8 papers
Symmetric Nonlinear Cellular Automata as Algebraic References for Rule~30
E. Chan-López, A. MartÃn-Ruiz
A comparative algebraic framework for elementary cellular automata is developed, centered on the role of spatial symmetry. The primary object of study is Rule~22, the elementary ce…
Landauer-based study of transport in Chern insulator heterostructures
J. Luna-Ramos, A. MartÃn-Ruiz
We study charge transport through a trivial-topological-trivial junction described by the continuous Qi-Wu-Zhang model, which realizes a two-dimensional Chern-insulating phase. The…
Fermionic Casimir effect in an axial Lorentz-violating background
A. MartÃn-Ruiz, M. B. Cruz, E. R. Bezerra de Mello
We investigate the fermionic Casimir effect for a Dirac field confined between two parallel plates with MIT bag boundary conditions in the presence of CPT-odd Lorentz-symmetry viol…
Electromagnetic radiation mediated by topological surface states
M. Ibarra-Meneses, A. MartÃn-Ruiz
We study electromagnetic radiation from classical sources near a planar interface separating a topological and a trivial insulator, modeled within axion electrodynamics. The system…
Nullcline geometry constrains the location of oscillatory instabilities in planar predator--prey systems
E. Chan-López, E. Chan-López, A. MartÃn-Ruiz +3
We prove that the critical structure of the prey nullcline governs where oscillatory instabilities can emerge in planar predator--prey systems. For a broad class of Gause--type mod…
Probing Lorentz symmetry violation via the Casimir effect in rectangular cavities
M. B. Cruz, E. R. Bezerra de Mello, A. MartÃn-Ruiz
We investigate the Casimir effect as a probe of Lorentz symmetry violation for a real scalar field confined to a rectangular waveguide with Dirichlet boundary conditions. The field…