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The modified Poisson-Boltzmann theory of the restricted primitive model double layer is revisited and recast in a fresh, slightly broader perspective. Derivation of relevant equations follow the techniques utilized in the earlier MPB4 and…

统计力学 · 物理学 2017-10-05 L. B. Bhuiyan , C. W. Outhwaite

Dunkel and Hilbert, "Consistent thermostatistics forbids negative absolute temperatures," Nature Physics, {\bf 10}, 67 (2014), and Hilbert, H\"anggi, and Dunkel, "Thermodynamic laws in isolated systems," Phys. Rev. E {\bf 90}, 062116 (2014)…

统计力学 · 物理学 2015-07-09 Jian-Sheng Wang

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…

软凝聚态物质 · 物理学 2026-05-19 Megh Dutta , Ivan Palaia , Emmanuel Trizac , Benjamin Rotenberg

We propose an edge averaged finite element(EAFE) discretization to solve the Heat-PNP (Poisson-Nernst-Planck) equations approximately. Our method enforces positivity of the computed charged density functions and temperature function. Also…

数值分析 · 数学 2019-11-20 Simo Wu , Chun Liu , Ludmil Zitakanov

Hot collisionless accretion flows, such as the one in Sgr A$^{*}$ at our Galactic center, provide a unique setting for the investigation of magnetic reconnection. Here, protons are non-relativistic while electrons can be ultra-relativistic.…

高能天体物理现象 · 物理学 2017-11-15 Michael E. Rowan , Lorenzo Sironi , Ramesh Narayan

Using the scaling relation of the ground state quantum fidelity, we propose the most generic scaling relations of the irreversible work (the residual energy) of a closed quantum system at absolute zero temperature when one of the parameters…

统计力学 · 物理学 2015-09-02 Shraddha Sharma , Amit Dutta

In this work, we study the early universe inflation and the post-inflation reheating era employing an inverse tangent potential of the form $V=V_0 \cdot[tan^{-1}(\frac{\kappa \phi}{m_p})]^2$, where $\kappa$ is a free parameter of the…

宇宙学与河外天体物理 · 物理学 2025-11-24 Mayur Abhisheki , Prasanta Kumar Das

In the past, a number of heat engine models have been devised to apply the principles of thermodynamics to a laser. The best one known is the model using a negative temperature to describe population inversion. In this paper, we present a…

光学 · 物理学 2021-04-16 Peter Muys

We investigate the feasibility of models of inflation with a large Gauss-Bonnet coupling at late times, which have been shown to modify and prevent the end of inflation. Despite the potential of Gauss-Bonnet models in predicting favourable…

宇宙学与河外天体物理 · 物理学 2016-07-13 Carsten van de Bruck , Konstantinos Dimopoulos , Chris Longden

In this work we have used extensive Monte Carlo simulations and finite size scaling theory to study the phase transition in the dipolar Planar Rotator model (dPRM), also known as dipolar XY model. The true long-range character of the…

统计力学 · 物理学 2010-01-13 L. A. S. Mól , B. V. Costa

Basic properties of relativistic magnetic reconnection in electron-positron pair plasmas are investigated by using a particle-in-cell (PIC) simulation. We first revisit a problem by Hesse & Zenitani (2007), who examined the kinetic Ohm's…

高能天体物理现象 · 物理学 2017-11-03 Seiji Zenitani

The concepts of weighted reciprocal of temperature and weighted thermal flux are proposed for a heat engine operating between two heat baths and outputting mechanical work. With the aid of these two concepts, the generalized thermodynamic…

统计力学 · 物理学 2014-01-23 Shiqi Sheng , Z. C. Tu

Brownian heat engines use local temperature gradients in asymmetric potentials to move particles against an external force. The energy efficiency of such machines is generally limited by irreversible heat flow carried by particles that make…

统计力学 · 物理学 2009-11-07 T. E. Humphrey , R. Newbury , R. P. Taylor , H. Linke

Thermodynamic systems involving reversible and non-reversible heat transfer are used to derive integral inequalities expected from the Second of Law of Thermodynamics. Then, the inequalities are proved and generalized to higher dimensions…

经典分析与常微分方程 · 数学 2019-01-01 Anuj S. Apte

We propose a modified Poisson-Nernst-Planck (PNP) model to investigate charge transport in electrolytes of inhomogeneous dielectric environment. The model includes the ionic polarization due to the dielectric inhomogeneity and the ion-ion…

计算物理 · 物理学 2015-06-19 Zhenli Xu , Manman Ma , Pei Liu

We construct a generic model for a heat engine using information theory concepts, attributing irreversible energy dissipation to the information transmission channels. Using several forms for the channel capacity, classical and quantum, we…

统计力学 · 物理学 2015-05-18 Yun Zhou , Dvira Segal

For the structure of the thin electrical double layer~(EDL) and the property related to the EDL capacitance, we analyze boundary layer solutions (corresponding to the electrostatic potential) of a non-local elliptic equation which is a…

偏微分方程分析 · 数学 2018-07-31 Chiun-Chang Lee

The time reversibility characteristic of Hamiltonian mechanics has long been extended to nonHamiltonian dynamical systems modeling nonequilibrium steady states with feedback-based thermostats and ergostats. Typical solutions are…

统计力学 · 物理学 2015-08-13 William Graham Hoover , Carol Griswold Hoover

We develop a modified Poisson-Nernst-Planck model which includes both the long-range Coulomb and short-range hard-sphere correlations in its free energy functional such that the model can accurately describe the ion transport in complex…

计算物理 · 物理学 2021-05-21 Manman Ma , Zhenli Xu , Liwei Zhang

We obtain generalizations of the Kelvin-Planck, Clausius, and Carnot statements of the second law of thermodynamics, for situations involving information processing. To this end, we consider an information reservoir (representing, e.g. a…

统计力学 · 物理学 2013-10-21 Sebastian Deffner , Christopher Jarzynski