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We consider a generalization of the weighted random ball model. The model is driven by a random Poisson measure with a product heavy tailed intensity measure. Such a model typically represents the transmission of a network of stations with…

Probability · Mathematics 2010-03-01 Jean-Christophe Breton , Clement Dombry

In this paper, a multi-dimensional fractional wave equation that describes propagation of the damped waves is introduced and analyzed. In contrast to the fractional diffusion-wave equation, the fractional wave equation contains fractional…

Mathematical Physics · Physics 2021-03-12 Yuri Luchko

Approximate outage probability expressions are derived for systems employing maximum ratio combining, when both the desired signal and the interfering signals are subjected to $\eta-\mu$ fading, with the interferers having unequal power.…

Information Theory · Computer Science 2018-05-22 Muralikrishnan Srinivasan , Sheetal Kalyani

We explore some consequences of the ``alpha model,'' also called the ``Lagrangian-averaged'' model, for two-dimensional incompressible magnetohydrodynamic (MHD) turbulence. This model is an extension of the smoothing procedure in fluid…

Fluid Dynamics · Physics 2009-11-10 P. D. Mininni , D. C. Montgomery , A. G. Pouquet

We study the statistical properties of the complex generalization of Wigner time delay $\tau_\text{W}$ for sub-unitary wave chaotic scattering systems. We first demonstrate theoretically that the mean value of the $\text{Re}[\tau_\text{W}]$…

Disordered Systems and Neural Networks · Physics 2021-11-15 Lei Chen , Steven M. Anlage , Yan V. Fyodorov

The challenge of distributed fusion estimation is investigated for a class of four-dimensional (4D) commutative hypercomplex signals that are $\mathbb{T}_k$-proper factorizable, within the framework of multiple-sensor networks with…

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

Dust emission is an important tool in studies of star-forming clouds, as a tracer of column density and indirectly via the dust evolution that is connected to the history and physical conditions of the clouds. We examine radiative transfer…

Astrophysics of Galaxies · Physics 2024-01-24 M. Juvela

The modulational instability of dust-acoustic (DA) waves (DAWs), and corresponding DA rogue waves (DARWs) in a realistic space dusty plasma system (containing inertial warm positively and negatively charged dust, isothermal ions, and…

Plasma Physics · Physics 2017-11-22 N. A. Chowdhury , A. A. Mamun

In this paper, we develop an accurate closed-form analytic expression of the outage probability for each source-destination (S-D) pair in the two S-D pairs two relays wireless network, where cooperative network coding is applied over…

Information Theory · Computer Science 2024-06-14 Elias Benamira , Fatiha Merazka , Güneş Karabulut Kurt

This paper investigates the performance of terahertz~(THz) wireless systems over the $\alpha$-$\mathcal{F}$ fading channels with beam misalignment and mobility. New expressions are derived for the probability density, cumulative…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Wamberto J. L. Queiroz , Hugerles S. Silva , Higo T. P. Silva , Alexandros-Apostolos A. Boulogeorgos

This letter analyses the effective capacity of communications system using unified models. In order to obtain a simple closed-form mathematically tractable expression, two different unified approximate models have been used. The mixture…

Information Theory · Computer Science 2018-04-26 H. Al-Hmood , H. S. Al-Raweshidy

Classical MD data on the charge-charge dynamic structure factor of two-component plasmas (TCP) modeled in Phys. Rev. A 23, 2041 (1981) are analyzed using the sum rules and other exact relations. The convergent power moments of the imaginary…

We present a new approach to real-space multiple-scattering theory for molecules and clusters, based on the two-potential (distorted-wave) Lippmann-Schwinger equation formalism. Our approach uses a recently developed form [D. L. Foulis,…

Mathematical Physics · Physics 2008-06-04 D. L. Foulis

At millimeter-wave frequencies, diffuse scattering from rough surfaces is an important propagation mechanism. Including this mechanism in radio propagation modeling tools,such as ray-tracing, is a key step towards realizing accurate…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Stefanos Bakirtzis , Takahiro Hashimoto , Costas D. Sarris

The secrecy outage performance of wireless communication systems operating over spatially correlated composite fading channels is analyzed in this paper. We adopt a multiplicative composite channel model for both the legitimate…

Information Theory · Computer Science 2017-10-04 George C. Alexandropoulos , Kostas P. Peppas

Dispersion of a passive scalar from concentrated sources in fully developed turbulent channel flow is studied with the probability density function (PDF) method. The joint PDF of velocity, turbulent frequency and scalar concentration is…

Fluid Dynamics · Physics 2010-03-24 J. Bakosi , P. Franzese , Z. Boybeyi

The performance of energy detection (ED) for independent and identically distribution (i.i.d.) signal models is analyzed over generalized composite non-linear line-of-sight (LOS) and non-line-of-sight (NLOS) shadowed fading scenarios. The…

Information Theory · Computer Science 2018-01-03 He Huang

A robust theory of the mechanism of pair density wave (PDW) superconductivity (i.e. where Cooper pairs have nonzero center of mass momentum) remains elusive. Here we explore the triangular lattice $t$-$J$-$V$ model, a low-energy effective…

Strongly Correlated Electrons · Physics 2025-10-28 Jiucai Wang , Wen Sun , Hao-Xin Wang , Zhaoyu Han , Steven A. Kivelson , Hong Yao

A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the…

Mathematical Physics · Physics 2016-09-07 Semion Gutman