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The well-known two-capacitor problem, in which exactly half the stored energy disappears when a charged capacitor is connected to an identical capacitor is discussed based on the mechanical harmonic oscillator model approach. In the…

经典物理 · 物理学 2012-10-17 Keeyung Lee

It is shown that the famous paradox of two charged capacitors is successfully resolved if all the energy changes in the system are properly considered when some of the charges are transferred from one capacitor to the other. It happens so…

经典物理 · 物理学 2016-11-04 Ashok K. Singal

The charging capacitor is used as a standard paradigm for illustrating the concept of the Maxwell "displacement current". A certain aspect of the problem, however, is often overlooked. It concerns the conditions for satisfaction of the…

经典物理 · 物理学 2025-03-17 C. J. Papachristou

In this work we suggest very simple solution of the two capacitors paradox in the completely ideal (without any electrical resistance or inductive) electrical circuit. Namely, it is shown that electrical field energy loss corresponds to…

综合物理 · 物理学 2016-12-01 Vladan Pankovic

We consider a model for a quantum battery consisting of a collection of $N$ two-level atoms driven by a classical field and decaying to a common reservoir. In the extensive regime, where the energy $E$ scales as $N$ and the fluctuations…

量子物理 · 物理学 2024-12-17 Sagar Pokhrel , Julio Gea-Banacloche

Capacitors are ubiquitous in electronic and electrical devices. In this article, we study -- both theoretically and experimentally -- the charging and discharging of capacitors using active control of a voltage source. The energy of these…

物理教育 · 物理学 2025-04-01 S. Faure , C. A. Plata , A. Prados , D. Guéry-Odelin

This study is presented in a series of two papers. The first paper is an analytical study. This is the second paper, and here we numerically study the thermal energy harvesting capability of two electronic circuits. The first circuit…

统计力学 · 物理学 2026-02-12 J. M. Mangum , L. L. Bonilla , A. Torrente , P. M. Thibado

Nonlinear elements in a rectifying circuit can be used to harvest energy from thermal fluctuations either steadily or transitorily. We study an energy harvesting system comprising a small variable capacitor (e.g., free standing graphene)…

统计力学 · 物理学 2026-02-12 L. L. Bonilla , A. Torrente , J. M. Mangum , P. M. Thibado

The classical two-capacitor paradox of the lost energy is revisited from an electronic circuit security stand-point. The paradox has been solved previously by various researchers, and the energy lost during the charging of capacitors has…

密码学与安全 · 计算机科学 2025-12-24 Raghvendra Pratap Singh , Baibhab Chatterjee , Shreyas Sen , Debayan Das

Electric capacitors are commonly used in electronic circuits for short-term storage of small amounts of energy. It is desirable however to use capacitors to store much larger energy amounts to replace rechargeable batteries. Unfortunately,…

介观与纳米尺度物理 · 物理学 2020-11-25 A. Bezryadin , A. Belkin , E. Ilin , M. Pak , Eugene V. Colla , A. Hubler

The charge of an ideal parallel capacitor leads to the resolution of the wave equation for the electric field with prescribed initial conditions and boundary constraints. Independently of the capacitor's shape and the applied voltage, none…

综合物理 · 物理学 2014-12-19 Daniele Funaro

A Thermally Chargeable Capacitor containing a binary solution of 1-ethyl-3-methylimidazolium bis(trifluoromethylsulfonyl)-imide (EMIMTFSI) in acetonitrile is electrically charged by applying a tempera- ture gradient to two ideally…

软凝聚态物质 · 物理学 2015-06-23 Marco Bonetti , Sawako Nakamae , Bo Tao Huang , Thomas J. Salez , Cecile Wiertel-Gasquet , Michel Roger

The efficiency and cooling power of a two-terminal thermoelectric refrigerator are analyzed near the limit of vanishing dissipation (ideal system), where the optimal efficiency is the Carnot one, but the cooling power then unfortunately…

介观与纳米尺度物理 · 物理学 2014-01-22 O. Entin-Wohlman , J-H Jiang , Y. Imry

Energy dissipation, typically considered an undesirable process, has recently been shown to be harnessed as a resource to optimize the performance of a quantum battery. Following this perspective, we introduce a novel technique of charging…

量子物理 · 物理学 2025-03-17 Borhan Ahmadi , Paweł Mazurek , Shabir Barzanjeh , Paweł Horodecki

We theoretically consider a graphene ripple as a Brownian particle coupled to an energy storage circuit. When circuit and particle are at the same temperature, the second law forbids harvesting energy from the thermal motion of the Brownian…

介观与纳米尺度物理 · 物理学 2023-08-21 P. M. Thibado , J. C. Neu , Pradeep Kumar , Surendra Singh , L. L. Bonilla

The decay of the electrical energy in a resistor-vacuum capacitor circuit is shown to involve multiple relaxation processes, with dramatically different time constants. This is measured using a vacuum capacitor to eliminate the effect of a…

综合物理 · 物理学 2024-04-02 Frank V. Kowalski

Consider two capacitors in parallel, but initially isolated by a switch such that one is charged and the other not. After the switch is closed, the charges redistribute themselves in such a way that the final electrostatic energy is less…

经典物理 · 物理学 2007-05-23 Kirk T. McDonald

Charge transport in porous electrodes is foundational for modern energy storage technologies like supercapacitors, fuel cells, and batteries. Supercapacitors in particular rely solely on storing energy in charged pores. Here, we simulate…

软凝聚态物质 · 物理学 2025-12-12 Aaron D. Ratschow , Alexander J. Wagner , Mathijs Janssen , Steffen Hardt

We propose and analyze a universal method to obtain fast charging of a quantum battery by a driven charger system using controlled, pure dephasing of the charger. While the battery displays coherent underdamped oscillations of energy for…

量子物理 · 物理学 2025-01-22 Rahul Shastri , Chao Jiang , Guo-Hua Xu , B. Prasanna Venkatesh , Gentaro Watanabe

We investigate a quantum battery system under both external driving and dissipation. The system consists of a coupled two-level charger and battery immersed in nonequilibrium fermionic reservoirs. By considering the changes in the energy…

量子物理 · 物理学 2025-06-13 Zhihai Wang , Hongwei Yu , Jin Wang
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