eprintid: 20453
rev_number: 11
eprint_status: archive
userid: 2410
dir: disk0/00/02/04/53
datestamp: 2016-03-17 09:56:40
lastmod: 2016-06-20 08:00:30
status_changed: 2016-03-17 09:56:40
type: doctoralThesis
metadata_visibility: show
creators_name: Stockemer, Jan Hendrik
title: Functional renormalization group approach
to dynamic critical phenomena
subjects: ddc-530
divisions: i-130300
adv_faculty: af-13
abstract: In this thesis the real time functional renormalization group is applied to
investigate dynamic critical phenomena. In the first part, the established
method of the functional renormalization group as a tool for the calculation
of real time correlation functions is modified to properly incorporate the
thermal equilibrium initial conditions.
In the second part, this method is utilized to compute the dynamic critical
properties of a system of non-relativistic, bosonic particles. Our result
connect to a commonly applied effective description of dynamic critical phenomena.
The third part of the thesis extends these calculations to the relativistic
O(N) model. The convergence of parts of the truncation as well as the effects
of the chosen cutoff function are tested.
In the last part, the influence of conserved quantities on the dynamic critical
properties of a system is discussed. The dynamic universality class of Model
C as a simple, effective approximation of the effects of a conserved quantity
on the dynamic critical properties of a system is investigated.
date: 2016
id_scheme: DOI
id_number: 10.11588/heidok.00020453
ppn_swb: 1657239527
own_urn: urn:nbn:de:bsz:16-heidok-204538
date_accepted: 2016-02-05
advisor: HASH(0x55a7184369e8)
language: eng
bibsort: STOCKEMERJFUNCTIONAL2016
full_text_status: public
citation:   Stockemer, Jan Hendrik  (2016) Functional renormalization group approach to dynamic critical phenomena.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/20453/1/Thesis%20Stockemer%202.pdf