2 papers
math-ph2026
A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures
Rodrigo Bissacot, Henrique Corsini
In this work, a convergent low-temperature cluster expansion of the one-dimensional long-range ferromagnetic Ising model with polynomial decay is developed; that is,…
math-ph2024
Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours
Lucas Affonso, Rodrigo Bissacot, Henrique Corsini +1
Following seminal work by J. Fröhlich and T. Spencer on the critical exponent , we give a proof via contours of phase transition in the one-dimensional long-range ferromagne…