Stochastic field theory of viscoelastic solids: a quantitative study of phononic friction

by Miru Lee
Doctoral thesis
Date of Examination:2022-06-23
Date of issue:2022-07-27
Advisor:Prof. Dr. Matthias Krüger
Referee:Prof. Dr. Matthias Krüger
Referee:Prof. Dr. Cynthia A. Volkert
Referee:Prof. Dr. Peter Sollich
Referee:Prof. Dr. Jörg Behler
Referee:Prof. Dr. Marcus Müller
Referee:PD Dr. Martin Wenderoth
Persistent Address: http://dx.doi.org/10.53846/goediss-9340

 

 

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Abstract

English

Identifying the relevant dynamics of solids that give rise to friction is an active field of study. It includes electronic and phononic degrees of freedom, but the latter seems to be of particular significance. For instance, drastic changes of friction on solids near phase transitions have been repeatedly measured. This phenomenon is attributed to sudden changes in the dynamics of phonons. The exact mechanism is, however, still poorly understood with many unanswered as well as yet-to-be-uttered questions. With this in mind, this thesis starts with asking; what are the roles of hidden phononic degrees of freedom when it comes to friction? We thus quantitatively study how friction arises from phonon dynamics of solids by means of both analytical and numerical methods.
Keywords: Statistical physics; Nonequilibrium physics; Friction; Tribology; Solid state physics; Stochastic system; Linear response theory; Green-Kubo relation; Viscoelastic solids
 
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