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Information delivery using chemical molecules is an integral part of biology at multiple distance scales and has attracted recent interest in bioengineering and communication theory. Potential applications include cooperative networks with…

信息论 · 计算机科学 2017-09-05 Yansha Deng , Adam Noel , Weisi Guo , Arumugam Nallanathan , Maged Elkashlan

We are interested in finding the joint distribution function of the real and imaginary parts of the local Green function for a system with chaotic internal wave scattering and a uniform energy loss (absorption). For a microwave cavity…

介观与纳米尺度物理 · 物理学 2007-05-23 Yan V. Fyodorov , Dmitry V. Savin

Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

介观与纳米尺度物理 · 物理学 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao

In this paper, we propose the {\alpha}-Lomax distribution as a new compound fading channel model. This new distribution generalizes the recently introduced Lomax fading channel model. It is worth noting that the Lomax distribution is a…

信息论 · 计算机科学 2024-06-07 Osamah S. Badarneh , Daniel Benevides da Costa

We propose an information-theoretic model for the transport of waves through a chaotic cavity in the presence of absorption. The entropy of the S-matrix statistical distribution is maximized, with the constraint $<Tr SS^{\dagger}> =\alpha…

介观与纳米尺度物理 · 物理学 2009-10-31 Eugene Kogan , Pier A. Mello , He Liqun

The phenomenon of Anderson localization of waves in elastic systems is studied. We analyze this phenomenon in two different set of systems: disordered linear chains of harmonic oscillators and disordered rods which oscillate with torsional…

经典物理 · 物理学 2023-07-19 R. A. Mendez-Sanchez , L. Gutierrez , A. Morales , J. Flores , A. Diaz-de-Anda , G. Monsivais

We formulate a new model for transport in stochastic media with long-range spatial correlations where exponential attenuation (controlling the propagation part of the transport) becomes power law. Direct transmission over optical distance…

光学 · 物理学 2021-07-13 Anthony B. Davis , Feng Xu

In this study, we experimentally investigate the application of a transient signal with complex frequencies to the absorption and transmission of sound waves. Indeed, the emission of a wave with an exponentially varying amplitude in time is…

应用物理 · 物理学 2025-03-18 Anis Maddi , Gaelle Poignand , Vassos Achilleos , Vincent Pagneux , Guillaume Penelet

Dynamic and steady state aspects of wave propagation are deeply connected in lossless open systems in which the scattering matrix is unitary. There is then an equivalence among the energy excited within the medium, the Wigner time delay,…

无序系统与神经网络 · 物理学 2021-06-25 Yiming Huang , Yuhao Kang , Azriel Z. Genack

The propagation of a narrow-band signal radiated by a point source in a randomly layered absorbing medium is studied asymptotically in the weak-scattering limit. It is shown that in a disordered stratified medium that is homogeneous on…

无序系统与神经网络 · 物理学 2009-11-07 V. D. Freilikher , Yu. V. Tarasov

The stochastic solution with Gaussian stationary increments is establihsed for the symmetric space-time fractional diffusion equation when $0 < \beta < \alpha \le 2$, where $0 < \beta \le 1$ and $0 < \alpha \le 2$ are the fractional…

统计力学 · 物理学 2016-03-18 Gianni Pagnini , Paolo Paradisi

Random perturbations applied in tandem to an ensemble of oscillating objects can synchronize their motion. We study multiple copies of an arbitrary dynamical system in a stable limit cycle, described via a standard phase reduction picture.…

统计力学 · 物理学 2024-02-23 Yunxiang Song , Thomas A. Witten

This paper proposes a new model called \emph{spatial continuum asymmetric channels} to study the channel capacity region of asymmetric scenarios in which either one source transmits to a spatial density of receivers or a density of…

信息论 · 计算机科学 2016-02-03 Jean-Marie Gorce , H. Vincent Poor , Jean-Marc Kelif

We study analytically and numerically a model of random sequential adsorption (RSA) of segments on a line, subject to some constraints suggested by two kinds of physical situations: - deposition of dimers on a lattice where the sites have a…

凝聚态物理 · 物理学 2016-08-31 B. Bonnier , Y. Leroyer , E. Pommiers

We study the attenuation of long-wavelength shear sound waves propagating through model jammed packings of frictionless soft spheres interacting with repulsive springs. The elastic attenuation coefficient, $\alpha(\omega)$, of transverse…

无序系统与神经网络 · 物理学 2010-09-09 Vincenzo Vitelli

Motivated by applications in optics and acoustics we develop a dynamical-system approach to describe absorption in chaotic systems. We introduce an operator formalism from which we obtain (i) a general formula for the escape rate $\kappa$…

混沌动力学 · 物理学 2013-10-25 Eduardo G. Altmann , Jefferson S. E. Portela , Tamás Tél

Random sequential adsorption is an irreversible surface deposition of extended objects. In systems with continuous degrees of freedom coverage follows a power law, theta(t) = theta_J - c t^{-alpha}, where the exponent alpha depends on the…

统计力学 · 物理学 2015-06-25 Jian-Sheng Wang

Information delivery using chemical molecules is an integral part of biology at multiple distance scales and has attracted recent interest in bioengineering and communication. The collective signal strength at the receiver (i.e., the…

信息论 · 计算机科学 2016-08-04 Yansha Deng , Adam Noel , Weisi Guo , Arumugam Nallanathan , Maged Elkashlan

In the setting of entangled single-sample distributions, the goal is to estimate some common parameter shared by a family of distributions, given one \emph{single} sample from each distribution. We study mean estimation and linear…

机器学习 · 计算机科学 2020-07-08 Hui Yuan , Yingyu Liang

We consider a model system in which anomalous diffusion is generated by superposition of underlying linear modes with a broad range of relaxation times. In the language of Gaussian polymers, our model corresponds to Rouse (Fourier) modes…

统计力学 · 物理学 2010-03-11 Assaf Amitai , Yacov Kantor , Mehran Kardar