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Finite-size effects in high dimensional physical systems

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thesis
posted on 03.04.2019, 23:33 by JENS CHRISTIAN GRIMM
Statistical mechanics is a branch of mathematical physics which seeks to explain how macroscopic behaviour can emerge from the interactions between a large number of microscopic particles. One of the main aims in this field is to understand how phenomena such as phase transitions emerge in large but finite systems of interacting particles. In this thesis, we clarify a number of open questions in a long-standing debate regarding the surprising role of boundary effects in high-dimensional systems of critical phenomena.

History

Campus location

Australia

Principal supervisor

Tim Garoni

Additional supervisor 1

Zongzheng Zhou

Year of Award

2018

Department, School or Centre

Mathematical Sciences

Course

Doctor of Philosophy

Degree Type

DOCTORATE

Faculty

Faculty of Science