| Presentation | 2005/11/11 Ising Phase Transition Related to an Anomalous Structure of the Invariant Set in a Bernoulli Coupled Map Lattice : A "Seed" of the Ising Transition hidden in the Invariant Set Kazumasa TAKEUCHI, Masaki SANO, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | An approach to understanding phase transitions in terms of dynamical systems is mentioned. The thermodynamic formalism is extended to deal with time averages and fluctuations of some macroscopic quantity along typical orbits, and applied to a 1-dimensional Bernoulli coupled map lattice equivalent to the 1D Ising model. Thereby, an anomalous distribution of unstable periodic orbits is found, which appears as a q-phase transition. It turns out that the anomalous part can be regarded as a "seed" of the Ising phase transition and plays an essential role in the occurence of the transition. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | phase transition / chaos with many degrees of freedom / thermodynamic formalism / q-phase transition / space-time measure |
| Paper # | NLP2005-67,NC2005-59 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2005/11/11(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Ising Phase Transition Related to an Anomalous Structure of the Invariant Set in a Bernoulli Coupled Map Lattice : A "Seed" of the Ising Transition hidden in the Invariant Set |
| Sub Title (in English) | |
| Keyword(1) | phase transition |
| Keyword(2) | chaos with many degrees of freedom |
| Keyword(3) | thermodynamic formalism |
| Keyword(4) | q-phase transition |
| Keyword(5) | space-time measure |
| 1st Author's Name | Kazumasa TAKEUCHI |
| 1st Author's Affiliation | The University of Tokyo, School of Science() |
| 2nd Author's Name | Masaki SANO |
| 2nd Author's Affiliation | The University of Tokyo, School of Science |
| Date | 2005/11/11 |
| Paper # | NLP2005-67,NC2005-59 |
| Volume (vol) | vol.105 |
| Number (no) | 418 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |