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We consider a diffusion process on an evolving surface with a piecewise Lipschitz-continuous boundary from an energetic point of view. We employ an energetic variational approach with both surface divergence and transport theorems to derive…

Mathematical Physics · Physics 2018-10-19 Hajime Koba

In this paper, we prove the existence and global boundedness from above for a solution to an integrodifferential model for nonisothermal multi-phase transitions under nonhomogeneous third type boundary conditions. The system couples a…

Analysis of PDEs · Mathematics 2015-03-17 Pierluigi Colli , Pavel Krejčí , Elisabetta Rocca , Jürgen Sprekels

Internally heated convection involves the transfer of heat by fluid motion between a distribution of sources and sinks. Focusing on the balanced case where the total heat added by the sources matches the heat taken away by the sinks, we…

Analysis of PDEs · Mathematics 2022-12-13 Binglin Song , Giovanni Fantuzzi , Ian Tobasco

Charge transfer is a fundamental process that underlies a multitude of phenomena in chemistry and biology. Recent advances in observing and manipulating charge and heat transport at the nanoscale, and recently developed techniques for…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Galen T. Craven , Abraham Nitzan

Current-induced phenomena are often obscured by Joule heating, and their steady states are difficult to analyze in large open systems. We introduce a translationally invariant asymmetric-hopping model as an effective bulk description of…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Yoshihiro Michishita

Heat transport in the cuprate superconductors YBa$_2$Cu$_3$O$_{y}$ and La$_{2-x}$Sr$_x$CuO$_4$ was measured at low temperatures as a function of doping. A residual linear term kappa_{0}/T is observed throughout the superconducting region…

We study the heat conductivity in Anderson insulators in the presence of power-law interaction. Particle-hole excitations built on localized electron states are viewed as two-level systems randomly distributed in space and energy and…

Disordered Systems and Neural Networks · Physics 2016-06-24 D. B. Gutman , I. V. Protopopov , A. L. Burin , I. V. Gornyi , R. A. Santos , A. D. Mirlin

In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long--time correlation of the corresponding currents. The effective asymptotic behaviour is addressed with reference to the problem of heat…

Statistical Mechanics · Physics 2009-11-10 Stefano Lepri , Roberto Livi , Antonio Politi

We consider thermal conduction across a general nonlinear phononic junction. Based on two-time observation protocol and the field theoretical/algebraic method, the cumulants of the heat transferred in both transient and steady-state regimes…

Statistical Mechanics · Physics 2016-09-09 Huanan Li , Bijay Kumar Agarwalla , Baowen Li , Jian-Sheng Wang

While phonons and electrons are well-established heat carriers in solids, photons are typically associated only with radiative transfer between surfaces. Yet for over 70 years, theorists have speculated that thermal photons could also…

Materials Science · Physics 2025-10-28 Janak Tiwari , Tianli Feng

A wide range of natural and industrial processes involve heat and mass transport in porous media. In some important cases the transported substance may undergo phase change, e.g. from liquid to solid and vice versa in the case of freezing…

Applied Physics · Physics 2026-05-22 Petr Nikolaev , Majid Sedighi , Andrey P Jivkov , Lee Margetts

We consider chains consisting of several identical subsystems weakly coupled by various types of next neighbor interactions. At both ends the chain is coupled to a respective heat bath with different temperature modeled by a Lindblad…

Statistical Mechanics · Physics 2007-05-23 Mathias Michel , Jochen Gemmer , Guenter Mahler

The transfer of heat between electrons and phonons plays a key role for thermal management in future nanowire-based devices, but only a few experimental measurements of electron-phonon (e-ph) coupling in nanowires are available. Here, we…

Mesoscale and Nanoscale Physics · Physics 2013-02-01 Jason Matthews , Eric A. Hoffmann , Carsten Weber , Andreas Wacker , Heiner Linke

We analyze the heat transfer between two nanoparticles separated by a distance lying in the near-field domain in which energy interchange is due to Coulomb interactions. The thermal conductance is computed by assuming that the particles…

Materials Science · Physics 2008-04-18 Agustin Pérez-Madrid , José M. Rubí , Luciano C. Lapas

Transport coefficients in Lorentz plasma with the power-law kappa-distribution are studied by means of using the transport equation and macroscopic laws of Lorentz plasma without magnetic field. Expressions of electric conductivity,…

Plasma Physics · Physics 2013-09-10 Jiulin Du

A nanowire with its two ends fixed at two different temperatures by external baths is the simplest example of a fermionic system with a temperature inhomogeneity, and could be an easy platform to study thermodynamic and transport properties…

Mesoscale and Nanoscale Physics · Physics 2025-04-07 Yuan Gao , K. A. Muttalib

In this research, a novel method to investigation the transient heat transfer coefficient in a channel is suggested experimentally, in which the water flow, itself, is considered both just liquid phase and liquid-vapor phase. The…

Fluid Dynamics · Physics 2019-07-30 Majid Karami , Somayeh Davoodabadi Farahani , Farshad Kowsary , Amir Mosavi

We calculate the charge and heat current associate with electrons, generated by a temperature gradient and chemical potential difference between two ends of a tubular nanowire of 30 nm radius in the presence of an external magnetic field…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Hadi Rezaie Heris , Movaffaq Kateb , Sigurdur I. Erlingsson , Andrei Manolescu

We present a new method for predicting effective thermal conductivity ($\kappa_{\textrm{eff}}$) in materials, informed by ${ab\,initio}$ material property simulations. Using the Boltzmann transport equation in a Self-Adjoint Angular Flux…

Materials Science · Physics 2019-08-22 Jackson R. Harter , Aria Hosseini , Todd. S. Palmer , P. Alex Greaney

Recent results on theoretical studies of heat conduction in low-dimensional systems are presented. These studies are on simple, yet nontrivial, models. Most of these are classical systems, but some quantum-mechanical work is also reported.…

Statistical Mechanics · Physics 2009-11-13 Abhishek Dhar