Multiple phases and vicious walkers in a wedge
We consider a statistical system in a planar wedge, for values of the bulk parameters corresponding to a first order phase transition and with boundary conditions inducing phase separation. Our previous exact field theoretical solution for the case of a single interface is extended to a class of sys...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2015-12-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315003715 |
| _version_ | 1818272788773863424 |
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| author | Gesualdo Delfino Alessio Squarcini |
| author_facet | Gesualdo Delfino Alessio Squarcini |
| author_sort | Gesualdo Delfino |
| collection | DOAJ |
| description | We consider a statistical system in a planar wedge, for values of the bulk parameters corresponding to a first order phase transition and with boundary conditions inducing phase separation. Our previous exact field theoretical solution for the case of a single interface is extended to a class of systems, including the Blume–Capel model as the simplest representative, allowing for the appearance of an intermediate layer of a third phase. We show that the interfaces separating the different phases behave as trajectories of vicious walkers, and determine their passage probabilities. We also show how the theory leads to a remarkable form of wedge covariance, i.e. a relation between properties in the wedge and in the half plane, which involves the appearance of self-Fourier functions. |
| first_indexed | 2024-12-12T21:47:38Z |
| format | Article |
| id | doaj.art-5049cd6926f44260892b068d1647bae8 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-12T21:47:38Z |
| publishDate | 2015-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-5049cd6926f44260892b068d1647bae82022-12-22T00:10:52ZengElsevierNuclear Physics B0550-32131873-15622015-12-01901C43044310.1016/j.nuclphysb.2015.10.019Multiple phases and vicious walkers in a wedgeGesualdo Delfino0Alessio Squarcini1SISSA – Via Bonomea 265, 34136 Trieste, ItalySISSA – Via Bonomea 265, 34136 Trieste, ItalyWe consider a statistical system in a planar wedge, for values of the bulk parameters corresponding to a first order phase transition and with boundary conditions inducing phase separation. Our previous exact field theoretical solution for the case of a single interface is extended to a class of systems, including the Blume–Capel model as the simplest representative, allowing for the appearance of an intermediate layer of a third phase. We show that the interfaces separating the different phases behave as trajectories of vicious walkers, and determine their passage probabilities. We also show how the theory leads to a remarkable form of wedge covariance, i.e. a relation between properties in the wedge and in the half plane, which involves the appearance of self-Fourier functions.http://www.sciencedirect.com/science/article/pii/S0550321315003715 |
| spellingShingle | Gesualdo Delfino Alessio Squarcini Multiple phases and vicious walkers in a wedge Nuclear Physics B |
| title | Multiple phases and vicious walkers in a wedge |
| title_full | Multiple phases and vicious walkers in a wedge |
| title_fullStr | Multiple phases and vicious walkers in a wedge |
| title_full_unstemmed | Multiple phases and vicious walkers in a wedge |
| title_short | Multiple phases and vicious walkers in a wedge |
| title_sort | multiple phases and vicious walkers in a wedge |
| url | http://www.sciencedirect.com/science/article/pii/S0550321315003715 |
| work_keys_str_mv | AT gesualdodelfino multiplephasesandviciouswalkersinawedge AT alessiosquarcini multiplephasesandviciouswalkersinawedge |