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We propose a system of partial differential equations with a single constant delay $\tau > 0$ describing the behavior of a one-dimensional thermoelastic solid occupying a bounded interval of $\mathbb{R}^{1}$. For an initial-boundary value…

Analysis of PDEs · Mathematics 2014-10-28 Denys Ya. Khusainov , Michael Pokojovy

Using the quasi-equilibrium Helmholtz energy (qHE), defined as the thermodynamic work in a quasi-static process, we investigate the thermal properties of both an isothermal process and a transition process between the adiabatic and…

Statistical Mechanics · Physics 2022-07-06 Shoki Koyanagi , Yoshitaka Tanimura

We review recent interest in the relativistic Riemann problem as a method for generating a non-equilibrium steady state. In the version of the problem under con- sideration, the initial conditions consist of a planar interface between two…

High Energy Physics - Theory · Physics 2016-11-23 Michael Spillane , Christopher P. Herzog

We explore near-field radiative heat transfer between two bodies under time modulation by developing a rigorous fluctuational electrodynamics formalism. We demonstrate that time modulation can results in the enhancement, suppression,…

Optics · Physics 2024-04-24 Renwen Yu , Shanhui Fan

We investigate the energy relaxation process produced by thermal baths at zero temperature acting on the boundary atoms of chains of classical anharmonic oscillators. Time-dependent perturbation theory allows us to obtain an explicit…

Chaotic Dynamics · Physics 2016-09-08 F. Piazza , S. Lepri , R. Livi

The fluid flow across an unbounded horizontal plate embedded with uniform mass diffusion is studied in this article together with the impacts of the chemical reaction and parabolic motion, while the temperature and concentration of the…

Dynamical Systems · Mathematics 2024-10-08 P. Sivakumar , R. M. Madhusudhan , R. Muthucumaraswamy , A. Ramamoorthy

We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as…

Statistical Mechanics · Physics 2018-10-10 Priyanka , Aritra Kundu , Abhishek Dhar , Anupam Kundu

The heat transfer mechanism in Rayleigh-Benard convection in a liquid with a mean temperature close to its boiling point is studied through numerical simulations with point-like vapor bubbles, which are allowed to grow or shrink through…

Fluid Dynamics · Physics 2015-05-13 Paolo Oresta , Roberto Verzicco , Detlef Lohse , Andrea Prosperetti

We simulate convection near the solar surface, where the continuum optical depth is of order unity. Hence, to determine the radiative heating and cooling in the energy conservation equation, we must solve the radiative transfer equation…

Astrophysics · Physics 2007-05-23 Robert Stein , Aake Nordlund

In the present paper we propose a reduced temperature non-equilibrium model for simulating multicomponent flows with inter-phase heat transfer, diffusion processes (including the viscosity and the heat conduction) and external energy…

Numerical Analysis · Mathematics 2021-08-19 Chao Zhang , Lifeng Wang , Zhijun Shen , Zhiyuan Li , Igor Menshov

In this paper, the authors propose a numerical method to compute the solution of a nonlinear reaction-diffusion problem in the case of HS-regime. The initial condition is a nonnegative function with compact support. The problem is split in…

Numerical Analysis · Mathematics 2009-05-19 Marie-Noëlle Le Roux

The equation of state of hot hadronic matter is obtained, by taking into account the contribution of the massive states with the help of the resonance spectrum $\tau (m)\sim m^3$ justified by the authors in previous papers. This equation of…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Burakovsky , L. P. Horwitz

Calculating liquid energy and heat capacity in general form is an open problem in condensed matter physics. We develop a recent approach to liquids from the solid state by accounting for the contribution of anharmonicity and thermal…

Statistical Mechanics · Physics 2015-03-19 Dima Bolmatov , Kostya Trachenko

In previous studies on a number of under- and overdoped high temperature superconductors, including YBa_{2}Cu_{3}O_{7-y} and Tl_{2}Ba_{2}CuO_{6+\delta}, the transition temperature T_c has been found to change with time in a manner which…

Superconductivity · Physics 2009-10-31 S. Sadewasser , J. S. Schilling , J. L. Wagner , O. Chmaissem , J. D. Jorgensen , D. G. Hinks , B. Dabrowski

Among the many ways of investigating coronal heating, the time lag method of Viall & Klimchuk (2012) is becoming increasingly prevalent as an analysis technique complementary to those traditionally used. The time lag method cross correlates…

Solar and Stellar Astrophysics · Physics 2016-09-21 Nicholeen M. Viall , James A. Klimchuk

AC-specific heat measurements remain as the foremost thermodynamic experimental method to underpin phase transitions in tiny samples. However, its performance under combined extreme conditions of high-pressure, very low temperature and…

Strongly Correlated Electrons · Physics 2020-07-23 Julio Larrea J , V. Martelli , H. M. Rønnow

We give a multimensional version of the p-adic heat equation, and show that its fundamental solution is the transition density of a Markov process.

Mathematical Physics · Physics 2008-01-16 J. J. Rodriguez-Vega , W. A. Zuniga-Galindo

It has recently been shown theoretically that the time-dependent heat conduction equation is form-invariant under curvilinear coordinate transformations. Thus, in analogy to transformation optics, fictitious transformed space can be mapped…

Materials Science · Physics 2013-05-14 Robert Schittny , Muamer Kadic , Sebastien Guenneau , Martin Wegener

We consider the motion of a viscous compressible and heat conducting fluid confined in the gap between two rotating cylinders (Taylor-Couette flow). The temperature of the cylinders is fixed but not necessarily constant. We show that the…

Analysis of PDEs · Mathematics 2022-08-10 Eduard Feireisl , Young Sam Kwon

In a recent paper, PRL 114 100404, 2015, Raeisi and Mosca gave a limit for cooling with Heat-Bath Algorithmic Cooling (HBAC). Here we show how to exceed that limit by having correlation in the qubits-bath interaction.