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The paper addresses the problem whether and how it is possible to detect the Luttinger-liquid behavior from the $IV$ curves for tunneling to 1D or quasi-1D conductors. The power-law non-ohmic $IV$ curve, which is usually considered as a…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 E. B. Sonin

The United States Code (Code) is an important source of Federal law that is produced by the interactions of many heterogeneous actors in a complex, dynamic space. The Code can be represented as the union of a hierarchical network and a…

Physics and Society · Physics 2010-03-24 Michael J. Bommarito , Daniel Martin Katz

The classical optimal power flow problem optimizes the power flow in a power network considering the associated flow and operating constraints. In this paper, we investigate optimal power flow in the context of utility-maximizing demand…

Data Structures and Algorithms · Computer Science 2018-03-22 Majid Khonji , Chi-Kin Chau , Khaled Elbassioni

An abstract network approach is proposed for the description of the dynamics in reactive processes. The phase space of the variables (concentrations in reactive systems) is partitioned into a finite number of segments, which constitute the…

Statistical Mechanics · Physics 2015-06-17 A. Provata , E. Panagakou

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

Optimization and Control · Mathematics 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

A closed expression is derived for the probability distribution of the transfer matrix of a particle moving in a one-dimensional system with delta-correlated, weak disorder. The change in the distribution as a function of wire length is…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Mark Ancliff

The increasing penetration of Distributed Energy Resources (DER) in the distribution network creates new challenges in the operation of both the transmission and the distribution network. However, the controllability of the converter…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Giorgos Prionistis , Costas Vournas

This paper presents an algorithm that solves the AC power flow problem for balanced, three-phase transmission systems at steady state. The algorithm extends the "fixed-point power flow" algorithm in the literature to include transmission…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Liangjie Chen , John W. Simpson-Porco

In this paper, we propose an optimization-based mechanism to explain power law distributions, where the function that the optimization process is seeking to optimize is derived mathematically, then the behavior and interpretation of this…

Physics and Society · Physics 2018-12-27 A. M. Khalili

The computation of electrical flows is a crucial primitive for many recently proposed optimization algorithms on weighted networks. While typically implemented as a centralized subroutine, the ability to perform this task in a fully…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-01 Luca Becchetti , Vincenzo Bonifaci , Emanuele Natale

This paper proposes a generic and unified model of the power flow (PF) problem for multiterminal hybrid AC/DC networks. The proposed model is an extension of the standard AC-PF. The DC network is treated as an AC one and, in addition to the…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Willem Lambrichts , Mario Paolone

Reactive power sharing and containment of voltages within limits for inverter-based resources (IBRs) are two important, yet coupled objectives in ac networks. In this article, we propose a distributed control technique to simultaneously…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Babak Abdolmaleki , John W. Simpson-Porco , Gilbert Bergna-Diaz

We consider directed networks of Winfree oscillators with power law distributed in- and out-degree distributions. Gaussian and power law distributed intrinsic frequencies are considered, and these frequencies are positively correlated with…

Adaptation and Self-Organizing Systems · Physics 2022-06-22 Shawn Means , Carlo Laing

In this work we introduce PowerModelsDistribution, a free, open-source toolkit for distribution power network optimization, whose primary focus is establishing a baseline implementation of steady-state multi-conductor unbalanced…

Computational Engineering, Finance, and Science · Computer Science 2020-12-09 David M Fobes , Sander Claeys , Frederik Geth , Carleton Coffrin

Viscous flows are laminar and deterministic. Robust linear laws accurately predict their streamlines in structures as complex as blood vessels, porous media and pipe networks. However, biological and synthetic active fluids defy these…

Soft Condensed Matter · Physics 2023-05-11 Camille Jorge , Amélie Chardac , Alexis Poncet , Denis Bartolo

Using group theoretic and topological concepts, together with tunneling phenomena, we geometrically design interfacial wave networks that contain splitters which partition energy in 2, 3, 4 or 5 directions. This enriches the valleytronics…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Mehul Makwana , Richard Craster

In this paper, we explore the consequences of a distinction between `live' and `dead' network nodes; `live' nodes are able to acquire new links whereas `dead' nodes are static. We develop an analytically soluble growing network model…

Physics and Society · Physics 2007-05-23 S. Lehmann , A. D. Jackson

Robustness of distributed routing policies is studied for dynamical flow networks, with respect to adversarial disturbances that reduce the link flow capacities. A dynamical flow network is modeled as a system of ordinary differential…

Systems and Control · Computer Science 2012-05-30 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

Increasing photovoltaic (PV) penetration in the distribution system can often lead to voltage violations. Mitigation of these violations requires reactive power intervention from PV inverters. However, the unbalanced nature of the…

Systems and Control · Electrical Eng. & Systems 2024-03-13 Dhaval Dalal , Anamitra Pal , Raja Ayyanar

Tunneling of electrons of definite chirality into a quantum wire creates counterpropagating excitations, carrying both charge and energy. We find that the partitioning of energy is qualitatively different from that of charge. The partition…

Mesoscale and Nanoscale Physics · Physics 2012-06-04 Torsten Karzig , Gil Refael , Leonid I. Glazman , Felix von Oppen
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