marcusl said:
You can Google the "Fluctuation Theorem", which discusses the conditions under which temporary violations of the 2nd Law can appear. Note that these "violations" are microscopic and fleeting, and are quickly reversed, leading to overall macroscopic conservation and validity the 2nd law.
Thanks, I'll keep it in mind. :)
Vanadium 50 said:
I would argue that entropy is only defined for large enough N such that you don't see violations of the 2nd law. If your system is small enough that these fluctuations are important, it's too small to describe accurately with macroscopic quantities like entropy.
I am talking about entropy, the Second Law, etc... as it is defined and understood in a course on
Classical Thermodynamics, where there is
no hypothesis on what matter is made of. Yes, of course, when one studies Statistical Mechanics, we see that fluctuations show up in small systems.
Curl said:
Yeah, these papers on "I VIOLATED 2ND LAW!11!1!" are just trying to get attention. Nobody cares about the small-system short-timescale experiments which, unsurprisingly, can find a system out of its most probable macrostate. We knew that all along.
I disagree, these are actual experiments to back theoretical results up. Boltzmann's equation is all nice and dandy, but seriously, has an explicit experiment ever been mentioned to you in a stat. mech class where the Second Law is violated? Of course "we knew that all along"; ever seen it actually happen? is what I'm saying.
On a sidenote, it's a good method to get some of these perpetual motion cranks to shut the heck up. They all unknowingly claim that the Second Law is something universal that can't ever be violated and that physicists are trying to cover up for the oil and gas companies as a part of some conspiracy, bla bla... no siree bob, physicists have known this for a while, and they've done experiments to prove it.