We study a two-dimensional, nonreciprocal XY model, where each spin interacts only with
its nearest neighbors in a certain angle around its current orientation, ie, its “vision cone.” …

Polarization of opinions is a societal threat. It involves psychological processes as well as
group dynamics, a popular topic in statistical physics. However, the interaction between the …

Systems with non-reciprocal interactions generically display time-dependent states. These
are routinely observed in finite systems, from neuroscience to active matter, in which globally …

Non-reciprocal interactions in many-body systems lead to time-dependent states, commonly
observed in biological, chemical, and ecological systems. The stability of these states in the …

Understanding nonequilibrium systems and the consequences of irreversibility for the
system's behavior as compared to the equilibrium case, is a fundamental question in …

Motivated by the anisotropic interactions between fish, we implement spatially anisotropic
and therefore non-reciprocal interactions in the 2D Ising model. First, we show that the …

Many social, technological, and biological systems with asymmetric interactions display a
variety of collective phenomena, such as opinion formation and synchronization. This has …

Using a single-site mean-field approximation (MFA) and Monte Carlo simulations, we
examine Ising-like models on directed regular random graphs. The models are directed …

The second law of thermodynamics can be formulated as a restriction on the evolution of the
entropy of any system undergoing Markovian dynamics. Here I show that this form of the …

We examine some agreement-dynamics models that are placed on directed random graphs.
In such systems, a fraction of sites $\exp (-z) $, where z is the average degree, become …