Hamiltonian model of heat conductivity and Fourier law

Hamiltonian model of heat conductivity and Fourier law

Fourier Law from Hamiltonian Dynamics

The rigorous derivation of Fourier’s law of heat conduction for an interacting system of Hamiltonian particles is a classical and fundamental goal of statistical physics. I will consider the ball-piston system which is a dimension-reduced-version of a 2008 model of Gaspard and Gilbert. The direct aim is to treat its rare interaction limit leading to the mesoscopic master equation, i. e. to a Ma...

A mathematical proof of the zeroth "law" of thermodynamics and the nonlinear Fourier "law" for heat flow.

What is now known as the zeroth "law" of thermodynamics was first stated by Maxwell in 1872: at equilibrium, "Bodies whose temperatures are equal to that of the same body have themselves equal temperatures." In the present paper, we give an explicit mathematical proof of the zeroth "law" for classical, deterministic, T-mixing systems. We show that if a body is initially not isothermal it will i...

the innovation of a statistical model to estimate dependable rainfall (dr) and develop it for determination and classification of drought and wet years of iran

آب حاصل از بارش منبع تأمین نیازهای بی شمار جانداران به ویژه انسان است و هرگونه کاهش در کم و کیف آن مستقیماً حیات موجودات زنده را تحت تأثیر منفی قرار می دهد. نوسان سال به سال بارش از ویژگی های اساسی و بسیار مهم بارش های سالانه ایران محسوب می شود که آثار زیان بار آن در تمام عرصه های اقتصادی، اجتماعی و حتی سیاسی- امنیتی به نحوی منعکس می شود. چون میزان آب ناشی از بارش یکی از مولفه های اصلی برنامه ...

A compact heat transfer model based on an enhanced Fourier law for analysis of frequency-domain thermoreflectance experiments