Lucas Affonso

activity

20222025

most citedQuantum Statistical Mechanics via Boundary Conditions. A Groupoid Approach to Quantum Spin Systems

2 citations · 2 across the 4 of their papers we have counts for

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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 $α = 2$ , we give a proof via contours of phase transition in the one-dimensional long-range ferromagneti…

math-ph2024

Phase Transition in Long-Range $q -$ state Models via Contours. Clock and Potts Models with Fields

Lucas Affonso, Rodrigo Bissacot, Gilberto Faria +1

Using the group structure of the state space of $q -$ state models, a new definition of contour for long-range spin-systems in $Z^{d}$ ( $d \geq 2$ ), and a multidimensional version of F…

Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours

Phase Transition in Long-Range q−state Models via Contours. Clock and Potts Models with Fields

Phase Transition in Long-Range $q -$ state Models via Contours. Clock and Potts Models with Fields