The modified finite-size scaling (for dimensions d ⩾ d, where d is the upper critical dimensionality) is verified in the closed vicinity of both the classical and the quantum multicritical points by the example of a quantum model for an anharmonic cyrstal, confined to a fully finite (block)...

Correlations and other collective phenomena are considered in a schematic model of pairwise interacting, competing and collaborating agents facing a binary choice and situated at the nodes of the complete graph and a 2-dimensional regular lattice, respectively. The agents may be subjected to an...

Evidence for Ziegler’s principle of maximum entropy production has been accumulated from different fields such as climatic studies, crystal growth, dynamics of ecosystems and cellular metabolism. However, Ziegler’s principle is still seen with scepticism by the scientific community. The...

The collective behavior of locally coupled-map lattices is investigated when the connections are defined on fractal geometries, such as generalized Sierpinski gaskets embedded in d-dimensional Euclidean spaces. The collective states are described through the mean fields of the networks. Periodic...

We discuss the relation between ensemble and time averages for quasistationary states of low-dimensional symplectic maps that present remarkable analogies with similar states detected in many-body long-range-interacting Hamiltonian systems.

Hydrodynamics equations derived directly from Boltzmann’s equation and specialized to sheared planar flow are shown to yield approximate nonlinear laws of heat transport and of viscous flow. The law of viscous flow predicts non-Newtonian effects including shear thinning and the law of heat...

A statistical mechanical approach for investigating ensembles of fluid deformable droplets submerged in an immiscible liquid is suggested. The main emphasis is on the effect of long-range forces as electrostatic and van der Waals, that is why the result are most relevant to oil in water...

We study Hopfield neural networks with infinite connectivity using signal-to-noise analysis with a formulation of the dynamics in terms of transition probabilities. We focus our study on models where the strongest effects of the feedback correlations appear. We introduce an analysis of the path...