Kai Lin - Institute of Astronomy and Astrophysics

Kai Lin
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Name
Kai Lin
Affiliation
Institute of Astronomy and Astrophysics
City
Beijing
Country
China

Pubs By Year

Pub Categories

 
General Relativity and Quantum Cosmology (25)
 
Cosmology and Nongalactic Astrophysics (22)
 
High Energy Physics - Theory (19)
 
High Energy Physics - Phenomenology (9)
 
Instrumentation and Methods for Astrophysics (6)
 
Physics - Physics and Society (2)
 
High Energy Astrophysical Phenomena (1)
 
Computer Science - Computer Vision and Pattern Recognition (1)
 
Solar and Stellar Astrophysics (1)
 
Physics - Superconductivity (1)
 
Astrophysics of Galaxies (1)
 
Physics - Strongly Correlated Electrons (1)
 
Mathematics - Numerical Analysis (1)

Publications Authored By Kai Lin

In this work, we investigate the $n$-dimensional charged static black hole solutions in the Einstein-{\AE}ther theory. By taking the metric parameter $k$ to be 1, 0, and -1, we study the spherical, planar, and hyperbolic spacetimes respectively. Three choices of the cosmological constant, $\Lambda>0$, $\Lambda=0$ and $\Lambda<0$, are investigated, which correspond to asymptotically de Sitter, flat and anti-de Sitter spacetimes. Read More

In this paper, we revisit the issue of static hairs of black holes in gravitational theories with broken Lorentz invariance in the case that the speed $c_{\phi}$ of the khronon field becomes infinitely large, $c_{\phi} = \infty$, for which the sound horizon of the khronon field coincides with the universal horizon, and the boundary conditions at the sound horizon reduce to those given normally at the universal horizons. As a result, less boundary conditions are present in this extreme case in comparison with the case $c_{\phi} = $ finite. Then, it would be expected that static hairs might exist. Read More

In this letter, a matrix method is employed to study the scalar quasinormal modes (QNMs) of Kerr as well as Kerr-Sen black holes. Discretization is applied to transfer the scalar perturbation equation into a matrix form eigenvalue problem, where the resulting radial and angular equations are derived by the method of separation of variables. The eigenvalues, quasinormal frequencies (QNF's) $\omega$ and angular quantum numbers $\lambda$, are then obtained by numerically solving the resultant homogeneous matrix equation. Read More

We present a joint analysis of Chandra X-ray observations, Bolocam thermal Sunyaev-Zel'dovich (SZ) effect observations, Hubble Space Telescope (HST) strong lensing data, and HST and Subaru Suprime-Cam weak lensing data. The multiwavelength dataset is used to constrain parametric models for the distribution of dark and baryonic matter in a sample of six massive galaxy clusters selected from the Cluster Lensing And Supernova survey with Hubble (CLASH). For five of the six clusters, the multiwavelength dataset is well described by a relatively simple model that assumes spherical symmetry, hydrostatic equilibrium, and entirely thermal pressure support. Read More

In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in form of a homogeneous system of linear algebraic equations. The resulting homogeneous matrix equation furnishes a non-standard eigenvalue problem, which can then be solved numerically to obtain the quasinormal frequencies. Read More

In this paper, we investigate the scalar quasinormal modes of Ho\v{r}ava-Lifshitz theory with $U(1)$ symmetry in static Anti-de Sitter spacetime. The static planar and spherical black hole solutions in lower energy limit are derived in non-projectable Ho\v{r}ava-Lifshitz gravity. The equation of motion of a scalar field is obtained, and is utilized to study the quasinormal modes of massless scalar particles. Read More

We propose a non grid-based interpolation scheme based on the information from the data collected from the vicinity of the query point. As a non-grid-based interpolation, the data points can be distributed randomly in a small region, and the interpolation is constructed so that it naturally makes use of the information not only on the function value but also on its higher order derivatives. The main advantage of the present approach is that the precision of the interpolation can be adjusted in accordance to the quantity of the data, in other words, a balance between the precision and the computational cost can be achieved by properly choosing the size of the neighborhood where the data points are collected. Read More

In this paper, static electrically charged black hole solutions with cosmological constant are investigated in an Einstein-Hilbert theory of gravity with additional quadratic curvature terms. Beside the analytic Schwarzschild (Anti-) de Sitter solutions, non-Schwarzschild (Anti-) de Sitter solutions are also obtained numerically by employing the shooting method. The results show that there exist two groups of asymptotically (Anti-) de Sitter spacetimes for both charged and uncharged black holes. Read More

We investigate the gravitational quasi-normal modes (QNMs) for a type of regular black hole (BH) known as phantom BH, which is a static self-gravitating solution of a minimally coupled phantom scalar field with a potential. The studies are carried out for three different spacetimes: asymptotically flat, de Sitter (dS), and anti de Sitter (AdS). In order to consider the standard odd parity and even parity of gravitational perturbations, the corresponding master equations are derived. Read More

In this paper, new electrically charged asymptotically flat black hole solutions are numerically derived in the context of higher derivative gravity. These solutions can be interpreted as generalizations of two different classes of non-charged asymptotically flat spacetimes: Schwarzschild and non-Schwarzschild solutions. Extreme black hole solutions and black holes with negative mass were found. Read More

In this work, we show that the inverse-$\lambda$ shape in the fundamental diagram of traffic flow can be produced dynamically by a nonlinear mesoscopic model. The key features in the fundamental diagram are shown to be closely related to the properties of the stochastic equation of motion as well as the stochastic stabilities of the steady and quasi-stationary solutions. In our model, the scattering of the data is attributed to the noise terms introduced in the stochastic differential equations; while the inverse-$\lambda$ shape and the associated sudden jump of physical quantities arise, due to the effect of stochastic noises on the stability of the system. Read More

In this paper, we show the existence of static and rotating universal horizons and black holes in gravitational theories with the broken Lorentz invariance. We pay particular attention on the ultraviolet regime, and show that universal horizons and black holes exist not only in low energy scales but also in the UV scales. This is realized by presenting various static and stationary exact solutions of the full theory of the projectable Ho\v{r}ava gravity with an extra U(1) symmetry in (2+1)-dimensions, which, by construction, is power-counting renormalizable. Read More

Holographic superconductors containing a non-minimal derivative coupling for scalar field in a regular phantom plane symmetric black hole have been considered. We show that the parameter of the regular black hole $b$ as well as the non-minimal derivative coupling parameter $\eta$ affect the formation of the condensate as well as the conductivity in the superconductor. Moreover, $b$ has a critical value in which the critical temperature $T_c$ increases without a bound. Read More

It is understood that congestion in traffic can be interpreted in terms of the instability of the equation of dynamic motion. The evolution of a traffic system from an unstable or metastable state to a globally stable state bears a strong resemblance to the phase transition in thermodynamics. In this work, we explore the underlying physics of the traffic system, by examining closely the physical properties and mathematical constraints of the phase transitions therein. Read More

We consider a Gaussian Beam (GB) resonant system for high frequency gravitational waves (HFGWs) detection. At present, we find the optimal signal strength in theory through setting the magnetic component of GB in a standard gaussian form. Under the synchro-resonance condition, we study the signal strength (i. Read More

In this paper, we study the existence of universal horizons in a given static spacetime, and find that the test khronon field can be solved explicitly when its velocity becomes infinitely large, at which point the universal horizon coincides with the sound horizon of the khronon. Choosing the timelike coordinate aligned with the khronon, the static metric takes a simple form, from which it can be seen clearly that the metric is free of singularity at the Killing horizon, but becomes singular at the universal horizon. Applying such developed formulas to three well-known black hole solutions, the Schwarzschild, Schwarzschild anti-de Sitter, and Reissner-Nordstr\"om, we find that in all these solutions universal horizons exist and are always inside the Killing horizons. Read More

Based on a regular exact black hole (BH) from nonlinear electrodynamics (NED) coupled to General Relativity, we investigate its stability of such BH through the Quasinormal Modes (QNMs) of electromagnetic (EM) field perturbation and its thermodynamics through Hawking radiation. In perturbation theory, we can deduce the effective potential from nonlinear EM field. The comparison of potential function between regular and RN BHs could predict their similar QNMs. Read More

In this work we aim at discussing the effects of higher order corrections to curvature on the Lovelock AdS black holes quasinormal spectrum and, in the context of gauge/gravity correspondence, their consequences for the formation of holographic superconductors. We also explore the hydrodynamic limit of the $U(1)$ gauge field perturbations in $d$ dimensions. Read More

In this paper, we first show that the definition of the universal horizons studied recently in the khrononmetric theory of gravity can be straightforwardly generalized to other theories that violate the Lorentz symmetry, by simply considering the khronon as a probe field and playing the same role as a Killing vector field. As an application, we study static charged ($D+1$)-dimensional spacetimes in the framework of the healthy (non-projectable) Horava-Lifshitz (HL) gravity in the infrared limit, and find various solutions. Some of them represent Lifshitz space-times with hyperscaling violations, and some have black hole structures. Read More

We consider holographic superconductors related to the Schwarzschild black hole in the low energy limit of Ho\v{r}ava-Lifshitz spacetime. The non-relativistic electromagnetic and scalar fields are introduced to construct a holographic superconductor model in Ho\v{r}ava-Lifshitz gravity and the results show that the $\alpha_2$ term plays an important role, modifying the conductivity curve line by means of an attenuation the conductivity. Read More

In this paper, we present all $[(d+1)+1]$-dimensional static diagonal vacuum solutions of the non-projectable Ho\v{r}ava-Lifshitz gravity in the IR limit, and show that they give rise to very rich Lifshitz-type structures, depending on the choice of the free parameters of the solutions. These include the Lifshitz spacetimes with or without hyperscaling violation, Lifshitz solitons, and black holes. Remarkably, even the theory breaks explicitly the Lorentz symmetry and allows generically instantaneous propagations, universal horizons still exist, which serve as one-way membranes for signals with any large velocities. Read More

We consider holographic superconductors in a rotating black string spacetime. In view of the mandatory introduction of the $A_\varphi$ component of the vector potential we are left with three equations to be solved. Their solutions show that the effect of the rotating parameter $a$ influences the critical temperature $T_c$ and the conductivity $\sigma$ in a simple but not trivial way. Read More

In this paper, we study static vacuum solutions of quantum gravity at a fixed Lifshitz point in (2+1) dimensions, and present all the diagonal solutions in closed forms in the infrared limit. The exact solutions represent spacetimes with very rich structures: they can represent generalized BTZ black holes, Lifshitz space-times or Lifshitz solitons, in which the spacetimes are free of any kind of space-time singularities, depending on the choices of the free parameters of the solutions. We also find several classes of exact static non-diagonal solutions, which represent similar space-time structures as those given in the diagonal case. Read More

Recently the modified Dirac equation with Lorentz invariance violation has been proposed, which would be helpful to resolve some issues in quantum gravity theory and high energy physics. In this paper, the modified Dirac equation has been generalized in curved spacetime, and then fermion tunneling of black strings is researched under this correctional Dirac field theory. We also use semi-classical approximation method to get correctional Hamilton-Jacobi equation, so that the correctional Hawking temperature and correctional black hole's entropy are derived. Read More

We report our analysis of MACS J0717.5+3745 using 140 and 268 GHz Bolocam data collected at the Caltech Submillimeter Observatory. We detect extended Sunyaev-Zel'dovich (SZ) effect signal at high significance in both Bolocam bands, and we employ Herschel-SPIRE observations to subtract the signal from dusty background galaxies in the 268 GHz data. Read More

In this paper, we first propose a universal coupling between the gravity and matter in the framework of the Ho\v{r}ava-Lifshitz theory of gravity with an extra U(1) symmetry for both the projectable and non-projectable cases. Then, using this universal coupling we study the post-Newtonian approximations and obtain the parameterized post-Newtonian (PPN) parameters in terms of the coupling constants of the theory. Contrary to the previous works in which only two PPN parameters were calculated, we obtain {\it all} PPN parameters. Read More

Using the WKB approximation, massless and massive Dirac quasinormal modes (QNMs) are studied in spherically symmetric regular spacetimes. We analyze the relationships between QNM frequencies and the parameters (angular momentum number $l$, magnetic monopole charge $\beta$ and the mass of the field $m$), and discuss the extreme charge of magnetic monopole $\beta_{e}$ for spherically symmetric regular black holes (BHs). Furthermore, we apply an expansion method to expand QNMs in inverse powers of $L=l+1/2$, and confirm good precision with $l>n$. Read More

(Abridged) In tandem with observational datasets, we utilize realistic mock catalogs, based on a semi-analytic galaxy formation model, constructed specifically for Pan-STARRS1 Medium Deep Surveys in order to assess the performance of the Probability Friends-of-Friends (PFOF, Liu et al.) group finder, and aim to develop a grouping optimization method applicable to surveys like Pan-STARRS1. Producing mock PFOF group catalogs under a variety of photometric redshift accuracies ({\sigma}{\Delta}z/(1+zs)), we find that catalog purities and completenesses from ``good' {\sigma}{\Delta}z/(1+zs)) ~ 0. Read More

We present a new way to solve the platform deformation problem of co-planar interferometers. The platform of a co-planar interferometer can be deformed due to driving forces and gravity. A deformed platform will induce extra components into the geometric delay of each baseline, and change the phases of observed visibilities. Read More

In this paper, we study static post-Newtonian limits in non-projectable Ho\v{r}ava-Lifshitz gravity with an extra U(1) symmetry. After obtaining all static spherical solutions in the infrared, we apply them to the solar system tests, and obtain the Eddington-Robertson-Schiff parameters in terms of the coupling constants of the theory. These parameters are well consistent with observations for the physically viable coupling constants. Read More

We describe Sunyaev-Zel'dovich (SZ) effect measurements and analysis of the intracluster medium (ICM) pressure profiles of a set of 45 massive galaxy clusters imaged using Bolocam at the Caltech Submillimeter Observatory. We have used masses determined from Chandra X-ray observations to scale each cluster's profile by the overdensity radius R500 and the mass-and-redshift-dependent normalization factor P500. We deproject the average pressure profile of our sample into 13 logarithmically spaced radial bins between 0. Read More

We describe in detail our characterization of the compact radio source population in 140 GHz Bolocam observations of a set of 45 massive galaxy clusters. We use a combination of 1.4 and 30 GHz data to select a total of 28 probable cluster-member radio galaxies and also to predict their 140 GHz flux densities. Read More

We study spherically symmetric, stationary vacuum configurations in general covariant theory (U(1) extension) of Ho\v{r}ava-Lifshitz gravity with the projectability condition and an arbitrary coupling constant $\lambda$, and obtain all the solutions in closed forms. If the gauge field $A$ and the Newtonian prepotential $\varphi$ do not directly couple to matter fields, the theory is inconsistent with solar system tests for $\lambda\not=1$, no matter how small $|\lambda-1|$ is. This is shown to be true also with the most general ansatz of spherical (but not necessarily stationary) configurations. Read More

This paper introduces a probabilistic graphical model for continuous action recognition with two novel components: substructure transition model and discriminative boundary model. The first component encodes the sparse and global temporal transition prior between action primitives in state-space model to handle the large spatial-temporal variations within an action class. The second component enforces the action duration constraint in a discriminative way to locate the transition boundaries between actions more accurately. Read More

We present Bolocam observations of two galaxy cluster candidates reported as unconfirmed in the Planck early Sunyaev-Zel'dovich (eSZ) sample, PLCKESZ G115.71+17.52 and PLCKESZ G189. Read More

In this paper, we study electromeganetic static spacetimes in the nonrelativisitc general covariant theory of the Horava-Lifshitz (HL) gravity, proposed recently by Horava and Melby-Thompson, and present all the electric static solutions, which represent the generalization of the Reissner-Nordstrom solution found in Einstein's general relativity (GR). The global/local structures of spacetimes in the HL theory in general are different from those given in GR, because the dispersion relations of test particles now contain high-order momentum terms, so the speeds of these particles are unbounded in the ultraviolet (UV). As a result, the conception of light-cones defined in GR becomes invalid and test particles do not follow geodesics. Read More

We study the strong coupling problem in the Horava-Melby-Thompson setup of the Horava-Lifshitz gravity with an arbitrary coupling constant $\lambda$, generalized recently by da Silva, where $\lambda$ describes the deviation of the theory in the infrared from general relativity that has $\lambda_{GR} = 1$. We find that a scalar field in the Minkowski background becomes strong coupling for processes with energy higher than $\Lambda_{\omega} [\equiv (M_{pl}/c_1)^{3/2} M_{pl}|\lambda - 1|^{5/4}]$, where generically $c_1 \ll M_{pl}$. However, this problem can be cured by introducing a new energy scale $M_{*}$, so that $M_{*} < \Lambda_{\omega}$, where $M_{*}$ denotes the suppression energy of high order derivative terms of the theory. Read More

Detailed balance and projectability conditions are two main assumptions when Horava recently formulated his theory of quantum gravity - the Horava-Lifshitz (HL) theory. While the latter represents an important ingredient, the former often believed needs to be abandoned, in order to obtain an ultraviolet stable scalar field, among other things. In this paper, because of several attractive features of this condition, we revisit it, and show that the scalar field can be stabilized, if the detailed balance condition is allowed to be softly broken. Read More

Interferometric millimeter observations of the cosmic microwave background and clusters of galaxies with arcmin resolutions require antenna arrays with short spacings. Having all antennas co-mounted on a single steerable platform sets limits to the overall weight. A 25 kg lightweight novel carbon-fiber design for a 1. Read More

2010Sep
Affiliations: 1Institute of Astronomy and Astrophysics, 2Institute of Astronomy and Astrophysics, 3H. H. Wills Physics Laboratory, University of Bristol, 4Department of Astronomy, Columbia University, 5Department of Astronomy, Columbia University, 6ASC/Alliances Center for Astrophysical Thermonuclear Flashes, University of Chicago, 7Institute of Astronomy and Astrophysics, 8Department of Physics, Institute of Astrophysics, and Center for Theoretical Sciences, National Taiwan University, 9Institute of Astronomy and Astrophysics, 10Institute of Astronomy and Astrophysics, 11Institute of Astronomy and Astrophysics, 12Institute of Astronomy and Astrophysics, 13Institute of Astronomy and Astrophysics, 14Department of Physics, Institute of Astrophysics, and Center for Theoretical Sciences, National Taiwan University, 15Department of Physics, Institute of Astrophysics, and Center for Theoretical Sciences, National Taiwan University

Clusters of galaxies have been used extensively to determine cosmological parameters. A major difficulty in making best use of Sunyaev-Zel'dovich (SZ) and X-ray observations of clusters for cosmology is that using X-ray observations it is difficult to measure the temperature distribution and therefore determine the density distribution in individual clusters of galaxies out to the virial radius. Observations with the new generation of SZ instruments are a promising alternative approach. Read More

2010Mar
Affiliations: 1ASIAA, 2ASIAA, 3ATNF, 4ASIAA, 5ASIAA, 6ASIAA, 7ASIAA, 8ASIAA, 9ASIAA, 10ASIAA, 11ASIAA, 12ASIAA, 13ASIAA, 14ASIAA, 15National Taiwan University, 16National Taiwan University, 17National Taiwan University, 18National Taiwan University, 19National Taiwan University, 20Carnegie-Mellon University, 21ASIAA, 22ASIAA, 23ASIAA, 24ATNF, 25ASIAA, 26ASIAA, 27ASIAA, 28ASIAA, 29ASIAA, 30National Taiwan University

A wideband analog correlator has been constructed for the Yuan-Tseh Lee Array for Microwave Background Anisotropy. Lag correlators using analog multipliers provide large bandwidth and moderate frequency resolution. Broadband IF distribution, backend signal processing and control are described. Read More

2010Mar
Affiliations: 1Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 2Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 3Institute of Astronomy and Astrophysics, Academia Sinica, 4Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 5Institute of Astronomy and Astrophysics, Academia Sinica, 6Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 7Institute of Astronomy and Astrophysics, Academia Sinica, 8Institute of Astronomy and Astrophysics, Academia Sinica, 9Institute of Astronomy and Astrophysics, Academia Sinica, 10Institute of Astronomy and Astrophysics, Academia Sinica, 11Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 12Institute of Astronomy and Astrophysics, Academia Sinica, 13Department of Physics, University of Bristol, 14Institute of Astronomy and Astrophysics, Academia Sinica, 15Institute of Astronomy and Astrophysics, Academia Sinica, 16Institute of Astronomy and Astrophysics, Academia Sinica, 17Institute of Astronomy and Astrophysics, Academia Sinica, 18Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 19Institute of Astronomy and Astrophysics, Academia Sinica, 20Institute of Astronomy and Astrophysics, Academia Sinica, 21Institute of Astronomy and Astrophysics, Academia Sinica, 22Institute of Astronomy and Astrophysics, Academia Sinica, 23Australia Telescope National Facility, 24Institute of Astronomy and Astrophysics, Academia Sinica, 25Institute of Astronomy and Astrophysics, Academia Sinica, 26Institute of Astronomy and Astrophysics, Academia Sinica, 27Institute of Astronomy and Astrophysics, Academia Sinica, 28Institute of Astronomy and Astrophysics, Academia Sinica, 29Institute of Astronomy and Astrophysics, Academia Sinica, 30Australia Telescope National Facility

The Sunyaev-Zel'dovich Effect (SZE) has been observed toward six massive galaxy clusters, at redshifts 0.091 \leq z \leq 0.322 in the 86-102 GHz band with the Y. Read More

2009Nov
Affiliations: 1Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 2Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 3Institute of Astronomy and Astrophysics, Academia Sinica, 4Institute of Astronomy and Astrophysics, Academia Sinica, 5Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 6Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 7Institute of Astronomy and Astrophysics, Academia Sinica, 8Institute of Astronomy and Astrophysics, Academia Sinica, 9Institute of Astronomy and Astrophysics, Academia Sinica, 10LeCosPA Center, National Taiwan University, 11Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 12Institute of Astronomy and Astrophysics, Academia Sinica, 13Department of Physics, University of Bristol, 14Institute of Astronomy and Astrophysics, Academia Sinica, 15Institute of Astronomy and Astrophysics, Academia Sinica, 16Institute of Astronomy and Astrophysics, Academia Sinica, 17Institute of Astronomy and Astrophysics, Academia Sinica, 18Department of Physics, Institute of Astrophysics, & Center for Theoretical Sciences, National Taiwan University, 19Institute of Astronomy and Astrophysics, Academia Sinica, 20Institute of Astronomy and Astrophysics, Academia Sinica, 21Institute of Astronomy and Astrophysics, Academia Sinica, 22Institute of Astronomy and Astrophysics, Academia Sinica, 23Australia Telescope National Facility, 24Institute of Astronomy and Astrophysics, Academia Sinica, 25Institute of Astronomy and Astrophysics, Academia Sinica, 26Institute of Astronomy and Astrophysics, Academia Sinica, 27Institute of Astronomy and Astrophysics, Academia Sinica, 28Institute of Astronomy and Astrophysics, Academia Sinica, 29Institute of Astronomy and Astrophysics, Academia Sinica, 30Australia Telescope National Facility

We investigate the scaling relations between the X-ray and the thermal Sunyaev-Zel'dovich Effect (SZE) properties of clusters of galaxies, using data taken during 2007 by the Y.T. Lee Array for Microwave Background Anisotropy (AMiBA) at 94 GHz for the six clusters A1689, A1995, A2142, A2163, A2261, and A2390. Read More

Based on semiclassical tunneling method, we focus on charged fermions tunneling from higher-dimensional Reissner-Nordstr\"{o}m black hole. We first simplify the Dirac equation by semiclassical approximation, and then a semiclassical Hamilton-Jacobi equation is obtained. Using the Hamilton-Jacobi equation, we study the Hawking temperature and fermions tunneling rate at the event horizon of the higher-dimensional Reissner-Nordstr\"{o}m black hole spacetime. Read More