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- From: brahm@cco.caltech.edu (David E. Brahm)
- Newsgroups: sci.physics
- Subject: Re: below absolute zero?
- Summary: Gravitational systems have negative heat capacity
- Message-ID: <1k77lnINNl15@gap.caltech.edu>
- Date: 27 Jan 93 23:59:51 GMT
- References: <25442@galaxy.ucr.edu> <1k66mhINN7pd@mailgzrz.TU-Berlin.DE> <1k6r3uINNg4p@gap.caltech.edu>
- Organization: California Institute of Technology, Pasadena
- Lines: 25
- NNTP-Posting-Host: punisher.caltech.edu
-
- mmalak@cco.caltech.edu (Michael Jay Malak) writes (with regard to a finite
- spin system):
- > Intuitively, you would think that adding energy to a system should make
- > it hotter. This is correct.
-
- I thought I'd point out (though it's tangential to the original discussion)
- that gravitational systems do not obey your intuition. A gravitationally
- bound collection of hydrogen, for example, radiates away energy, thus
- collapsing and becoming hotter! (Eventually it becomes a star.) This
- system has negative heat capacity. Since heat flow then makes hot things
- hotter and cold things colder, for gravitational systems higher entropy is
- associated with greater inhomogeneity. That's why the homogeneous early
- universe is considered a very low-entropy state, and why the ultimate
- result of graviational collapse, black holes, have entropy associated with
- them.
-
- I've just been reading this stuff in "The Physical Basis of the Direction
- of Time", ch.5. Great book!
-
- --
- Staccato signals of constant information, | David Brahm, physicist
- A loose affiliation of millionaires and | (brahm@cco.caltech.edu)
- billionaires and Baby ... |---- Carpe Post Meridiem! --
- These are the days of miracle and wonder, | Disclaimer: I only speak
- And don't cry, Baby, don't cry, don't cry. | for the sensible folks.
-