5,751 research outputs found

    Sign switch of Gaussian bending modulus for microemulsions; a self-consistent field analysis exploring scale invariant curvature energies

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    Bending rigidities of tensionless balanced liquid-liquid interfaces as occurring in microemulsions are predicted using self-consistent field theory for molecularly inhomogeneous systems. Considering geometries with scale invariant curvature energies gives unambiguous bending rigidities for systems with fixed chemical potentials: The minimal surface Im3m cubic phase is used to find the Gaussian bending rigidity, κˉ\bar{\kappa}, and a torus with Willmore energy W=2π2W=2 \pi^2 allows for direct evaluation of the mean bending modulus, κ\kappa. Consistent with this, the spherical droplet gives access to 2κ+κˉ2 \kappa + \bar{\kappa}. We observe that κˉ\bar{\kappa} tends to be negative for strong segregation and positive for weak segregation; a finding which is instrumental for understanding phase transitions from a lamellar to a sponge-like microemulsion. Invariably, κ\kappa remains positive and increases with increasing strength of segregation.Comment: 7 pages, 5 figure

    Universal Dephasing Control During Quantum Computation

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    Dephasing is a ubiquitous phenomenon that leads to the loss of coherence in quantum systems and the corruption of quantum information. We present a universal dynamical control approach to combat dephasing during all stages of quantum computation, namely, storage, single- and two-qubit operators. We show that (a) tailoring multi-frequency gate pulses to the dephasing dynamics can increase fidelity; (b) cross-dephasing, introduced by entanglement, can be eliminated by appropriate control fields; (c) counter-intuitively and contrary to previous schemes, one can increase the gate duration, while simultaneously increasing the total gate fidelity.Comment: 4 pages,3 figure

    Chain motion and viscoelasticity in highly entangled solutions of semiflexible rods

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    Brownian dynamics simulations are used to study highly entangled solutions of semiflexible polymers. Bending fluctuations of semiflexible rods are signficantly affected by entanglement only above a concentration cc^{**}, where c103L3c^{**}\sim 10^{3}L^{-3} for chains of similar length LL and persistence length. For c>cc > c^{**}, the tube radius ReR_{e} approaches a dependence Rec3/5R_{e} \propto c^{-3/5}, and the linear viscoelastic response develops an elastic contribution that is absent for c<cc < c^{**}. Experiments on isotropic solutions of FF-actin span concentrations near cc^{**} for which the predicted asymptotic scaling of the plateau modulus Gc7/5G \propto c^{7/5} is not yet valid.Comment: 4 pages, 5 figures, submitted to PR

    Influence of analysis and design models on minimum weight design

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    The results of numerical experiments designed to illustrate how the minimum weight design, accuracy, and cost can be influenced by: (1) refinement of the finite element analysis model and associated load path problems, and (2) refinement of the design variable linking model are examined. The numerical experiments range from simple structures where the modelling decisions are relatively obvious and less costly to the more complex structures where such decisions are less obvious and more costly. All numerical experiments used employ the dual formulation in ACCESS-3 computer program. Guidelines are suggested for creating analysis and design models that predict a minimum weight structure with greater accuracy and less cost. These guidelines can be useful in an interactive optimization environment and in the design of heuristic rules for the development of knowledge-based expert optimization systems
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