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Rigidity of the Critical Phases on a Cayley Tree
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ruiz, Jean Charles Schonmann, Roberto H. Shlosman, Senya B. Zagrebnov, Valentin A. |
| Copyright Year | 2002 |
| Abstract | We discuss statistical mechanics on nonamenable graphs, and we study the features of the phase transition, which are due to nonamenability. For the Ising model on the usual lattice it is known that below the critical temperature fluctuations of magnetization are much less likely in the states with nonzero magnetic field than in the pure states with zero field. We show that on the Cayley tree the corresponding fluctuations have the same order. 2000 Math. Subj. Class. 60F10, 82B20. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://math.iupui.edu/~bleher/Papers/2001_Rigidity_of_Critical_Phases_Cayley_Tree.pdf |
| Alternate Webpage(s) | http://www.ams.org/distribution/mmj/vol1-3-2001/bleher.pdf |
| Alternate Webpage(s) | http://www.math.iupui.edu/~bleher/Papers/2001_Rigidity_of_Critical_Phases_Cayley_Tree.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Bethe lattice Ising model Magma Magnetic Fields Muscle Rigidity Phase Transition Quantum state Respiratory Mechanics |
| Content Type | Text |
| Resource Type | Article |
