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Related papers: Reversible heating in electric double layer capaci…

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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

Several modern technologies for energy storage and conversion are based on the screening of electric charge on the surface of porous electrodes by ions in an adjacent electrolyte. This so-called electric double layer (EDL) exhibits an…

Soft Condensed Matter · Physics 2021-03-15 Fabian Glatzel , Mathijs Janssen , Andreas Härtel

The linearized of the Poisson-Nernst-Planck (PNP) equation under closed ends around a neutral state is studied. It is reduced to a damped heat equation under non-local boundary conditions, which leads to a stochastic interpretation of the…

Mathematical Physics · Physics 2023-03-28 Gershon Wolansky

We present a continuation of our theoretical research into the influence of co-solvent polarizability on a differential capacitance of the electric double layer [EPL 111, 28002 (2015)]. We formulate a modified Poisson-Boltzmann theory,…

Soft Condensed Matter · Physics 2016-05-11 Yu. A. Budkov , A. L. Kolesnikov , M. G. Kiselev

We address the problem of overheating of electrons trapped on the liquid helium surface by cyclotron resonance excitation. Previous experiments, suggest that electrons can be heated to temperatures up to 1000K more than three order of…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 A. D. Chepelianskii , Masamitsu Watanabe , Kimitoshi Kono

We study the iterated quasi-reversibility method to regularize ill-posed elliptic and parabolic problems: data completion problems for Poisson's and heat equations. We define an abstract setting to treat both equations at once. We…

Analysis of PDEs · Mathematics 2022-07-19 Jérémi Dardé

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

In this paper, we consider a non-isothermal electrokinetic model, which is derived from the Energetic Variational Approach. The charge transport is described through the Poisson-Nernst-Planck equations with variable temperature, and the…

Analysis of PDEs · Mathematics 2020-01-24 Chia-Yu Hsieh , Tai-Chia Lin , Chun Liu , Pei Liu

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

In this work we analyze the deviations of reversible cycles (for both heat engines and refrigerators) from the corresponding Carnot cycle operating between the same extreme temperatures and deviations of irreversible cycles from its…

Statistical Mechanics · Physics 2024-02-13 J. Gonzalez-Ayala , F. Angulo-Brown , A. Calvo Hernández , S. Velasco

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…

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

A physical system connected to two thermal reservoirs at different temperatures is said to act as a heat rectifier when it is able to bias the heat current in a given direction, similarly to an electronic diode. We propose to quantify the…

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

We analyse a device aimed at the conversion of heat into electrical energy, based on a closed cycle in which a distiller generates two solutions at different concentrations, and an electrochemical cell consumes the concentration difference,…

Chemical Physics · Physics 2022-09-14 Andrea Carati , Massimo Marino , Doriano Brogioli

Understanding how electrolyte-filled porous electrodes respond to an applied potential is important to many electrochemical technologies. Here, we consider a model supercapacitor of two blocking cylindrical pores on either side of a…

Soft Condensed Matter · Physics 2022-04-05 Jie Yang , Mathijs Janssen , Cheng Lian , René van Roij

Ionic Seebeck effect of electrolytes has shown promising applications in harvesting energy from low-grade waste-heat sources with small temperature difference from the environment, which can power sensors and Internet-of-Things devices.…

Soft Condensed Matter · Physics 2022-02-03 Xin Qian , Te-Huan Liu , Ronggui Yang

Tachyon inflation is one of the most attractive models of noncannonical inflation motivated by string theory. In this work we revisit the constraints on tachyon inflation with inverse $\cosh$ potential and exponential potential considering…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-05 Akhilesh Nautiyal

The plasma in low-luminosity accretion flows, such as the one around the black hole at the center of M87 or Sgr A* at our Galactic Center, is expected to be collisioness and two-temperature, with protons hotter than electrons. Here,…

High Energy Astrophysical Phenomena · Physics 2019-03-12 Michael E. Rowan , Lorenzo Sironi , Ramesh Narayan

The reversible heat in lithium-ion batteries (LIBs) due to entropy change is fundamentally important for understanding the chemical reactions in LIBs and developing proper thermal management strategies. However, the direct measurements of…

Applied Physics · Physics 2021-07-02 Zhe Cheng , Xiaoyang Ji , David G. Cahill

We show that coupled autonomous thermal machines, in the presence of three heat reservoirs and following a global linear-irreversible description, provide a unified framework to accommodate the variety of expressions for the efficiency at…

Statistical Mechanics · Physics 2023-08-15 Ramandeep S. Johal , Renuka Rai
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