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On the integrable dynamical systems in statistical mechanics

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dc.contributor.authorZheng, Yu
dc.date.accessioned2019-10-10T01:57:54Z
dc.date.available2019-10-10T01:57:54Z
dc.date.issued2016
dc.date.updated2019-10-10T00:54:25Z
dc.description.abstractMathematical details of stochastic process are reviewed, before one-dimensional Ising model is introduced and solved statistical mechanically by partition function, quantum mechanically by Bethe ansatz and algebraic Bethe ansatz, and stochastically by master equation. Bethe ansatz are also applied to mass transport models including asymmetric simple exclusion process and zero range process. Several two-dimensional surface growth models and their corresponding universality classes are discussed.en_AU
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1885/173605
dc.provenanceDeposited by Mathematical Sciences Institute in 2019.
dc.titleOn the integrable dynamical systems in statistical mechanicsen_AU
dc.typeThesis (Honours)en_AU
local.contributor.affiliationMathematical Sciences Institute, Australian National Universityen_AU
local.contributor.supervisorMangazeev, Vladimir
local.identifier.doi10.25911/5d9efb12e420a
local.mintdoiminten_AU
local.type.degreeOtheren_AU

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