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Planelike interfaces in long-range ising models and connections with nonlocal minimal surfaces

Autor
Cozzi, M.; Dipierro, S.; Valdinoci, E.
Tipus d'activitat
Article en revista
Revista
Journal of statistical physics
Data de publicació
2017-04-07
Pàgina inicial
1
Pàgina final
51
DOI
https://doi.org/10.1007/s10955-017-1783-1 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/103946 Obrir en finestra nova
URL
https://link.springer.com/article/10.1007%2Fs10955-017-1783-1 Obrir en finestra nova
Resum
This paper contains three types of results:the construction of ground state solutions for a long-range Ising model whose interfaces stay at a bounded distance from any given hyperplane,the construction of nonlocal minimal surfaces which stay at a bounded distance from any given hyperplane,the reciprocal approximation of ground states for long-range Ising models and nonlocal minimal surfaces.In particular, we establish the existence of ground state solutions for long-range Ising models with plane...
Citació
Cozzi, M., Dipierro, S., Valdinoci, E. Planelike interfaces in long-range ising models and connections with nonlocal minimal surfaces. "Journal of statistical physics", 7 Abril 2017, p. 1-51.
Paraules clau
Ising models, Long-range interactions, Nonlocal minimal surfaces, Phase transitions, Planelike minimizers, Spin models
Grup de recerca
EDP - Equacions en Derivades Parcials i Aplicacions

Participants

  • Cozzi, Matteo  (autor)
  • Dipierro, Serena  (autor)
  • Valdinoci, Enrico  (autor)

Arxius