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Davis, Philip J.; Derenzo, Stephen E.; Flatté, Stanley M.; Garnjost, Margaret A.; Lynch, G.; Solmitz, Frank T.

doi:10.1103/physrevlett.23.1071

Cited by 32 publications

(20 citation statements)

References 7 publications

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“…On substituting this in the expression (6.11) for the deviation of the stress momentum energy tensor from that of the particle current reference state, due to the vorticity dependent action contribution Λ´, we see that the asymptotic form of this deviation will be expressible in terms of the fundamental tangential and normal projection tensors associated with the flux 2-surfaces [20] [21] , as given respectively by 4) and (7.5) in the form 6) in which, relative to the particle current reference state, the relevant effective vorticity pressure Π´, acting transversely to the vortex flux lines, will be given by…”

Section: )mentioning

confidence: 99%

“…It was Lund and Regge [3] who first drew attention to the analogy between Kalb-Ramond coupled string motion in an axion field and vortex motion in an ordinary non relativistic superfluid. The immediate inspiration for the coherent relativistic theory presented here was provided by the more recent analysis of Davis and Shellard [4] [5] , and its modification to allow for more general kinds of field by Ben Ya'acov [6] [7] . The outcome effectively extends and completes the results of an earlier pionneering investigation using a different but ultimately related approach by Lebedev and Khalatnikov [8] .…”

Section: Introductionmentioning

confidence: 99%

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Kalb-Ramond coupled vortex fibration model for relativistic superfluid dynamics

1995

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The macroscopic dynamics of a rotating superfluid deviates from that of a simple perfect fluid due to the effect of vorticity quantisation, which gives rise to a substructure of cosmic string type line defects that results in a local anisotropy whereby the effective average pressure in the direction of the vortex lines is reduced below its value in lateral directions. Whereas previous descriptions of this effect have been restricted to a non-relativistic framework that is adequate for the treatment of liquid helium in a laboratory context, the present work provides a fully relativistic description of the kind required for application to rotating neutron star models. To start with, the general category of vortex fibration models needed for this purpose is set up on the basis of a Kalb-Ramond type variational principle. The appropriate specification of the particular model to be chosen within this category will ultimately be governed by the conclusions of microscopic investigations that have not yet been completed, but the results available so far suggest that a uniquely simple kind of model with an elegant dilatonic formulation should be tentatively adopted as a provisional choice so long as there is no indication that a more complicated alternative is needed.1

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Section: )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Kalb-Ramond coupled vortex fibration model for relativistic superfluid dynamics

1995

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“…[24][25][26][28][29][30] Different approaches exist for the development of polarizable models. [31] Normally, polarizable solvent must be combined with polarizable solute; thus, such models have also been developed for molecules resembling groups commonly found in biomolecules, such as alkanes [32] or amines. [33] Applications of polarizable force fields, so far, include ion hydration, [34,35] aqueous mixtures, [36,37] interfaces, [38] lipid bilayers, [39,40] and solvated proteins.…”

Section: Explicit Atomistic Solventmentioning

confidence: 99%

The Treatment of Solvent in Multiscale Biophysical Modeling

Lazaridis¹,

Versace²

2014

Israel Journal of Chemistry

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Different approaches for treating the solvent in biophysical simulations are reviewed. They include explicit atomistic (classical fixed‐charge, polarizable, or ab initio), explicit coarse‐grained (polarizable or not), and implicit approaches (dielectric‐based or empirical). The solvent is usually an aqueous electrolyte solution, but it can also be an aqueous mixture or heterogeneous, as in micelles and lipid bilayers. The treatment of the solvent is tied to that of the solute, with implicit solvation exhibiting the highest versatility. Applications of implicit and coarse‐grained solvent modeling include a wide range of biological processes, such as protein folding, ligand binding, lipid self‐assembly, and transmembrane translocation. The advantages and disadvantages of each approach are discussed and thoughts are offered on the optimal choice of method for different problems.

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“…is valid for superstring amplitudes [19]. The bounds obtained above depended essentially on the restriction of the integral over super-Schottky group parameter space to a single fundamental domain of the super-modular group.…”

Section: Estimates Of Moduli Space Integrals Corresponding To Closed mentioning

confidence: 99%

On the absence of large‐order divergences in superstring theory

Davis

2003

Fortschritte der Physik

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The genus‐dependence of multi‐loop superstring amplitudes is estimated at large orders in perturbation theory using the super‐Schottky group parameterization of supermoduli space. Restriction of the integration region to a subset of supermoduli space and a single fundamental domain of the super‐modular group suggests an exponential dependence on the genus. Upper bounds for these estimates are obtained for arbitrary N‐point superstring scattering amplitudes and are shown to be consistent with exact results obtained for special type II string amplitudes for orbifold or Calabi‐Yau compactifications. The genus‐dependence is then obtained by considering the effect of the remaining contribution to the superstring amplitudes after the coefficients of the formally divergent parts of the integrals vanish as a result of a sum over spin structures. The introduction of supersymmetry therefore leads to the elimination of large‐order divergences in string perturbation theory, a result which is based only on the supersymmetric generalization of the Polyakov measure and not the gauge group of the string model.

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Cited by 32 publications

References 7 publications

Kalb-Ramond coupled vortex fibration model for relativistic superfluid dynamics

Kalb-Ramond coupled vortex fibration model for relativistic superfluid dynamics

The Treatment of Solvent in Multiscale Biophysical Modeling

On the absence of large‐order divergences in superstring theory

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