Saturday, July 25, 2015

Variational and Extremum Principles in Macroscopic Systems]保罗·郎之万

PDF]Variational and Extremum Principles in Macroscopic Systems
www.maths.bath.ac.uk/~jz203/.../6/.../sieniutycz.pdf
University of Bath
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Review of “Variational and Extremum Principles in Macroscopic Systems”, edited by Stanislaw Sieniutycz and Henrik Farkas. Given a dissipative system, is there ...
 
 
[PDF]保罗·郎之万
https://www.marxists.org/chinese/PDF/08/.../langziwan.pdf 翻譯這個網頁
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I explained this in section 2. So please read it again, study it and think about it for a little longer. When the heat bath is infinite, the force is perfectly conservative. For the case of gravity the speed of light determines the size of the heat bath, since its energy content is given by E=Mc^2. So in the non relativistic limit the heat bath is infinite. Indeed, Newton's laws are perfectly conservative. When one includes relativistic effects, the heat bath is no longer infinite. Here one could expect some irreversibility. In fact, I suspect that the production of gravity waves is causing this. Indeed, a binary system will eventually coalesce. This is irreversible, indeed. This all fits very well, extremely well, actually with the fact that gravity is an entropic force. Of course, when I first got these ideas, I worried also about irreversiblity. I knew about the polymer example, but had to study it again to convince myself that entropic forces can indeed be conservative. But it is a well known fact for biophysicists.

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