Carregant...
Tipus de document
Treball de fi de màsterData de publicació
Llicència de publicació
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/206700
Statistical Mechanics of non−reciprocally interacting Ising spins
Títol de la revista
Autors
Director/Tutor
ISSN de la revista
Títol del volum
Recurs relacionat
Resum
Non−reciprocal interactions are present in a large number of out−of−equilibrium systems such as active matter, social, ecological and non−Hermitian quantum systems. They are believed to be responsible for non−equilibrium phase transitions and are, still, an open topic of major interest in recent research. In this work, we present a generalization of the Ising model that includes non−reciprocal interactions among spins and analytically characterize the mean field stationary behaviour of two proposed models that incorporate non−reciprocal interactions. We show how the models exhibit a first order phase transition and how their mean field solutions are no longer spin−inversion symmetric. Furthermore, we also study d = 1 spin chains with nearest neighbours interactions, and derive the evolution equations for the first two moments. Finally, we
discuss the dynamical equations for the proposed models. The derived dynamic equations signal the presence of steady currents, e.g. traveling states, in non−reciprocally interacting spin chains.
Descripció
Treballs Finals de Màster en Física dels Sistemes Complexos i Biofísica, Facultat de Física, Universitat de Barcelona. Curs: 2022-2023. Tutor:Demian Levis
Matèries (anglès)
Citació
Citació
GARCÉS ORTIZ, Adrià. Statistical Mechanics of non−reciprocally interacting Ising spins. [consulta: 14 de gener de 2026]. [Disponible a: https://hdl.handle.net/2445/206700]