Statistical mechanics of polymer models: rigorous results and applications

Molari, Marco (2016) Statistical mechanics of polymer models: rigorous results and applications. [Laurea magistrale], Università di Bologna, Corso di Studio in Fisica [LM-DM270], Documento ad accesso riservato.
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Monomer-dimer models are amongst the models in statistical mechanics which found application in many areas of science, ranging from biology to social sciences. This model describes a many-body system in which monoatomic and diatomic particles subject to hard-core interactions get deposited on a graph. In our work we provide an extension of this model to higher-order particles. The aim of our work is threefold: first we study the thermodynamic properties of the newly introduced model. We solve analytically some regular cases and find that, differently from the original, our extension admits phase transitions. Then we tackle the inverse problem, both from an analytical and numerical perspective. Finally we propose an application to aggregation phenomena in virtual messaging services.

Tipologia del documento
Tesi di laurea (Laurea magistrale)
Autore della tesi
Molari, Marco
Relatore della tesi
Correlatore della tesi
Corso di studio
Curriculum A: Teorico generale
Ordinamento Cds
Parole chiave
statistical mechanics many-body inverse problem graph-theory
Data di discussione della Tesi
1 Aprile 2016

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