| dc.contributor.advisor | Godec, Aljaz Dr. | |
| dc.contributor.author | Lapolla, Alessio | |
| dc.date.accessioned | 2021-06-07T13:56:11Z | |
| dc.date.available | 2021-06-13T00:50:07Z | |
| dc.date.issued | 2021-06-07 | |
| dc.identifier.uri | http://hdl.handle.net/21.11130/00-1735-0000-0008-584E-F | |
| dc.identifier.uri | http://dx.doi.org/10.53846/goediss-8645 | |
| dc.language.iso | eng | de |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject.ddc | 530 | de |
| dc.title | Manifestations of Memory in Time- and Ensemble-Average Statistical Mechanics of Low-dimensional Physical Observables | de |
| dc.type | cumulativeThesis | de |
| dc.contributor.referee | Godec, Aljaz Dr. | |
| dc.date.examination | 2021-05-31 | |
| dc.subject.gok | Physik (PPN621336750) | de |
| dc.description.abstracteng | The study of stochastic processes plays a very important role in our current
understanding of Statistical Physics, in particular many results from this
field have found successful applications in biological, socio-economics and
condensed matter systems.
An important feature of stochastic process is the presence, or absence,
of memory, i.e.: does the state of the system at a certain time depends
on its history or not? In many physically relevant scenarios the answer is
yes. Henceforth in the articles collected in this thesis we, at least partially,
constructed a theory able to describe and compute relevant properties of
processes with memory. This goal has been achieved in two ways: consid-
ering time-averaged observables and then obtaining explicit results for the
respective expectation moments, and studying how a dimensionality reduc-
tion procedure acting on a multi-dimensional memoryless system produces
a resulting process displaying memory effects. Finally the two approaches
have been combined as well.
We used the theory so developed to analyze classical exactly solvable
many-body systems in Statistical Mechanics: the single file and the Gaussian
network models. We also applied our analysis to trajectories derived from
experimental time-series and Molecular Dynamics simulations. We used the
tools we developed to elucidate properties of relaxation processes towards
equilibrium and to investigate the memory origin of the breaking of time-
translation invariance. | de |
| dc.contributor.coReferee | Matthias, Krueger Prof. Dr. | |
| dc.subject.eng | Statistical Mechanics | de |
| dc.subject.eng | Non Markovian processes | de |
| dc.subject.eng | projection operators | de |
| dc.identifier.urn | urn:nbn:de:gbv:7-21.11130/00-1735-0000-0008-584E-F-4 | |
| dc.affiliation.institute | Fakultät für Physik | de |
| dc.description.embargoed | 2021-06-13 | |
| dc.identifier.ppn | 1759994723 | |