# GPPU Seminar

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*How many is different? Question on Emergence and Answer from ideal Bose gas*

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Jeong-Hyuck Park

(Sogang University, Rep. of Korea)

### Date

16:00-18:00, November 09th, 2017### Place

Room 745, Science Complex B (H-03) map### Abstract

How many H2O molecules are needed to form water? While the precise answer is not known, it is clear that the answer should be a finite number rather than infinity. We revisit with care the ideal Bose gas confined in a cubic box which is discussed in most statistical physics textbooks. We show that the isobar of the ideal gas zigzags on the temperature-volume plane featuring a `boiling-like' discrete phase transition, provided the number of particles is equal to or greater than a particular value: 7616. This demonstrates for the first time how a finite system can feature a mathematical singularity and realize the notion of `Emergence', without resorting to the thermodynamic limit.### Point

**GSP 1**

Contact: Yusuke Tanimura (tanimura [at] nucl.phys.tohoku.ac.jp)