"Critical phenomena"의 두 판 사이의 차이
| 39번째 줄: | 39번째 줄: | ||
E.A. Guggenheim, The Journal of Chemical Physics 13, 253-261 (1945). | E.A. Guggenheim, The Journal of Chemical Physics 13, 253-261 (1945). | ||
| − | + | R. M. Tromp, W. Theis, and N. C. Bartelt, “Real-Time Microscopy of Two-Dimensional Critical Fluctuations: Disordering of the Si(113)-( 3 x 1) Reconstruction,” Physical Review Letters 77, no. 12 (1996): 2522. | |
2011년 1월 26일 (수) 15:08 판
introduction
In this sense, the thermodynamic functions seem to display scale invariance around the critical point (for systems that have a critical point!), with the scaling variable t=(1-T/Tc). Note that the logarithm y=log x obeys y(ax)=y(x) + log a. It is scale invariant with exponent 0 (and a scale-dependent shift.) This is related to the famous formula
limp-->0 (x^p-1)/p = log x
which shows that logs are a special case of power law functions with power 0.
examples
liquid-vapour critical point
paramagnetic-ferromagnetic transition
multicomponent fluids
alloys
superfulids
superconductors
polymers
fully developed turbulence
quark-gluon plasma
early universe
E.A. Guggenheim, The Journal of Chemical Physics 13, 253-261 (1945).
R. M. Tromp, W. Theis, and N. C. Bartelt, “Real-Time Microscopy of Two-Dimensional Critical Fluctuations: Disordering of the Si(113)-( 3 x 1) Reconstruction,” Physical Review Letters 77, no. 12 (1996): 2522.
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