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In a new type of percolation phase transition, which was observed in a set of non-equilibrium models, each new connection between vertices is chosen from a number of possibilities by an Achlioptas-like algorithm. This causes preferential…

Disordered Systems and Neural Networks · Physics 2015-06-18 R. A. da Costa , S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

The nonequilibrium dynamic phase transition, in the kinetic Ising model in presence of an oscillating magnetic field, has been studied by Monte Carlo simulation. The fluctuation of dynamic order parameter has been studied as a function of…

Condensed Matter · Physics 2009-10-30 Muktish Acharyya

The paramagnetic-to-ferromagnetic phase transition is believed to proceed through a critical point, at which power laws and scaling invariance, associated with the existence of one diverging characteristic length scale -- the so called…

Statistical Mechanics · Physics 2016-03-15 N. Saratz , D. A. Zanin , U. Ramsperger , S. A. Cannas , D. Pescia , A. Vindigni

In the colour string model the impact of string percolation on multiplicities, their long-range correlations and average transverse momentum is studied. The multiplicities are shown to be damped by a simple factor which follows from the…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. A. Braun , C. Pajares

The two-dimensional (2D) random-bond Ising model has a novel multicritical point on the ferromagnetic to paramagnetic phase boundary. This random phase transition is one of the simplest examples of a 2D critical point occurring at both…

Statistical Mechanics · Physics 2009-10-28 Sora Cho , Matthew P. A. Fisher

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

High Energy Physics - Lattice · Physics 2019-06-05 Heiko Rieger , A. P. Young

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

Condensed Matter · Physics 2009-10-22 Heiko Rieger , A. P. Young

Percolation has long served as a model for diverse phenomena and systems. The percolation transition, that is, the formation of a giant cluster on a macroscopic scale, is known as one of the most robust continuous transitions. Recently,…

Statistical Mechanics · Physics 2016-12-08 Deokjae Lee , Young Sul Cho , Byungnam Kahng

It has been noticed recently that transverse momenta (p_T) distributions observed in high energy production processes exhibit remarkably universal scaling behaviour. This is the case when a suitable variable replaces the usual p_T. On the…

High Energy Physics - Phenomenology · Physics 2015-06-04 Maciej Rybczynski , Zbigniew Wlodarczyk , Grzegorz Wilk

The quantum ferromagnetic transition at zero temperature in disordered itinerant electron systems is considered. Nonmagnetic quenched disorder leads to diffusive electron dynamics that induces an effective long-range interaction between the…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

Here we present an explicit counterexample to the widely spread beliefs about an exclusive role of bimodality as the first order phase transition signal. On the basis of an exactly solvable statistical model generalizing the statistical…

Nuclear Theory · Physics 2013-04-23 V. V. Sagun , A. I. Ivanytskyi , D. R. Oliinychenko , K. A. Bugaev

Cooling methods and particle slowers as well as accelerators are basic tools for fundamental research and applications in different fields and systems. We put forward a generic mechanism to scale the momentum of a particle, regardless of…

Quantum Physics · Physics 2020-11-04 J. G. Muga , S. Martínez-Garaot , M. Pons , M. Palmero , A. Tobalina

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

Statistical Mechanics · Physics 2009-10-31 Alexander Patashinski

We show that critical systems of finite size develop a fractal structure in momentum space with anomalous dimension given in terms of the isotherm critical exponent delta of the corresponding infinite system. The associated power laws of…

High Energy Physics - Phenomenology · Physics 2016-02-17 Nikolaos G. Antoniou , Nikolaos Davis , Fotios K. Diakonos

Recently it has been demonstrated that the connectivity transition from microscopic connectivity to macroscopic connectedness, known as percolation, is generically announced by a cascade of microtransitions of the percolation order…

Disordered Systems and Neural Networks · Physics 2016-01-25 Malte Schröder , Wei Chen , Jan Nagler

A critical transition for a system modelled by a concave quadratic scalar ordinary differential equation occurs when a small variation of the coefficients changes dramatically the dynamics, from the existence of an attractor-repeller pair…

Dynamical Systems · Mathematics 2022-11-21 Iacopo P. Longo , Carmen Núñez , Rafael Obaya

The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the…

High Energy Physics - Lattice · Physics 2024-04-25 Rafael C. Torres , Nuno Cardoso , Pedro Bicudo , Pedro Ribeiro , Paul McClarty

The suitable interpolation between classical percolation and a special variant of explosive percolation enables the explicit realization of a tricritical percolation point. With high-precision simulations of the order parameter and the…

Statistical Mechanics · Physics 2011-03-07 Nuno A. M. Araujo , Jose S. Andrade , Robert M. Ziff , Hans J. Herrmann

Near a bifurcation point a system experiences critical slowing down. This leads to scaling behavior of fluctuations. We find that a periodically driven system may display three scaling regimes and scaling crossovers near a saddle-node…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. Ryvkine , M. I. Dykman , B. Golding

The dynamics of weak vs. strong first order phase transitions is investigated numerically for 2+1 dimensional scalar field models. It is argued that the change from a weak to a strong transition is itself a (second order) phase transition,…

High Energy Physics - Phenomenology · Physics 2009-10-28 Marcelo Gleiser