| DATE: |
2009-04-21 11:00 - 12:00 |
| PLACE: |
Kenkyu Honkan 2F RM 220 |
| TITLE: |
7616 : a critical number for emergence |
| CONTACT: |
HIKIDA, Yasuaki / hikida at post.kek.jp |
| SPEAKER: |
Dr. Sang-Woo Kim (CQUeST, Sogang University ) |
| LANGUAGE: |
English |
| ABSTRACT: |
We assert, contrary to a common belief, that canonical ensembles with finite number of physical degrees can manifest discontinuous phase transitions featuring a genuine mathematical singularity, provided we keep not volume but pressure constant. As a concrete model, we reconsider a famous elementary system, ideal Bose gas: For exact yet complicated expressions of various thermodynamic quantities in canonical ensemble, we perform numerical computations up to the number of particles one million. We report that a first-order phase transition does emerge if the number of particles is equal to or greater than 7616.
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