The analysis of structurally orthotropic shells by means of the compliance method Progress report, period ending 1 Jun. 1968

Linear shell theory elastic constant instability conditions for symmetrically loaded shells of revolutio

Comment on "Symmetries and Interaction Coefficients of Kelvin waves" [arXiv:1005.4575] by Lebedev and L'vov

We comment on the claim by Lebedev and L'vov [arXiv:1005.4575] that the symmetry with respect to a tilt of a quantized vortex line does not yet prohibit coupling between Kelvin waves and the large-scale slope of the line. Ironically, the counterexample of an effective scattering vertex in the local induction approximation (LIA) attempted by Lebedev and L'vov invalidates their logic all by itself being a notoriously known example of how symmetries impose stringent constraints on kelvon kinetics---not only the coupling in question but the kinetics in general are absent within LIA. We further explain that the mistake arises from confusing symmetry properties of a specific mathematical representation in terms of the canonical vortex position field w(z) = x(z) + iy(z), which explicitly breaks the tilt symmetry due to an arbitrary choice of the z-axis, with those of the real physical system recovered in final expressions.Comment: comment on arXiv:1005.4575, version accepted in JLTP with minimal changes: abstract adde

The analysis of structurally orthotropic shells by means of the compliance method

Structurally orthotropic shells analyzed by compliance metho

On role of symmetries in Kelvin wave turbulence

E.V. Kozik and B.V. Svistunov (KS) paper "Symmetries and Interaction Coefficients of Kelvin waves", arXiv:1006.1789v1, [cond-mat.other] 9 Jun 2010, contains a comment on paper "Symmetries and Interaction coefficients of Kelvin waves", V. V. Lebedev and V. S. L'vov, arXiv:1005.4575, 25 May 2010. It relies mainly on the KS text "Geometric Symmetries in Superfluid Vortex Dynamics}", arXiv:1006.0506v1 [cond-mat.other] 2 Jun 2010. The main claim of KS is that a symmetry argument prevents linear in wavenumber infrared asymptotics of the interaction vertex and thereby implies locality of the Kelvin wave spectrum previously obtained by these authors. In the present note we reply to their arguments. We conclude that there is neither proof of locality nor any refutation of the possibility of linear asymptotic behavior of interaction vertices in the texts of KS

Scale Separation Scheme for Simulating Superfluid Turbulence: Kelvin-Wave Cascade

A Kolmogorov-type cascade of Kelvin waves--the distortion waves on vortex lines--plays a key part in the relaxation of superfluid turbulence at low temperatures. We propose an efficient numeric scheme for simulating the Kelvin wave cascade on a single vortex line. The idea is likely to be generalizable for a full-scale simulation of different regimes of superfluid turbulence. With the new scheme, we are able to unambiguously resolve the cascade spectrum exponent, and thus to settle the controversy between recent simulations [1] and recently developed analytic theory [2]. [1] W.F. Vinen, M. Tsubota and A. Mitani, Phys. Rev. Lett. 91, 135301 (2003). [2] E.V. Kozik and B.V. Svistunov, Phys. Rev. Lett. 92, 035301 (2004).Comment: 4 pages, RevTe

Geometric Symmetries in Superfluid Vortex Dynamics

Dynamics of quantized vortex lines in a superfluid feature symmetries associated with the geometric character of the complex-valued field, $w(z)=x(z)+iy(z)$, describing the instant shape of the line. Along with a natural set of Noether's constants of motion, which---apart from their rather specific expressions in terms of $w(z)$---are nothing but components of the total linear and angular momenta of the fluid, the geometric symmetry brings about crucial consequences for kinetics of distortion waves on the vortex lines---the Kelvin waves. It is the geometric symmetry that renders Kelvin-wave cascade local in the wavenumber space. Similar considerations apply to other systems with purely geometric degrees of freedom.Comment: 4 REVTeX pages, minor stylistic changes, references to recent related preprints adde

The Impact of Host Variables and Tumor Necrosis Factor on the Gut Microbiome in a Mouse Model of Crohn\u27s Disease

Crohn’s Disease (CD) and Ulcerative Colitis (UC) are chronic, inflammatory conditions of the digestive tract that are collectively known as Inflammatory Bowel Disease (IBD). Currently, IBD has no cure and the exact mechanisms of disease development and progression are unknown. The gut microbiome is the collection of microbes that reside in the digestive tracts of humans and animals, and it has been shown to be associated with a variety of diseases, including IBD. Mouse models of colitis are often used to investigate the role of the gut microbiome in IBD. In this work, I investigated the role of tumor necrosis factor (TNF) on the gut microbiome in a mouse model of CD. Tumor necrosis factor is an inflammatory cytokine that plays a critical role in the inflammatory response. A common IBD treatment strategy is the use of TNF inhibitors. However, a subset of patients only responds to anti-TNF treatment for a limited time, while others do not respond at all. It is not fully understood how TNF, or TNF blockade, impacts the microbiome. Therefore, my overall objective was to determine how TNF and host variables impact the mouse gut microbiome during colitis. My hypotheses were that 1) Age, sex, and TNF affect the fecal microbiome of mice, and impact the severity of acute 2,4,6 trinitrobenzenesulfonic acid (TNBS) colitis. 2) TNF, sex and disease severity impact the microbiome in chronic TNBS colitis and the composition of the fecal microbiome will closely correlate with colitis severity. 3) Different mouse strains have a distinct fecal microbiome. To test my hypotheses, I induced acute and chronic TNBS colitis in WT mice and Tnf-/-mice. 16S rRNA gene sequencing, microbiome analysis, and multivariate analyses were used to determine the relationship of host factors to the gut microbiome. I found that TNF, age, and sex impact the gut microbiome in mice before and after colitis. Additionally, I identified specific microbes that are differentially abundant depending on TNF expression, GI site, as well as the mouse age, sex, strain, and vendor. This work highlights the importance of considering host factors in microbiome studies and provides important data to the literature concerning the role of the gut microbiome in IBD pathogenesis

Symmetries and Interaction coefficients of Kelvin waves

We considered symmetry restriction on the interaction coefficients of Kelvin waves and demonstrated that linear in small wave vector asymptotic is not forbidden, as one can expect by naive reasoning.Comment: 4 pages, submitted to J. of Low Temp. Phy

Foundations of linear inelastic shell theory progress report

Foundations of linear inelastic thin shell theor

Scanning Superfluid-Turbulence Cascade by Its Low-Temperature Cutoff

On the basis of recently proposed scenario of the transformation of the Kolmogorov cascade into the Kelvin-wave cascade, we develop a theory of low-temperature cutoff. The theory predicts a specific behavior of the quantized vortex line density, $L$, controlled by the frictional coefficient, $\alpha(T) \ll 1$, responsible for the cutoff. The curve $\ln L(\ln \alpha)$ is found to directly reflect the structure of the cascade, revealing four qualitatively distinct wavenumber regions. Excellent agreement with recent experiment by Walmsley {\it et al.} [arXiv:0710.1033]--in which $L(T)$ has been measured down to $T \sim 0.08$K--implies that the scenario of low-temperature superfluid turbulence is now experimentally validated, and allows to quantify the Kelvin-wave cascade spectrum.Comment: 4 pages, 2 figures, v2: extended introduction, the controversy with the scenario by L'vov et al. [13] is discussed in conclusio