Causality of black holes in 4-dimensional Einstein-Gauss-Bonnet-Maxwell theory

We study charged black hole solutions in 4-dimensional (4D) Einstein-Gauss-Bonnet-Maxwell theory to the linearized perturbation level. We first compute the shear viscosity to entropy density ratio. We then demonstrate how bulk causal structure analysis imposes a upper bound on the Gauss-Bonnet coupling constant in the AdS space. Causality constrains the value of Gauss-Bonnet coupling constant $\alpha_{GB}$ to be bounded by $\alpha_{GB}\leq 0$ as $D\rightarrow 4$.Comment: 13 pages, minor revision, references adde

Anisotropic plasma with a chemical potential and scheme-independent instabilities

Generically, the black brane solution with planar horizons is thermodynamically stable. We find a counter-example to this statement by demonstrating that an anisotropic black brane is unstable. We present a charged black brane solution dual to a spatially anisotropic finite temperature $\mathcal{N}=4$ super Yang-Mills plasma at finite $U(1)$ chemical potential. This static and regular solution is obtained both numerically and analytically. We uncover rich thermodynamic phase structures for this system by considering the cases when the anisotropy constant "a" takes real and imaginary values, respectively. In the case $a^2>0$, the phase structure of this anisotropic black brane is similar to that of Schwarzschild-AdS black hole with $S^3$ horizon topology, yielding a thermodynamical instability at smaller horizon radii. For the condition $a^2\leq 0$, the thermodynamics is dominated by the black brane phase for all temperatures.Comment: 14pages,14figures, minor changes, PLB in pres

Variable bandwidth kernel regression estimation

In this paper we propose a variable bandwidth kernel regression estimator for $i.i.d.$ observations in $\mathbb{R}^2$ to improve the classical Nadaraya-Watson estimator. The bias is improved to the order of $O(h_n^4)$ under the condition that the fifth order derivative of the density function and the sixth order derivative of the regression function are bounded and continuous. We also establish the central limit theorems for the proposed ideal and true variable kernel regression estimators. The simulation study confirms our results and demonstrates the advantage of the variable bandwidth kernel method over the classical kernel method.Comment: accepted by ESAIM: PS. 36 pages, 3 figure

Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation

We show that there exists a class of charged BTZ-like black hole solutions in Lifshitz spacetime with a hyperscaling violating factor. The charged BTZ is characterized by a charge-dependent logarithmic term in the metric function. As concrete examples, we give five such charged BTZ-like black hole solutions and the standard charged BTZ metric can be regarded as a special instance of them. In order to check the recent proposed universal relations between diffusivity and the butterfly velocity, we first compute the diffusion constants of the standard charged BTZ black holes and then extend our calculation to arbitrary dimension $d$, exponents $z$ and $\theta$. Remarkably, the case $d=\theta$ and $z=2$ is a very special in that the charge diffusion $D_c$ is a constant and the energy diffusion $D_e$ might be ill-defined, but $v^2_B\tau$ diverges. We also compute the diffusion constants for the case that the DC conductivity is finite but in the absence of momentum relaxation.Comment: 30 pages, 2 figure

A Non-linearity Correction Method for Fast Digital Multi-Channel Analyzers

AbstractFast digital multi-channel analyzers (FDMCA) which based on flash ADCs have been intensively used recently. The FDMCA is different from traditional MCAs which based on Wilkinson ADCs. The non-linearity, including the integral non-linearity (INL) and differential non-linearity (DNL), mainly arising from flash ADCs, degrade the accuracy of fast digital MCAs. To improve the non-linearity of FDMCA, a practical off-line correction method has been proposed in this paper. The non-linearity features of the FDMCA system is obtained by a special measurement previously. In light of that the non-linearity of a system is inherent; the non-linearity can be eliminated by comparing the data between the general measurement and the special one

Additional Listing Options on ebay: Are They Worth The Money

eBay is by far the world’s largest online auction site. Millions of people are doing transactions through it. eBay offers the sellers several additional listing options (“ALO” for short) at certain prices for them to enhance the visibility or attractiveness of their auction listings. In this paper we tried to find out how much these ALO can help to improve the outcome of an online auction, focusing mainly on the multiunit auctions of a certain brand of diet pill. The 116 data records were collected within a period of one month from the eBay’s “Diet and Weight loss” sub-category. In general, our idea can be applied to any other specific good sold on eBay. Our results provide important implications to eBay sellers in terms of deciding which ALO to use when listing his particular item for sale on eBay. Based on our findings, eBay or any auction sites could also apply our approach to estimate the optimal level of pricing of these ALO through computing the average value of the ALO for all transactions

The black hole to black hole phase transition probed by the D3-D7 model fermionic spectral functions

We consider the D3-D7 model and analyze the phase transition from the black-hole phase to another black-hole phase using the spectral function of a probe fermion on D7 in the presence of the finite density and temperature. From the fermionic spectral functions, we study the temperature dependence of the decay rate and we observe a jump in it at the critical temperature that corresponds to the first order phase transition. We found that if we assume that the Drude model works in this case so that the resistivity is proportional to the fermion decay rate, the jump matches the resistivity data in a heavy fermion material.Comment: 21 pages, 6 figure