Various concepts of limit in statistical physics
http://bomber0.myid.net/ (토론)님의 2010년 8월 19일 (목) 20:33 판
introduction
concept of limit
- notations
- N : number of sites
- a : lattice spacing
- V : volume
- scaling limit
- continuum limit
- sending the lattice spacing a to zero, and the number N of sites to infinity, while keeping the volume V=Na constant
- sending the lattice spacing a to zero, and the number N of sites to infinity, while keeping the volume V=Na constant
- thermodynamic limit
- the size of the quantizing system to infinity
- [1]http://en.wikipedia.org/wiki/Thermodynamic_limit
- the size of the quantizing system to infinity
- infrared limit
- sending V to infinity, while keeping a constant
- sending V to infinity, while keeping a constant
- ultraviolet limit
The c-theorem implies that the infra-red limit, where the scale
goes to innity, and the ultra-violet limit, where the scale vanishes, are xed points
of the renormalisation group.
http://iopscience.iop.org/1126-6708/2000/03/008/pdf/1126-6708_2000_03_008.pdf
history
encyclopedia
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
- 2010년 books and articles
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
articles
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/
question and answers(Math Overflow)
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experts on the field