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Many common instances of power control problems for cellular and cell-free massive MIMO networks can be interpreted as max-min utility optimization problems involving affine interference mappings and polyhedral constraints. We show that…

Quantum input-output relations for a generic $n$-port ring cavity are obtained by modeling the ring as a cascade of $n$ interlinked beam splitters. Cavity response to a beam impinging on one port is studied as a function of the…

量子物理 · 物理学 2009-11-13 Matteo G. A. Paris

We construct the exact partition function of the Potts model on a complete graph subject to external fields with linear and nematic type couplings. The partition function is obtained as a solution to a linear diffusion equation and the free…

数学物理 · 物理学 2019-08-14 Paolo Lorenzoni , Antonio Moro

We study the statistical properties of currents in two particular systems of capacitively coupled parallel transport channels. In the first system, each transport channel contains a single quantum dot in contact with two electron…

介观与纳米尺度物理 · 物理学 2013-10-03 Gregory Bulnes Cuetara

In this contribution we present an intrinsic description of time-variant Port Hamiltonian systems as they appear in modeling and control theory. This formulation is based on the splitting of the state bundle and the use of appropriate…

最优化与控制 · 数学 2012-08-14 Markus Schöberl , Kurt Schlacher

Recent development of techniques that improve the convergence properties of power flow simulation have been demonstrated to facilitate scaling to large system sizes (80k+ buses). However, the problem remains to reliably identify cases that…

信号处理 · 电气工程与系统科学 2019-12-10 Marko Jereminov , David M. Bromberg , Amritanshu Pandey , Martin R. Wagner , Larry Pileggi

In modern power systems, the operating point, at which the demand and supply are balanced, may take different values due to changes in loads and renewable generation levels. Understanding the dynamics of stressed power systems with a range…

系统与控制 · 计算机科学 2017-10-31 Thanh Long Vu , Hung Dinh Nguyen , Alexandre Megretski , Jean-Jacques Slotine , Konstantin Turitsyn

Transfer entropy is capable of capturing nonlinear source-destination relations between multi-variate time series. It is a measure of association between source data that are transformed into destination data via a set of linear…

信息论 · 计算机科学 2019-05-28 David Sigtermans

Consider a photon that has just emerged from a linear polarizing filter. If the photon is then subjected to an orthogonal polarization measurement-e.g., horizontal vs vertical-the photon's preparation cannot be fully expressed in the…

量子物理 · 物理学 2013-01-11 William K. Wootters

In this article, we propose a nonlinear voltage control to ensure power exchange in a multiport interconnected system, which consists of a bidirectional DC-DC converter and generating-storing devices. The converter topology under…

系统与控制 · 电气工程与系统科学 2024-04-01 Felipe Morales , Rafael Cisneros , Romeo Ortega , Antonio Sanchez-Squella

We present a new method to derive transport equations for quantum many-particle systems. This method uses an equation-of-motion technique and is applicable to systems with bosons and fermions, arbitrary interactions and time-dependent…

统计力学 · 物理学 2009-10-28 J. Fricke

This paper considers a multiple-input multiple-output (MIMO) relay system with an energy harvesting relay node. All nodes are equipped with multiple antennas, and the relay node depends on the harvested energy from the received signal to…

信息论 · 计算机科学 2017-03-31 Jialing Liao , Muhammad R. A. Khandaker , Kai-Kit Wong

Irreversible Port Hamiltonian Systems are departure of Port Hamiltonian Systems as they are generated not only by a Hamiltonian function but also by an entropy function and defined with respect to a quasi-Poisson bracket which embeds the…

动力系统 · 数学 2023-02-20 Bernhard Maschke , Jonas Kirchhoff

We present a theoretical investigation of thermal fluctuation statistics in a molecular motor. Energy transfer in the motor is described using a multidimensional discrete master equation with nearest-neighbor hopping. In this theory, energy…

统计力学 · 物理学 2014-01-07 K. J. Challis , M. W. Jack

Invariant theory is concerned with functions that do not change under the action of a given group. Here we communicate an approach based on tensor networks to represent polynomial local unitary invariants of quantum states. This graphical…

量子物理 · 物理学 2013-11-13 Jacob Biamonte , Ville Bergholm , Marco Lanzagorta

Molecular conduction operating in dielectric solvent environments are often described using kinetic rates based on Marcus theory of electron transfer at a molecule-metal electrode interface. However, the successive nature of charge transfer…

化学物理 · 物理学 2020-02-18 Henning Kirchberg , Michael Thorwart , Abraham Nitzan

The interpretation of the intensity and polarization of the spectral line radiation produced in the atmosphere of the Sun and of other stars requires solving a radiative transfer problem that can be very complex, especially when the main…

太阳与恒星天体物理 · 物理学 2015-06-16 Jiri Stepan , Javier Trujillo Bueno

This paper assesses the transient stability of a synchronous machine connected to an infinite bus through the notion of invariant sets. The problem of computing a conservative approximation of the maximal positive invariant set is…

最优化与控制 · 数学 2018-11-22 Antoine Oustry , Carmen Cardozo , Patrick Panciatici , Didier Henrion

The counting statistics of electron transport is theoretically studied in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by tunneling to two reservoirs. The…

介观与纳米尺度物理 · 物理学 2015-05-28 Gregory Bulnes Cuetara , Massimiliano Esposito , Pierre Gaspard

In this paper, we consider a scenario where one energy harvesting and one battery operated sensor cooperatively transmit a common message to a distant base station. The goal is to find the jointly optimal transmission (power allocation)…

信息论 · 计算机科学 2012-11-14 Lazar Berbakov , Carles Antón-Haro , Javier Matamoros