Condensation phase transitions in polydisperse colloids are studied theoretically. For maximal simplification of calculations, a bidisperse model of the system, consisting of relatively big and small particles, is considered. Direct van der Waals interactions between big particles as well as...

We study the relationship between chaotic behavior and the Central Limit Theorem (CLT) in the Kuramoto model. We calculate sums of angles at equidistant times along deterministic trajectories of single oscillators and we show that, when chaos is sufficiently strong, the Pdfs of the sums tend to...

Monte Carlo simulation within the grand canonical ensemble, the histogram reweighting technique, and finite size scaling analysis are used to explore the phase behaviour of heteronuclear dimers, composed of A and B type segments, on square and triangular lattices. We have considered models with...

We study information geometry of the thermodynamics of first and second order phase transitions, and beyond criticality, in magnetic and liquid systems. We establish a universal microscopic characterization of such phase transitions via a conjectured equality of the correlation lengths ξ in...

In this paper, an accurate experimental investigation of the Mpemba effect (that is, of the fact that initially hot water freezes before the colder one) is carried out, showing that, in the adiabatic cooling of water, relevant roles are played by supercooling, and by phase transitions which take...

The problem of existence of long-range order at or close to the critical point of the quantum phase transition in the disordered antiferromagnet with hidden degrees of freedom is discussed. The influence of the constraint upon hidden degrees of freedom within the renormalization group theory is...

We establish a “Central Limit Theorem” for rank distributions, which provides a detailed characterization and classification of their universal macroscopic statistics and phase transitions. The limit theorem is based on the statistical notion of Lorenz curves, and is termed the “Lorenzian...

We present ellipsometry and interferrometry experiments which allow us to observe the transition point between the standard first-order wetting and the long-range critical wetting. Moreover we provide a direct measurement of the free-energy singularities in the sequential wetting scenario of...

We consider theoretically phase-locking transition of ultra-cold neutral atoms trapped in optical lattice where the system can be realized as the array of individual Bose–Einstein condensates of elongated vertical and horizontal N rods in a wood-pile form. In this geometry every horizontal...

The Ising model in the presence of a random field, drawn from the asymmetric and anisotropic trimodal probability distribution P(hi)=pδ(hi−h0)+qδ(hi+λ∗h0)+rδ(hi), is investigated. The partial probabilities p,q,r take on values within the interval [0,1] consistent with the constraint...