Phase separation in suspensions of colloids, polymers and nanoparticles: Role of solvent quality, physical mesh, and nonlocal entropic repulsion

Analytic and numerical microscopic integral equation theory for polymer particle suspensions is employed to investigate the dependence of fluid fluid phase separation on size asymmetry, solvent quality, and higher order polymer polymer interactions. For athermal good solvents, our prior novel prediction of enhanced miscibility with increasing (decreasing) polymer (particle) size is found not to be fundamentally tied to physical mesh formation or strong polymer-induced colloid clustering. Rather, the key is a proper treatment of the polymer second virial coefficient, which is sensitive to how chains organize in the empty space between particles. The origin of the qualitative error made by classic mean-field theories for the shifting of phase boundaries with size asymmetry is established. The phase separation behavior predicted by integral equation theory for ideal polymers is completely different than the athermal case for all size asymmetries and particle volume fractions, thereby establishing the remarkably large consequences of polymer polymer repulsions. For large polymers or small nanoparticles under ideal solvent conditions, the suspension miscibility worsens with increasing size asymmetry, opposite to the athermal solvent behavior. However, over a significant range of intermediate size asymmetries the spinodal curves are either nearly constant, or display a nonmonotonic shifting, as size asymmetry is varied. Higher order contributions in polymer concentration modestly stabilize the miscible phase in both athermal and ideal solvents

Inter-molecular structure factors of macromolecules in solution: integral equation results

The inter-molecular structure of semidilute polymer solutions is studied theoretically. The low density limit of a generalized Ornstein-Zernicke integral equation approach to polymeric liquids is considered. Scaling laws for the dilute-to-semidilute crossover of random phase (RPA) like structure are derived for the inter-molecular structure factor on large distances when inter-molecular excluded volume is incorporated at the microscopic level. This leads to a non-linear equation for the excluded volume interaction parameter. For macromolecular size-mass scaling exponents, $\nu$, above a spatial-dimension dependent value, $\nu_c=2/d$, mean field like density scaling is recovered, but for $\nu<\nu_c$ the density scaling becomes non-trivial in agreement with field theoretic results and justifying phenomenological extensions of RPA. The structure of the polymer mesh in semidilute solutions is discussed in detail and comparisons with large scale Monte Carlo simulations are added. Finally a new possibility to determine the correction to scaling exponent $\omega_{12}$ is suggested.Comment: 11 pages, 5 figures; to be published in Phys. Rev. E (1999

Phase-resolved far-ultraviolet HST spectroscopy of the peculiar magnetic white dwarf RE J0317-853

We present phase resolved FUV HST FOS spectra of the rapidly rotating, highly magnetic white dwarf RE J0317-853. Using these data, we construct a new model for the magnetic field morphology across the stellar surface. From an expansion into spherical harmonics, we find the range of magnetic field strengths present is 180-800MG. For the first time we could identify an absorption feature present at certain phases at 1160A as a ``forbidden'' 1s_0 -> 2s_0 component, due to the combined presence of an electric and magnetic field.Comment: 15 pages including 4 figures. Accepted for publication in ApJ Letter

Chiral fermions and anomaly cancellation on orbifolds with Wilson lines and flux

We consider six-dimensional supergravity compactified on orbifolds with Wilson lines and bulk flux. Torus Wilson lines are decomposed into Wilson lines around the orbifold fixed points, and twisted boundary conditions of matter fields are related to fractional localized flux. Both, orbifold singularities and flux lead to chiral fermions in four dimensions. We show that in addition to the standard bulk and fixed point anomalies the Green-Schwarz term also cancels the four-dimensional anomaly induced by the flux background. The two axions contained in the antisymmetric tensor field both contribute to the cancellation of the four-dimensional anomaly and the generation of a vector boson mass via the Stueckelberg mechanism. An orthogonal linear combination of the axions remains massless and couples to the gauge field in the standard way. Furthermore, we construct convenient expressions for the wave functions of the zero modes and relate their multiplicity and behavior at the fixed points to the bulk flux quanta and the Wilson lines.Comment: 30 pages, 4 figures, 1 table, clarifying remarks adde

Structure of Colloid-Polymer Suspensions

We discuss structural correlations in mixtures of free polymer and colloidal particles based on a microscopic, 2-component liquid state integral equation theory. Whereas in the case of polymers much smaller than the spherical particles the relevant polymer degree of freedom is the center of mass, for polymers larger than the (nano-) particles conformational rearrangements need to be considered. They have the important consequence that the polymer depletion layer exhibits two widely different length scales, one of the order of the particle radius, the other of the order of the polymer radius or the polymer density screening length in dilute or semidilute concentrations, respectively. Their consequences on phase stability and structural correlations are discussed extensively.Comment: 37 pages, 17 figures; topical feature articl

Macromolecular theory of solvation and structure in mixtures of colloids and polymers

The structural and thermodynamic properties of mixtures of colloidal spheres and non-adsorbing polymer chains are studied within a novel general two-component macromolecular liquid state approach applicable for all size asymmetry ratios. The dilute limits, when one of the components is at infinite dilution but the other concentrated, are presented and compared to field theory and models which replace polymer coils with spheres. Whereas the derived analytical results compare well, qualitatively and quantitatively, with mean-field scaling laws where available, important differences from ``effective sphere'' approaches are found for large polymer sizes or semi-dilute concentrations.Comment: 23 pages, 10 figure

Finite size scaling for quantum criticality using the finite-element method

Finite size scaling for the Schr\"{o}dinger equation is a systematic approach to calculate the quantum critical parameters for a given Hamiltonian. This approach has been shown to give very accurate results for critical parameters by using a systematic expansion with global basis-type functions. Recently, the finite element method was shown to be a powerful numerical method for ab initio electronic structure calculations with a variable real-space resolution. In this work, we demonstrate how to obtain quantum critical parameters by combining the finite element method (FEM) with finite size scaling (FSS) using different ab initio approximations and exact formulations. The critical parameters could be atomic nuclear charges, internuclear distances, electron density, disorder, lattice structure, and external fields for stability of atomic, molecular systems and quantum phase transitions of extended systems. To illustrate the effectiveness of this approach we provide detailed calculations of applying FEM to approximate solutions for the two-electron atom with varying nuclear charge; these include Hartree-Fock, density functional theory under the local density approximation, and an "exact"' formulation using FEM. We then use the FSS approach to determine its critical nuclear charge for stability; here, the size of the system is related to the number of elements used in the calculations. Results prove to be in good agreement with previous Slater-basis set calculations and demonstrate that it is possible to combine finite size scaling with the finite-element method by using ab initio calculations to obtain quantum critical parameters. The combined approach provides a promising first-principles approach to describe quantum phase transitions for materials and extended systems.Comment: 15 pages, 19 figures, revision based on suggestions by referee, accepted in Phys. Rev.

La politique suisse de réduction des émissions de gaz à effet de serre : une analyse de la mise en oeuvre = Die Politik der Schweiz zur Reduktion der Treibhausgasemissionen : eine Vollzugsanalyse

Afin de se préparer à la seconde période de mise en oeuvre du protocole de Kyoto (2013-2020), la Confédération a mené une révision totale de la loi fédérale sur la réduction des émissions de CO2, entrée en vigueur au 1er janvier 2013. La Confédération a ainsi renforcé ses objectifs en matière de lutte contre le changement climatique et a introduit de nouveaux instruments d'intervention pour y parvenir. Depuis lors, la nécessité politique de réduire les émissions de gaz à effet de serre s'est encore accentuée. Lors de la COP21 en décembre 2015 à Paris, la Suisse s'est engagée à réduire ses émissions de gaz à effet de serre de 50 % par rapport à 1990 à l'horizon 2030. En outre, la stratégie énergétique 2050 ambitionne de ramener les émissions de CO2 par habitant dans une fourchette de 1 à 1,5 tonne d'ici à 2050, contre 5,3 tonnes par habitant à l'heure actuelle. Cette recherche mandatée par l'OFEV analyse l'impact de la politique climatique sur le comportement des acteurs économiques et leurs réactions face aux instruments publics introduits pour réduire les émissions de CO2. L'étude, réalisée au cours de l'année 2015, questionne la cohérence du dispositif institutionnel actuel ainsi que sa capacité à stimuler l'action des acteurs économiques en matière de réduction des émissions de CO2. Elle livre un diagnostic de l'efficacité, de l'effectivité et de la désirabilité de la politique publique menée par la Confédération