Statistical models on infinite graphs may exhibit inhomogeneous thermodynamic behaviour at macroscopic scales. This phenomenon is of a geometrical origin and may be properly described in terms of spectral partitions into subgraphs with well defined spectral dimensions and spectral weights. These subgraphs are shown to be thermodynamically homogeneous and effectively decoupled.
Burioni, R., Cassi, D., Destri, C. (2000). Spectral partitions on infinite graphs. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 33(19), 3627-3636 [10.1088/0305-4470/33/19/301].
Spectral partitions on infinite graphs
DESTRI, CLAUDIO
2000
Abstract
Statistical models on infinite graphs may exhibit inhomogeneous thermodynamic behaviour at macroscopic scales. This phenomenon is of a geometrical origin and may be properly described in terms of spectral partitions into subgraphs with well defined spectral dimensions and spectral weights. These subgraphs are shown to be thermodynamically homogeneous and effectively decoupled.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
