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Some 80-90 years ago, George A. Linhart, unlike A. Einstein, P. Debye, M. Planck and W. Nernst, has managed to derive a very simple, but ultimately general mathematical formula for heat capacity vs. temperature from the fundamental…

统计力学 · 物理学 2010-07-14 E. B. Starikov

We consider the elliptic system of linear elasticity with bounded measurable coefficients in a domain where the second Korn inequality holds. We construct heat kernel of the system subject to Dirichlet, Neumann, or mixed boundary condition…

偏微分方程分析 · 数学 2014-09-25 Justin Taylor , Seick Kim , Russell Brown

We develop a method to reconstruct the primordial power spectrum, P(k), using both temperature and polarisation data from the joint analysis of a number of Cosmic Microwave Background (CMB) observations. The method is an extension of the…

宇宙学与河外天体物理 · 物理学 2009-07-22 Gavin Nicholson , Carlo R. Contaldi

Electrical double layer (EDL) is formed when an electrode is in contact with an electrolyte solution, and is widely used in biophysics, electrochemistry, polymer solution and energy storage. Poisson-Boltzmann (PB) coupled equations provides…

介观与纳米尺度物理 · 物理学 2022-03-02 Cherq Chua , Chun Yun Kee , L. K. Ang , Yee Sin Ang

The present work deals with the derivation of corrector estimates for the two-scale homogenization of a thermo-diffusion model with weak thermal coupling posed in a heterogeneous medium endowed with periodically arranged high-contrast…

偏微分方程分析 · 数学 2016-10-05 Adrian Muntean , Sina Reichelt

The pairing gaps, heat capacities and level densities are calculated within the BCS-based quasiparticle approach including the effect of thermal fluctuations on the pairing field within the pairing model plus noncollective rotation along…

核理论 · 物理学 2012-07-25 N. Quang Hung , N. Dinh Dang

The description of a conducting medium in thermal equilibrium, such as an electrolyte solution or a plasma, involves nonlinear electrostatics, a subject rarely discussed in the standard electricity and magnetism textbooks. We consider in…

化学物理 · 物理学 2018-08-01 C. G. Gray , P. J. Stiles

The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(-tP) associated to a classical, strongly elliptic pseudodifferential operator P of positive order on a closed manifold. The…

偏微分方程分析 · 数学 2014-11-04 Heiko Gimperlein , Gerd Grubb

This paper proposes a new equivalent circuit model for rechargeable batteries by modifying a double-capacitor model proposed in [1]. It is known that the original model can address the rate capacity effect and energy recovery effect…

系统与控制 · 电气工程与系统科学 2024-09-23 Ning Tian , Huazhen Fang , Jian Chen , Yebin Wang

The temperature dependence of the dielectric permittivity is taken into account to study the energy change in a capacitor that follows a cycle between a cold and a hot thermal reservoirs. There is a net energy gain in the process that, in…

综合物理 · 物理学 2015-06-11 E. N. Miranda

This work concerns the statistics of the Two-Time Measurement definition of heat variation in each reservoir of a thermodynamic quantum system. We study the cumulant generating function of the heat flows in the thermodynamic and large-time…

数学物理 · 物理学 2019-10-30 Tristan Benoist , Annalisa Panati , Yan Pautrat

The double-scaled infinite temperature limit of the SYK model has been conjectured by Rahman and Susskind (RS) [1, 2, 3, 4], and independently by Verlinde [5] to be dual to a certain low dimensional de Sitter space. In a recent discussion…

高能物理 - 理论 · 物理学 2025-04-21 Adel A Rahman , Leonard Susskind

We study a warm-tachyon inflationary model non-minimally coupled to a Gauss-Bonnet term. The general conditions required for reliability of the model are obtained by considerations of a combined hierarchy of Hubble and Gauss-Bonnet flow…

广义相对论与量子宇宙学 · 物理学 2016-12-21 Maysam Motaharfar , Hamid Reza Sepangi

In this paper we propose and analyze a finite difference numerical scheme for the Poisson-Nernst-Planck equation (PNP) system. To understand the energy structure of the PNP model, we make use of the Energetic Variational Approach (EnVarA),…

数值分析 · 数学 2020-09-18 Chun Liu , Cheng Wang , Steven M. Wise , Xingye Yue , Shenggao Zhou

We study the polarization response to the temperature gradient in insulators, known as the thermopolarization effect. We show that this response can be understood through the free energy response function to an electric field gradient,…

介观与纳米尺度物理 · 物理学 2025-02-24 Yugo Onishi , Hiroki Isobe , Atsuo Shitade , Naoto Nagaosa

The analysis of dissipation and dephasing in driven mesoscopic devices requires a distinction between two notions of quantum irreversibility. One ("Loschmidt echo") is related to "time reversal", while the other is related to "driving…

介观与纳米尺度物理 · 物理学 2009-11-07 Tsampikos Kottos , Doron Cohen

We study the two-field warm inflation models with a double quadratic potential and a linear temperature dependent dissipative coefficient. We derived the evolution equation of all kinds of perturbations without assuming slow-roll…

广义相对论与量子宇宙学 · 物理学 2019-05-23 Yang-yang Wang , Xiao-Min Zhang , Jian-Yang Zhu

Effects of the adsorption-desorption process on the immittance response of an electrolytic cell are theoretically investigated in the framework of the diffusional Poisson-Nernst-Planck (PNP) continuum model, when the generation and…

We study an inverse problem involving the restoration of two radiative potentials, not necessarily smooth, simultaneously with initial temperatures in parabolic equations with dynamic boundary conditions. We prove a Lipschitz stability…

偏微分方程分析 · 数学 2021-05-06 E. M. Ait Ben Hassi , S. E. Chorfi , L. Maniar

In a grid-less Electron Cyclotron Resonance (ECR) plasma thruster with a diverging magnetic nozzle, the magnitude of the ambipolar field accelerating the positive ions depends of the perpendicular energy gained by the electrons. This work…

等离子体物理 · 物理学 2023-03-08 Jean Porto , Paul-Quentin Elias , Andrea Ciardi