Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields |
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| Authors: | Rodrigo Bissacot Eric Ossami Endo Aernout CD van Enter |
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| Institution: | 1. Institute of Mathematics and Statistics - IME USP - University of São Paulo, Brazil;2. Johann Bernoulli Institute for Mathematics and Computer Science — University of Groningen, Netherlands;3. Department of Mathematics, Johann Bernoulli Institute for Mathematics and Computer Science — University of Groningen, Netherlands |
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| Abstract: | We consider the ferromagnetic Ising model with spatially dependent external fields on a Cayley tree, and we investigate the conditions for the existence of the phase transition for a class of external fields, asymptotically approaching a homogeneous critical external field. Our results extend earlier results by Rozikov and Ganikhodjaev. |
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| Keywords: | 82B20 05C05 82B26 Ising model Cayley tree Inhomogeneous external fields Critical field Phase transition stability |
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