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Related papers: Universality classes and critical phenomena in con…

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In this paper, we study the critical behavior of percolation on a configuration model with degree distribution satisfying an infinite second-moment condition, which includes power-law degrees with exponent $\tau \in (2,3)$. It is well known…

Probability · Mathematics 2020-07-01 Souvik Dhara , Remco van der Hofstad , Johan S. H. van Leeuwaarden

We revisit the universal behavior of crystalline membranes at and below the crumpling transition, which pertains to the mechanical properties of important soft and hard matter materials, such as the cytoskeleton of red blood cells or…

Statistical Mechanics · Physics 2016-02-17 R. Cuerno , R Gallardo Caballero , A. Gordillo-Guerrero , P. Monroy , J. J. Ruiz-Lorenzo

Universality aids consistent understanding of physical properties. This includes understanding the states of matter where a theory predicts how a property of a phase (solid, liquid, gas) changes with temperature or pressure. Here, we show…

Statistical Mechanics · Physics 2022-08-17 Cillian Cockrell , Kostya Trachenko

Diffusion-coagulation can be simply described by a dynamic where particles perform a random walk on a lattice and coalesce with probability unity when meeting on the same site. Such processes display non-equilibrium properties with strong…

Statistical Mechanics · Physics 2018-03-13 L. Turban , J. -Y. Fortin

The complex behavior of confined fluids arising due to a competition between layering and local packing can be disentangled by considering quasi-confined liquids, where periodic boundary conditions along the confining direction restore…

Soft Condensed Matter · Physics 2020-09-03 Lukas Schrack , Charlotte F. Petersen , Gerhard Jung , Michele Caraglio , Thomas Franosch

We postulate the existence of universal crossover functions connecting the universal parts of the entanglement entropy to the low temperature thermal entropy in gapless quantum many-body systems. These scaling functions encode the intuition…

Strongly Correlated Electrons · Physics 2013-05-30 Brian Swingle , T. Senthil

We study single-file diffusion on a one-dimensional lattice with a random fractal distribution of hopping rates. For finite lattices, this problem shows three clearly different regimes, namely, nearly independent particles, highly…

Statistical Mechanics · Physics 2017-03-08 L. Padilla , H. O. Mártin , J. L. Iguain

One of the most impressive features of continuous phase transitions is the concept of universality, that allows to group the great variety of different critical phenomena into a small number of universality classes. All systems belonging to…

Statistical Mechanics · Physics 2009-11-11 S. Lubeck

Non-universal scale transformations of the physical fields are extended to pure quantum fluids and used to calculate susceptibility, specific heat and the order parameter along the critical isochore of He3 near its liquid-vapor critical…

Statistical Mechanics · Physics 2007-05-23 Yves Garrabos

While network abrupt breakdowns due to overloads and cascading failures have been studied extensively, the critical exponents and the universality class of such phase transitions have not been discussed. Here, we study breakdowns triggered…

Physics and Society · Physics 2024-03-07 Ignacio A. Perez , Dana Ben Porath , Cristian E. La Rocca , Lidia A. Braunstein , Shlomo Havlin

Extending mode-coupling theory, we elaborate a microscopic theory for the glass transition of liquids confined between two parallel flat hard walls. The theory contains the standard MCT equations in bulk and in two dimensions as limiting…

Soft Condensed Matter · Physics 2010-09-15 Simon Lang , Vitalie Botan , Martin Oettel , David Hajnal , Thomas Franosch , Rolf Schilling

Continuous phase transitions are catalogued into universality classes, families of systems having identical values of all the exponents governing the critical behaviour of their different physical properties. Numerical simulations have been…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. O. Mari , I. A. Campbell

Percolation is a concept widely used in many fields of research and refers to the propagation of substances through porous media (e.g., coffee filtering), or the behaviour of complex networks (e.g., spreading of diseases). Percolation…

Soft Condensed Matter · Physics 2015-12-02 Wolf B. Dapp , Martin H. Müser

Entanglement transitions in quantum dynamics present a novel class of phase transitions in non-equilibrium systems. When a many-body quantum system undergoes unitary evolution interspersed with monitored random measurements, the…

Quantum Physics · Physics 2021-10-08 Oliver Lunt , Marcin Szyniszewski , Arijeet Pal

Certain frustrated systems, including spin ice and dimer models, exhibit a Coulomb phase at low temperatures, with power-law correlations and fractionalized monopole excitations. Transitions out of this phase, at which the effective gauge…

Statistical Mechanics · Physics 2012-08-09 Stephen Powell

At a continuous transition into a nonunique absorbing state, particle systems may exhibit nonuniversal critical behavior, in apparent violation of hyperscaling. We propose a generalized scaling theory for dynamic critical behavior at a…

Condensed Matter · Physics 2009-10-22 J. F. F. Mendes , Ronald Dickman , Malte Henkel , M. Ceu Marques

Quantum critical (QC) phase transitions generally lead to the absence of quasiparticles. The resulting correlated quantum fluid, when thermally excited, displays rich universal dynamics. We establish non-perturbative constraints on the…

Strongly Correlated Electrons · Physics 2015-04-30 William Witczak-Krempa

The one-dimensional pair contact process with diffusion (PCPD), an interacting particle system with diffusion, pair annihilation, and creation by pairs, has defied a consensus about the universality class that it belongs to. An argument by…

Statistical Mechanics · Physics 2017-09-20 Su-Chan Park

We consider a one-dimensional system of particles, moving at constant velocities chosen independently according to a symmetric distribution on $\{-1,0,+1\}$, and annihilating upon collision -- with, in case of triple collision, a uniformly…

Probability · Mathematics 2022-01-05 John Haslegrave , Laurent Tournier

While equilibrium interfaces display universal large-scale statistics, interfaces in phase-separated active and driven systems are predicted to belong to distinct non-equilibrium universality classes. Yet, such behavior has proven difficult…

Statistical Mechanics · Physics 2026-04-08 Raphaël Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi