https://doi.org/10.1140/epjb/s10051-022-00281-5
Regular Article - Statistical and Nonlinear Physics
Anomalous dynamical large deviations of local empirical densities and activities in the pure and in the random kinetically constrained East model
Institut de Physique Théorique, Université Paris Saclay, CNRS, CEA, 91191, Gif-sur-Yvette, France
Received:
22
November
2021
Accepted:
13
January
2022
Published online:
15
February
2022
The East model is the simplest one-dimensional kinetically constrained model of N spins with a trivial equilibrium that displays anomalously large spatio-temporal fluctuations, with characteristic “space-time bubbles” in trajectory space, and with a discontinuity at the origin for the first derivative of the scaled cumulant generating function of the total activity. These striking dynamical properties are revisited via the large deviations at various levels for the relevant local empirical densities and activities that only involve two consecutive spins. This framework allows to characterize their anomalous rate functions and to analyze the consequences for all the time-additive observables that can be reconstructed from them, both for the pure and for the random East model. These singularities in dynamical large deviations properties disappear when the hard constraint of the East model is replaced by the soft constraint.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022
