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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)…

Statistical Mechanics · Physics 2026-02-12 L. L. Bonilla , A. Torrente , J. M. Mangum , P. M. Thibado

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…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 P. M. Thibado , J. C. Neu , Pradeep Kumar , Surendra Singh , L. L. Bonilla

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…

Physics Education · Physics 2025-04-01 S. Faure , C. A. Plata , A. Prados , D. Guéry-Odelin

In the present work we study the well-known Two Capacitor Problem from a new perspective. Although this problem has been thoroughly investigated, as far as we know there are no studies of the thermodynamic aspects of the discharge process.…

Classical Physics · Physics 2012-06-12 Vitor Lara , Alexandre P. Lima , Antônio T. Costa

Recently [Physics Letters A, 374, (2010) 1801] the concept of vacuum capacitor spontaneously charged harnessing the heat from a single thermal reservoir at room temperature has been introduced, along with a mathematical description of its…

General Physics · Physics 2013-05-24 Germano D'Abramo

Half of the energy is always lost when charging a capacitor. Even in the limit of vanishing resistance, half of the charging energy is still lost--to radiation instead of heat. While this fraction can technically be reduced by charging…

Applied Physics · Physics 2018-05-14 Justin C. Wong , Sayeef Salahuddin

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…

Classical Physics · Physics 2016-11-04 Ashok K. Singal

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…

Classical Physics · Physics 2012-10-17 Keeyung Lee

In this Letter we describe a vacuum spherical capacitor that generates a macroscopic voltage between its spheres harnessing the heat from a single thermal reservoir at room temperature. The basic idea is trivial and it makes use of two…

General Physics · Physics 2012-12-07 Germano D'Abramo

A parallel plate capacitor containing an electrolytic solution is the simplest model of a supercapacitor, or electric double layer capacitor. Using both analytical and numerical techniques, we solve the Poisson-Nernst-Planck equations for…

Soft Condensed Matter · Physics 2025-10-02 Ivan Palaia , Adelchi J. Asta , Megh Dutta , Patrick B. Warren , Benjamin Rotenberg , Emmanuel Trizac

This work proposes a new variational, thermodynamically consistent model to predict thermal electrokinetics in electric double layer capacitors (EDLCs) by using an energetic variational approach. The least action principle and maximum…

Chemical Physics · Physics 2022-08-15 Xiang Ji , Chun Liu , Pei Liu , Shenggao Zhou

Using the functional-integral method we investigate the effective dynamics of a charged particle coupled to a set of two-level systems as a function of temperature and external electric field. The optical conductivity and the direct current…

Other Condensed Matter · Physics 2009-11-11 A. Villares Ferrer , A. O. Caldeira , C. Morais Smith

In this work we consider a new version of the remarkable two capacitor paradox, concretely its simpler form called single capacitor paradox in realistic case when all capacitors plates, conductors and switch are made by the same kind of…

General Physics · Physics 2023-01-02 Vladan Pankovic

The problems of high linear conductivity in an electric field, as well as nonlinear conductivity, are considered for plasma-like systems. First, we recall several observations of nonlinear fast charge transport in dusty plasma, molecular…

Plasma Physics · Physics 2015-06-23 S. A. Trigger , W. Ebeling , G. J. F. van Heijst , D. Litinski

Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic…

Statistical Mechanics · Physics 2019-06-26 Carlos E. Fiore , Mário J. de Oliveira

In this work, we consider the possibility of energy storage enhancement in electric capacitors using the compensational method. The essence of the proposed approach is the use of inductive voltage V_ind to partially compensate the…

Applied Physics · Physics 2020-10-28 Alexander Khitun

We have determined the thermal conductance of a system consisting of a two-level atom coupled to two quantum harmonic oscillators in contact with heat reservoirs at distinct temperatures. The calculation of the heat flux as well as the…

Statistical Mechanics · Physics 2017-04-07 Pedro H. Guimarães , Gabriel T. Landi , Mário J. de Oliveira

Electric double-layer capacitors (EDLCs), consisting of an ionic fluid between two metallic electrodes, are electrochemical energy storage devices complementary to batteries, allowing for a faster charge/discharge. The charging dynamics in…

Soft Condensed Matter · Physics 2026-05-19 Megh Dutta , Ivan Palaia , Emmanuel Trizac , Benjamin Rotenberg

Electrochemical devices often charge both through Faradaic reactions and electric double layer formation. Here, we study these coupled processes in a model system of a long electrolyte-filled pore subject to a small suddenly-applied…

Statistical Mechanics · Physics 2025-10-27 Timur Aslyamov , Massimiliano Esposito , Mathijs Janssen

A theoretical study of the thermoelectric current and energy harvesting in an interacting double quantum dot system, connected to reservoirs held at different chemical potentials and temperatures is presented. Using a rate-equation…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Yair Mazal , Yigal Meir , Yonatan Dubi
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