Atomistic Simulation of the Equation of State of SrF 2 Using Electron Gas Interionic Potentials

We have determined the equation of state (EOS) of SrF 2 in the cubic (C1, Fm3m ) and orthorhombic (C23, Pbnm ) phases using Electron Gas Interionic Potentials (EGIP) that incorporate many-body energy components. Thermal effects are included by means of a quasi-harmonic Debye model. The zero pressure unit cell length ( a 0 ), lattice energy ( E latt ), bulk modulus ( B 0 ), and EOS of the C1 phase are predicted in good agreement with the observed data. Moreover, the computed EOS satisfy very well the empirical Vinet EOS. Fittings of m / m 0 m p data ( m = a, b, c ) to linear forms of the Vinet EOS reveal that SrF 2 (C23) is more compressible along the b and c axes than along the a direction. Finally, the {\rm C1}\rightleftharpoons {\rm C23} transition is predicted to occur at p t =3.92 GPa, which is between the observed direct ( p t =5.0 GPa) and reverse C1 ( p t =1.7 GPa) phase transitions.     

Localization transition of biased random walks on random networks

We study random walks on large random graphs that are biased towards a randomly chosen but fixed target node. We show that a critical bias strength bc exists such that most walks find the target within a finite time when b > bc. For b < bc, a finite fraction of walks drift off to infinity before hitting the target. The phase transition at b=bc is a critical point in the sense that quantities such as the return probability P(t) show power laws, but finite-size behavior is complex and does not obey the usual finite-size scaling ansatz. By extending rigorous results for biased walks on Galton-Watson trees, we give the exact analytical value for bc and verify it by large scale simulations.     

Significance of diagnostic parameters in [(13)c]octanoic Acid gastric emptying breath tests*

Abstract Two novel characteristic parameters, the latency time (t (lat)) and the ascension time (t (asc)), are proposed for evaluation of non-invasive [(13)C]octanoic acid breath tests for assessment of the gastric emptying of solids. In breath tests performed in control subjects (n = 30) and diabetic patients (n = 100), the usefulness of these parameters was compared to conventional parameters, i.e., gastric half emptying-time t (1/2,b )) and lag phase (t (lag,b )). The proposed parameters were only loosely correlated (controls, r = 0.199; diabetics, 0.616). A strong correlation was found between the conventional parameters (controls, r = 0.891; diabetics, r = 0.962). Based on the conventional method, 36 patients were suspicious of delayed gastric emptying including 24 patients which exhibited a simultaneous delay in both parameters. Using the new parameters, a total of 46 patients were suspicious of delayed gastric emptying with 15 and 20 having isolated delay in t (lat) and t (asc), respectively. We conclude that the novel parameters may be more appropriate for examination of the different phases of gastric emptying and for evaluation of gastric emptying disturbances in diabetic patients than the parameters conventionally used for this purpose.     

Strong CP in Heavy Quark Physics

We argue that strong CP phase should be shifted to b and t quark masses due to the requirement of vacuum stability. The strong CP problem in low energy sector thus disappears. We predict large CP violation in electric dipole moment of W and heavy quarks.     

Number-Difference Orthonormal Representation

We study the properties of two-mode phase operator √(a⁺+b)/(a+b⁺) and the phase state by constructing the number-difference orthonormal state |q, г). We prove that |q, г ) constitutes a complete and orthonormal representation (number-difference representation). We show that two-mode phase operator √(a⁺+b)/(a+b⁺) exhibits its phase behavior explicitly in the number-difference representation, which resembles the single-mode phase operator e^iψ ≡ (1/√a⁺a+1)a. The corresponding phase state is also studied.     

Precise measurement of the top quark mass in the dilepton channel at D0

We measure the top quark mass (m(t)) in p ?p collisions at a center of mass energy √s = 1.96 TeV using dilepton t ?t→W(+)bW(-) ?b→?(+)ν(?)b?(-) ?ν(?) ?b events, where ? denotes an electron, a muon, or a tau that decays leptonically. The data correspond to an integrated luminosity of 5.4 fb(-1) collected with the D0 detector at the Fermilab Tevatron Collider. We obtain m(t)=174.0±1.8(stat)±2.4(syst) GeV, which is in agreement with the current world average m(t)=173.3±1.1 GeV. This is currently the most precise measurement of m(t) in the dilepton channel.     

Phase diagram of the one-dimensional half-filled extended Hubbard model

We determine the ground-state phase diagram of the one-dimensional half-filled Hubbard model with on-site (nearest-neighbor) repulsive interaction U (V) and nearest-neighbor hopping t using the density-matrix renormalization group technique. Based on the results of the excitation gaps, Luttinger-liquid exponents, and bond-order-wave (BOW) order parameter, we confirm that the BOW phase appears in a substantial region between the charge-density-wave (CDW) and spin-density-wave phases. Each phase boundary is determined by multiple means and it allows us to make a cross-check on the validity of our estimations. We also find that the BOW-CDW transition changes from continuous to first order at the tricritical point (U(t),V(t)) approximately (5.89 t,3.10 t) and the BOW phase shrinks to zero at the critical end point (U(c),V(c)) approximately (9.25 t,4.76 t).     

Search for pair production of scalar top quarks in R-parity violating decay modes in pp collisions at square root of s=1.8 TeV

We present the results of a search for pair production of scalar top quarks (t(1)) in an R-parity violating supersymmetry scenario in 106 pb(-1) of pp collisions at square root of s=1.8 TeV collected by the Collider Detector at Fermilab. In this mode each t(1) decays into a tau lepton and a b quark. We search for events with two tau's, one decaying leptonically (e or mu) and one decaying hadronically, and two jets. No candidate events pass our final selection criteria. We set a 95% confidence level lower limit on the t(1) mass at 122 GeV/c(2) for Br(t(1)-->tau b)=1.     

Theory of anomalous critical-cluster content in high-pressure binary nucleation

Nucleation experiments in binary (a-b) mixtures, when component a is supersaturated and b (carrier gas) is undersaturated, reveal that for some mixtures at high pressures the a content of the critical cluster dramatically decreases with pressure contrary to expectations based on classical nucleation theory. We show that this phenomenon is a manifestation of the dominant role of the unlike interactions at high pressures resulting in the negative partial molar volume of component a in the vapor phase beyond the compensation pressure. The analysis is based on the pressure nucleation theorem for multicomponent systems which is invariant to a nucleation model.     

Activated scaling of classical and quantum spin glasses

A model for thermally activated dynamics in disordered systems shows that the linear and nonlinear susceptibility follows a generic exponential form with a "critical rounding," chi(1) proportional to chi(3) proportional to [T ln(t/tau(0)')/K](gamma/b phi) exp - [Tt(g)(phi b)ln(t/tau(0)'/K)](nu/b) (T=temperature, t=time, K=barrier constant, t(g) = 1 - T(SG)/T, and T(SG) = transition temperature; gamma>0 for chi(3) and <0 for chi(1)). This model, also valid in the presence of resonant tunneling states at energies K(0) < K [provided that K is replaced by K(0)+2T ln (1/Gamma(0)), where Gamma(0)(2) proportional, variant tunnel splitting of a spin S=1], is potentially applicable to a wide variety of systems opening the way for the study of thermally activated quantum phase transitions. The famous spin-glass system LiHo(x)Y(1-x) seems to follow this model.     

Construction of a unitary analytic scattering amplitude (I). Scalar particles

By imposing cos θ analyticity, we extend earlier investigations into the problem of constructing a unitary scattering amplitude from experimental measurements. The new approach is superior to earlier work, inasmuch as (a) the partial waves fall off exponentially, (b) we can handle cross sections with zeros, (c) we have a convergent Newton-Kantorovich interaction even when the fixed-point theorems do not apply, (d) we can study bifurcation points, (e) in the inelastic region, we find that analyticity does not remove the continuum ambiguity, (f) for quasi-elastic reactions (e.g. photoproduction) we resolve the Watson ambiguity for the phase shifts. We work at fixed energy, and throughout this first paper we neglect spin and isospin.     

Relaxation of fermionic excitations in a strongly attractive Fermi gas in an optical lattice

We theoretically study the relaxation of high energy single particle excitations into molecules in a system of attractive fermions in an optical lattice, both in the superfluid and the normal phase. In a system characterized by an interaction scale U and a tunneling rate t, we show that the relaxation rate scales as ～Ctexp[-αU(2)/t(2)ln(U/t)] in the large U/t limit. We obtain explicit expressions for the temperature and density dependent exponent α, both in the low temperature superfluid phase and the high temperature phase with pairing but no coherence between the molecules. We find that the relaxation rate decreases both with temperature and deviation of the fermion density from half filling. We show that quasiparticle and phase degrees of freedom are effectively decoupled within experimental time scales allowing for observation of ordered states even at high total energy of the system.     

Persistent supersolid phase of hard-core bosons on the triangular lattice

We study hard-core bosons with unfrustrated hopping (t) and nearest neighbor repulsion (U) (spin S=1/2 XXZ model) on the triangular lattice. At half filling, the system undergoes a zero temperature (T) quantum phase transition from a superfluid phase at small U to a supersolid at Uc approximately 4.45 in units of 2t. This supersolid phase breaks the lattice translation symmetry in a characteristic sqrt[3] x square root of 3 pattern, and is remarkably stable--indeed, a smooth extrapolation of our results indicates that the supersolid phase persists for arbitrarily large U/t.     

Production of the neutral top-pion πt0 in association with a high-pw jet al the LHC

In the framework of the topcolor-assisted technicolor (TC2) model, we study the production of the neutral top-pion πt0 in association with a high-pT jet al the LHC, which proceeds via the partonic processes gg→πt0g, gq→πt0q, qq→πt0g, gb(b)→πt0b(b), and bb→πt0g. We find that it is very challenging to detect the neutral top-pion πt0 via the process pp→πt0 +jet-t-X→tt +jet + X, while the possible signatures of πt0 might be detected via the process pp→πt0 +jet+X→(tc+tc)+jet+X at the LHC.     

Critical exponents for numbers of differently anchored polymer chains on fractal lattices with adsorbing boundaries

We study the problem of polymer adsorption in a good solvent when the container of the polymer-solvent system is taken to be a member of the Sierpinski gasket (SG) family of fractals. Members of the SG family are enumerated by an integerb (2b), and it is assumed that one side of each SG fractal is an impenetrable adsorbing boundary. We calculate the critical exponents ₁, ₁₁, and _s , which, within the self-avoiding walk model (SAW) of the polymer chain, are associated with the numbers of all possible SAWs with one, both, and no ends anchored to the adsorbing impenetrable boundary, respectively. By applying the exact renormalization group (RG) method for 2b8 and the Monte Carlo renormalization group (MCRG) method for a sequence of fractals with 2b80, we obtain specific values for these exponents. The obtained results show that all three critical exponents ₁, ₁₁, and _s , in both the bulk phase and crossover region are monotonically increasing functions withb. We discuss their mutual relations, their relations with other critical exponents pertinent to SAWs on the SG fractals, and their possible asymptotic behavior in the limitb, when the fractal dimension of the SG fractals approaches the Euclidean value 2.     

Phase separation in a polarized Fermi gas at zero temperature

We investigate the phase diagram of asymmetric two-component Fermi gases at zero temperature as a function of polarization and interaction strength. The equations of state of the uniform superfluid and normal phase are determined using quantum Monte Carlo simulations. We find three different mixed states, where the superfluid and the normal phase coexist in equilibrium, corresponding to phase separation between (a) the polarized superfluid and the fully polarized normal gas, (b) the polarized superfluid and the partially polarized normal gas, and (c) the unpolarized superfluid and the partially polarized normal gas.     

Magnetic field induced dehybridization of the electromagnons in multiferroic TbMnO₃

We have studied the impact of the magnetic field on the electromagnon excitations in TbMnO? crystal. Applying a magnetic field along the c axis, we show that the electromagnons transform into pure antiferromagnetic modes, losing their polar character. Entering in the paraelectric phase, we are able to track the spectral weight transfer from the electromagnons to the magnon excitations and we discuss the magnetic excitations underlying the electromagnons. We also point out the phonons involved in the phase transition process. This reveals that the Mn-O distance plays a key role in understanding the ferroelectricity and the polar character of the electromagnons. Magnetic field measurements along the b axis allow us to detect a new electromagnon resonance in agreement with a Heisenberg model.     

Self-organized and driven phase synchronization in coupled maps

We study the phase synchronization and cluster formation in coupled maps on different networks. We identify two different mechanisms of cluster formation: (a) self-organized phase synchronization which leads to clusters with dominant intracluster couplings and (b) driven phase synchronization which leads to clusters with dominant intercluster couplings. In the novel driven synchronization the nodes of one cluster are driven by those of the others. We also discuss the dynamical origin of these two mechanisms for small networks with two and three nodes.     

Coarsening in the presence of kinetic disorders: analogy to granular compaction

We study the zero temperature dynamics in an Ising chain in the presence of a dynamically induced field that favors locally the " -" phase compared to the " +" phase. At late times, while the " +" domains coarsen as t(1/2), the " -" domains coarsen as t(1/2)log(t). Hence, at late times, the magnetization decays slowly as m(t) = -1+const/log(t). We establish this behavior both analytically within an independent interval approximation and numerically. Our model can be viewed as a simple model for granular compaction, where the system decays into a fully compact state (with all spins " -") in a slow logarithmic manner as seen in recent experiments on granular systems.     

Using NMR displacement imaging to characterize electroosmotic flow in porous media.

Pulsed field gradient nuclear magnetic resonance (PFG-NMR) and NMR imaging were used to study temporal and spatial domains of an electrokinetically-driven mobile phase through open and packed segments of capillaries. Characteristics like velocity distribution and an asymptotic dispersion are contrasted to viscous flow behavior. We show that electroosmotic flow in microchannel geometries can offer a significant performance advantage over the pressure-driven flows at comparable Peclét numbers, indicating that velocity extremes in the pore space of open tubes and packed beds are drastically reduced. An inherent problem of capillary electrochromatography that we finally address is the existence of wall effects when in the general case the surface zeta-potentials of the capillary inner wall and the adsorbent particles are different. Using dynamic NMR microscopy we were able resolve this systematic velocity inequality of the flow pattern which strongly influences axial dispersion and may be responsible for long time-tails of velocity distribution in the mobile phase.