In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

This review summarizes recent developments in the theory of spin glasses, as well as
pertinent experimental data. The most characteristic properties of spin glass systems are …

Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the
research of the foundations of statistical mechanics. This generalization of the well-known …

Spin glasses are disordered magnetic systems that have led to the development of
mathematical tools with an array of real-world applications, from airline scheduling to neural …

The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical
mechanics is focused on along a historical perspective. It is then formally enlarged in order …

Debashish Chowdhury's critical review of more than a thousand papers not only identifies
the complexities involved in the theoretical understanding of the real spin glasses but also …

This paper reports the occurrence of several chimera patterns and the associated transitions
among them in a network of coupled oscillators, which are connected by a long-range …

We perform a numerical study of the long-range (LR) ferromagnetic Ising model with power
law decaying interactions (J∝ r− d− σ) on both a one-dimensional chain (d= 1) and a square …

Dimensional correspondences have a long history in critical phenomena. Here, we review
the effective dimension approach, which relates the scaling exponents of a critical system in …

We study synchronization in neuronal ensembles subject to long-range electrical gap
junctions which are time-varying. As a representative example, we consider Hindmarsh …