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2025-10-08 00:00:00
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1406.4031
John ZuHone
J. A. ZuHone (NASA/GSFC, U. Maryland), M. W. Kunz (Princeton), M. Markevitch (NASA/GSFC), J. M. Stone (Princeton), V. Biffi (SISSA)
The Effect of Anisotropic Viscosity on Cold Fronts in Galaxy Clusters
v1: 20 pages, 16 figures, submitted to the Astrophysical Journal. v2: fixed some typos. v3: version accepted by referee, 21 pages, 18 figures
null
10.1088/0004-637X/798/2/90
null
astro-ph.CO astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Cold fronts -- contact discontinuities in the intracluster medium (ICM) of galaxy clusters -- should be disrupted by Kelvin-Helmholtz (K-H) instabilities due to the associated shear velocity. However, many observed cold fronts appear stable. This opens the possibility to place constraints on microphysical mechanisms that stabilize them, such as the ICM viscosity and/or magnetic fields. We performed exploratory high-resolution simulations of cold fronts arising from subsonic gas sloshing in cluster cores using the grid-based Athena MHD code, comparing the effects of isotropic Spitzer and anisotropic Braginskii viscosity (expected in a magnetized plasma). Magnetized simulations with full Braginskii viscosity or isotropic Spitzer viscosity reduced by a factor f ~ 0.1 are both in qualitative agreement with observations in terms of suppressing K-H instabilities. The RMS velocity of turbulence within the sloshing region is only modestly reduced by Braginskii viscosity. We also performed unmagnetized simulations with and without viscosity and find that magnetic fields have a substantial effect on the appearance of the cold fronts, even if the initial field is weak and the viscosity is the same. This suggests that determining the dominant suppression mechanism of a given cold front from X-ray observations (e.g. viscosity or magnetic fields) by comparison with simulations is not straightforward. Finally, we performed simulations including anisotropic thermal conduction, and find that including Braginskii viscosity in these simulations does not significant affect the evolution of cold fronts; they are rapidly smeared out by thermal conduction, as in the inviscid case.
[ { "version": "v1", "created": "Mon, 16 Jun 2014 14:32:55 GMT" }, { "version": "v2", "created": "Tue, 17 Jun 2014 13:15:02 GMT" }, { "version": "v3", "created": "Fri, 2 Jan 2015 22:14:42 GMT" } ]
2015-06-22T00:00:00
[ [ "ZuHone", "J. A.", "", "NASA/GSFC, U. Maryland" ], [ "Kunz", "M. W.", "", "Princeton" ], [ "Markevitch", "M.", "", "NASA/GSFC" ], [ "Stone", "J. M.", "", "Princeton" ], [ "Biffi", "V.", "", "SISSA" ] ]
[ 0.05063373222947121, 0.7731376886367798, 0.36385512351989746, 0.2687605321407318, 0.17402464151382446, 0.3728005588054657, -0.25930485129356384, -0.45345035195350647, -0.7185103297233582, 1.4370883703231812, -0.21542266011238098, 0.40953439474105835, 0.36019060015678406, -1.463034987449646...
hep-th/0502135
Eugeny Babichev
E. Babichev and M. Kachelriess
Constraining cosmic superstrings with dilaton emission
10 pages, 3 figures; v2: Fig 1 is corrected
Phys.Lett. B614 (2005) 1-6
10.1016/j.physletb.2005.03.053
MPP-2005-11
hep-th astro-ph
null
Brane inflation predicts the production of cosmic superstrings with tension 10^{-12}<G\mu<10^{-7}. Superstring theory predicts also the existence of a dilaton with a mass that is at most of the order of the gravitino mass. We show that the emission of dilatons imposes severe constraints on the allowed evolution of a cosmic superstring network. In particular, the detection of gravitational wave burst from cosmic superstrings by LIGO is only possible if the typical length of string loops is much smaller than usually assumed.
[ { "version": "v1", "created": "Tue, 15 Feb 2005 13:06:49 GMT" }, { "version": "v2", "created": "Fri, 6 May 2005 15:28:54 GMT" } ]
2009-11-11T00:00:00
[ [ "Babichev", "E.", "" ], [ "Kachelriess", "M.", "" ] ]
[ 0.017591338604688644, 0.5194905400276184, 0.1187666803598404, 0.22069598734378815, 0.030957818031311035, -0.06627986580133438, -0.5818605422973633, -0.314287930727005, -0.2788306176662445, 1.2162905931472778, 0.715506374835968, -0.4696340560913086, 0.01868201233446598, -0.5993373990058899,...
1410.7099
Valery A. Lunts
Michael Larsen and Valery A. Lunts
Rationality of motivic zeta function and cut-and-paste problem
Comments and welcome
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Assuming the positive solution to the Cut-and-paste problem we prove that the motivic zeta function remains irrational after inverting L.
[ { "version": "v1", "created": "Sun, 26 Oct 2014 23:51:08 GMT" } ]
2014-10-28T00:00:00
[ [ "Larsen", "Michael", "" ], [ "Lunts", "Valery A.", "" ] ]
[ -0.08941242843866348, -0.14187252521514893, 0.1205560714006424, -0.13542914390563965, -0.24502742290496826, -0.5071630477905273, 0.14165917038917542, 0.3501659631729126, -0.3673376441001892, 0.6034976840019226, 0.7034836411476135, 0.36299994587898254, -0.11105001717805862, -0.1092810705304...
1403.4348
Mathieu Huruguen
Mathieu Huruguen (UBC)
Special reductive groups over an arbitrary field
21 pages. Comments welcome
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A linear algebraic group G defined over a field k is called special if every G-torsor over every field extension of k is trivial. In 1958 Grothendieck classified special groups in the case where the base field is algebraically closed. In this paper we describe the derived subgroup and the coradical of a special reductive group over an arbitrary field k. We also classify special semisimple groups, special reductive groups of inner type and special quasisplit reductive groups over an arbitrary field k.
[ { "version": "v1", "created": "Tue, 18 Mar 2014 05:27:55 GMT" } ]
2014-03-19T00:00:00
[ [ "Huruguen", "Mathieu", "", "UBC" ] ]
[ -0.40063655376434326, -0.1825607419013977, 0.1951315850019455, -0.5764011144638062, 0.38285452127456665, -0.024485934525728226, -0.1867503672838211, -0.0465875081717968, -1.0058684349060059, 0.766144871711731, 0.6608047485351562, 0.3743205964565277, 0.07131081074476242, -0.2716599404811859...
2311.03878
Andrej Vilfan
Abdallah Daddi-Moussa-Ider, Ramin Golestanian and Andrej Vilfan
Hydrodynamic efficiency limit on a Marangoni surfer
17 pages, 5 figures
J. Fluid Mech. 986 (2024) A32
10.1017/jfm.2024.363
null
physics.flu-dyn cond-mat.soft
http://creativecommons.org/licenses/by/4.0/
A Marangoni surfer is an object embedded in a gas-liquid interface, propelled by gradients in surface tension. We derive an analytical theorem for the lower bound on the viscous dissipation by a Marangoni surfer in the limit of small Reynolds and capillary numbers. The minimum dissipation can be expressed with the reciprocal difference between drag coefficients of two passive bodies of the same shape as the Marangoni surfer, one in a force-free interface and the other in an interface with surface incompressibility. The distribution of surface tension that gives the optimal propulsion is given by the surface tension of the solution for the incompressible surface and the flow is a superposition of both solutions. For a surfer taking the form of a thin circular disk, the minimum dissipation is $16\mu a V^2$, giving a Lighthill efficiency of $1/3$. This places the Marangoni surfers among the hydrodynamically most efficient microswimmers.
[ { "version": "v1", "created": "Tue, 7 Nov 2023 10:51:26 GMT" }, { "version": "v2", "created": "Tue, 13 Feb 2024 12:25:06 GMT" } ]
2024-05-15T00:00:00
[ [ "Daddi-Moussa-Ider", "Abdallah", "" ], [ "Golestanian", "Ramin", "" ], [ "Vilfan", "Andrej", "" ] ]
[ 0.0007983006653375924, 0.7216638326644897, 0.4743877351284027, -0.12439768761396408, 0.6179934740066528, 0.30079466104507446, -0.14166104793548584, -0.25131484866142273, 0.18604806065559387, 1.1251379251480103, 0.36300212144851685, -0.10157109797000885, -0.14706279337406158, 0.061985436826...
cond-mat/0512286
Masayuki Hase Oka
M. O. Hase and S. R. Salinas
Dynamics of a mean spherical model with competing interactions
null
J. Phys. A 39, 4875 (2006)
10.1088/0305-4470/39/18/007
null
cond-mat.soft
null
The Langevin dynamics of a $d$-dimensional mean spherical model with competing interactions along $m\leq d$ directions of a hypercubic lattice is analysed. After a quench at high temperatures, the dynamical behaviour is characterized by two distinct time scales associated with stationary and aging regimes. The asymptotic expressions for the autocorrelation and response functions, in supercritical, critical, and subcritical cases, were calculated. Aging effects, which are known to be present in the ferromagnetic version of this model system, are not affected by the introduction of competing interactions.
[ { "version": "v1", "created": "Tue, 13 Dec 2005 22:19:24 GMT" }, { "version": "v2", "created": "Fri, 24 Mar 2006 16:00:52 GMT" }, { "version": "v3", "created": "Thu, 20 Apr 2006 18:19:43 GMT" } ]
2009-11-11T00:00:00
[ [ "Hase", "M. O.", "" ], [ "Salinas", "S. R.", "" ] ]
[ 0.1598203182220459, 0.06561078131198883, 0.5516332983970642, 0.9878893494606018, -0.16542519629001617, 0.0050888098776340485, -0.0984777957201004, -0.5160592794418335, -0.16074100136756897, 1.0563775300979614, 0.6202998161315918, 0.07099148631095886, 0.3396316468715668, -0.6684819459915161...
2404.01213
Weijun Zhang
Jing Gao and Weijun Zhang and Zhitao Zhang
Bifurcation on Fully Nonlinear Elliptic Equations and Systems
comments are welcome!
null
null
null
math.AP math.FA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we study the following fully nonlinear elliptic equations \begin{equation*} \left\{\begin{array}{rl} \left(S_{k}(D^{2}u)\right)^{\frac1k}=\lambda f(-u) & in\quad\Omega \\ u=0 & on\quad \partial\Omega\\ \end{array} \right. \end{equation*} and coupled systems \begin{equation*} \left\{\begin{array}{rl} (S_{k}(D^{2}u))^\frac1k=\lambda g(-u,-v) & in\quad\Omega \\ (S_{k}(D^{2}v))^\frac1k=\lambda h(-u,-v) & in\quad\Omega \\ u=v=0 & on\quad \partial\Omega\\ \end{array} \right. \end{equation*} dominated by $k$-Hessian operators, where $\Omega$ is a $(k$-$1)$-convex bounded domain in $\mathbb{R}^{N}$, $\lambda$ is a non-negative parameter, $f:\left[0,+\infty\right)\rightarrow\left[0,+\infty\right)$ is a continuous function with zeros only at $0$ and $g,h:\left[0,+\infty\right)\times \left[0,+\infty\right)\rightarrow \left[0,+\infty\right)$ are continuous functions with zeros only at $(\cdot,0)$ and $(0,\cdot)$. We determine the interval of $\lambda$ about the existence, non-existence, uniqueness and multiplicity of $k$-convex solutions to the above problems according to various cases of $f,g,h$, which is a complete supplement to the known results in previous literature. In particular, the above results are also new for Laplacian and Monge-Amp\`ere operators. We mainly use bifurcation theory, a-priori estimates, various maximum principles and technical strategies in the proof.
[ { "version": "v1", "created": "Mon, 1 Apr 2024 16:12:56 GMT" } ]
2024-04-02T00:00:00
[ [ "Gao", "Jing", "" ], [ "Zhang", "Weijun", "" ], [ "Zhang", "Zhitao", "" ] ]
[ 0.3141026496887207, 1.2564321756362915, 0.42219606041908264, 0.2692869305610657, 0.5304092764854431, -0.054818447679281235, -0.6157596707344055, 0.18535000085830688, -0.3160598874092102, 1.4664987325668335, 0.6495243906974792, 0.6584003567695618, 0.1318337768316269, -0.40190285444259644, ...
1410.7453
Cody Hyndman
Cody B. Hyndman and Menachem Wenger
GMWB Riders in a Binomial Framework - Pricing, Hedging, and Diversification of Mortality Risk
41 pages, 11 figures; This paper combines a previous version titled "Pricing and Hedging GMWB Riders in a Binomial Framework" (arXiv:1410.7453v1) and the working paper titled "Diversification of mortality risk in GMWB rider pricing and hedging"
null
null
null
q-fin.PR q-fin.CP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct a binomial model for a guaranteed minimum withdrawal benefit (GMWB) rider to a variable annuity (VA) under optimal policyholder behaviour. The binomial model results in explicitly formulated perfect hedging strategies funded using only periodic fee income. We consider the separate perspectives of the insurer and policyholder and introduce a unifying relationship. Decompositions of the VA and GMWB contract into term-certain payments and options representing the guarantee and early surrender features are extended to the binomial framework. We incorporate an approximation algorithm for Asian options that significantly improves efficiency of the binomial model while retaining accuracy. Several numerical examples are provided which illustrate both the accuracy and the tractability of the binomial model. We extend the binomial model to include policy holder mortality and death benefits. Pricing, hedging, and the decompositions of the contract are extended to incorporate mortality risk. We prove limiting results for the hedging strategies and demonstrate mortality risk diversification. Numerical examples are provided which illustrate the effectiveness of hedging and the diversification of mortality risk under capacity constraints with finite pools.
[ { "version": "v1", "created": "Mon, 27 Oct 2014 22:42:48 GMT" }, { "version": "v2", "created": "Wed, 6 Jul 2016 16:30:53 GMT" } ]
2016-07-07T00:00:00
[ [ "Hyndman", "Cody B.", "" ], [ "Wenger", "Menachem", "" ] ]
[ 0.9055721759796143, 0.7465723752975464, 0.032342035323381424, 0.2988818287849426, 0.5417390465736389, -0.5963738560676575, 0.06720321625471115, 0.019874656572937965, 0.3874662220478058, 0.5839244723320007, 0.6627089977264404, 0.019864078611135483, -0.07058007270097733, -0.19207631051540375...
2207.05555
Changjian Fu
Changjian Fu, Shengfei Geng, Pin Liu
Exchange graphs of cluster algebras have the non-leaving-face property
null
Bulletin London Math. Soc. (2023), 55, 2062-2069
10.1112/blms.12836
null
math.RA math.CO
http://creativecommons.org/licenses/by-nc-nd/4.0/
The claim in the title is proved.
[ { "version": "v1", "created": "Sat, 9 Jul 2022 02:14:38 GMT" } ]
2024-02-15T00:00:00
[ [ "Fu", "Changjian", "" ], [ "Geng", "Shengfei", "" ], [ "Liu", "Pin", "" ] ]
[ -0.22580884397029877, 0.2567819654941559, 0.23341251909732819, 0.37145671248435974, 0.3987490236759186, 0.38988974690437317, -0.2252008020877838, -0.33072540163993835, 1.2619935274124146, 0.6438068747520447, 0.2876146733760834, -0.04953556880354881, 0.5980073809623718, 0.30112987756729126,...
1707.05340
Meng Wang
Meng Wang, Jiaheng Zhang, Jun Liu, Wei Hu, Sen Wang, Xue Li, Wenqiang Liu
"PDD Graph: Bridging Electronic Medical Records and Biomedical Knowledge\n Graphs via Entity Linkin(...TRUNCATED)
9 pages,5 figures,accepted by ISWC 2017
null
null
null
cs.DB cs.AI cs.IR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
" Electronic medical records contain multi-format electronic medical data that\nconsist of an abund(...TRUNCATED)
[{"version":"v1","created":"Mon, 17 Jul 2017 18:04:27 GMT"},{"version":"v2","created":"Mon, 24 Jul 2(...TRUNCATED)
2017-07-25T00:00:00
[["Wang","Meng",""],["Zhang","Jiaheng",""],["Liu","Jun",""],["Hu","Wei",""],["Wang","Sen",""],["Li",(...TRUNCATED)
[0.13316108286380768,-0.012788924388587475,-0.3342873156070709,0.6081944108009338,0.1068903952836990(...TRUNCATED)
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