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Tesi etd-08252011-114122


Tipo di tesi
Tesi di laurea specialistica
Autore
SQUARCINI, ALESSIO
URN
etd-08252011-114122
Titolo
New Views of the Nonlocal Model of Short-Range Wetting of Heterogeneous Substrates
Dipartimento
SCIENZE MATEMATICHE, FISICHE E NATURALI
Corso di studi
SCIENZE FISICHE
Relatori
relatore Prof. Romero-Enrique, José Manuel
relatore Prof. Vicari, Ettore
Parole chiave
  • bending-unbending transition
  • interfaces
  • nonlocality
  • surfaces
  • wettability
  • wetting transitions
Data inizio appello
20/09/2011
Consultabilità
Non consultabile
Data di rilascio
20/09/2051
Riassunto
A long-standing problem of statistical mechanics, the 3D critical wetting with short-range forces has been solved recently by a new interfacial hamiltonian model - the Nonlocal Model. The NL Model was heuristically derived starting from a microscopic LGW-Hamiltonian through a careful coarse-grain procedure of tracing out the bulk degrees of freedom, based on a recepit proposed by Fisher-Jin in 1991. A new features presented with the NL Model are easily handable diagrammatic expansions for the observables.

The purpose of this thesis is to shed a new light on the theoretical foundations of the NL Model, for which a new rigorous variational derivation is given. In the new formalism is possible to work out exact considerations whose formal solution leads to new exact diagrammatic expansions.

Within this new framework, the analysis of geometrically patterned substrates with chemical heterogeneities is easily implementable. The planar substrate with two different chemical species periodically arranged in strips is numerically studied with the BEM. In our investigation no evidence of the the first-order bending transition was found to exist; nevertheless a continuous crossover between thin-thick films is observed for the first time. A discussion on forthcoming developments of this rapidly evolving research is given.
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