v if and only if, as time passes, the size of the fragment that contains x decays exponentially with rate v. We show that there is v _typ>0 such that almost every point x]0,1[ has speed v _typ. Nonetheless, for v in a certain range, the random set _v of points of speed v, is dense in ]0,1[, and we compute explicitly the spectrum vDim( _v ) where Dim is the Hausdorff dimension.