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Recently, it has been suggested that operational properties connected to quantum computation can be alternative indicators of quantum phase transitions. In this work we systematically study these operational properties in 1D systems that…

Strongly Correlated Electrons · Physics 2014-07-01 Helena Braganca , Eduardo Mascarenhas , G. I. Luiz , C. Duarte , R. G. Pereira , M. F. Santos , M. C. O. Aguiar

Percolation processes on random networks have been the subject of intense research activity over the last decades: the overall phenomenology of standard percolation on uncorrelated and unclustered topologies is well known. Still some…

Statistical Mechanics · Physics 2024-12-06 Lorenzo Cirigliano , Gábor Timár , Claudio Castellano

We investigate the scaling properties of phase transitions between survival and extinction (active-to-absorbing state phase transition, AAPT) in a model, that by itself belongs to the directed percolation (DP) universality class,…

Statistical Mechanics · Physics 2012-08-22 Niladri Sarkar , Abhik Basu

We study systems with a continuous phase transition that tune their parameters to maximize a quantity that diverges solely at a unique critical point. Varying the size of these systems with dynamically adjusting parameters, the same…

Statistical Mechanics · Physics 2011-03-24 Ole Peters , Michelle Girvan

We present a self-contained discussion of the universality classes of the generalized epidemic process (GEP) on Poisson random networks, which is a simple model of social contagions with cooperative effects. These effects lead to rich phase…

Statistical Mechanics · Physics 2016-05-11 Kihong Chung , Yongjoo Baek , Meesoon Ha , Hawoong Jeong

We study the dynamics of an interface (active domain) between different absorbing regions in models with two absorbing states in one dimension; probabilistic cellular automata models and interacting monomer-dimer models. These models…

Statistical Mechanics · Physics 2009-10-31 Sungchul Kwon , WonMuk Hwang , Hyunggyu Park

Phenomena analogous to ground state quantum phase transitions have recently been noted to occur among states throughout the excitation spectra of certain many-body models. These excited state phase transitions are manifested as simultaneous…

Quantum Physics · Physics 2008-05-06 M. A. Caprio , P. Cejnar , F. Iachello

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

We apply the generalized Wigner function formalism to detect and characterize a range of quantum phase transitions in several cyclic, finite-length, spin-$\frac{1}{2}$ one-dimensional spin-chain models, viz., the Ising and anisotropic $XY$…

Quantum Physics · Physics 2023-10-03 N. M. Millen , R. P. Rundle , J. H. Samson , Todd Tilma , R. F. Bishop , M. J. Everitt

By performing a high-statistics simulation of the $D=4$ random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high…

Disordered Systems and Neural Networks · Physics 2016-06-07 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

We investigate flow dynamics in rivers characterized by basin areas and daily mean discharge spanning different orders of magnitude. We show that the delayed increments evaluated at time scales ranging from days to months can be opportunely…

Adaptation and Self-Organizing Systems · Physics 2015-05-20 M. De Domenico , V. Latora

Recent theoretical studies have predicted the existence of caustics in many-body quantum dynamics, where they manifest as extended regions of enhanced probability density that obey temporal and spatial scaling relations. Focusing on the…

Quantum Physics · Physics 2024-10-10 Monalisa Singh Roy , Jesse Mumford , D. H. J. O'Dell , Emanuele G. Dalla Torre

Many systems that can be described in terms of diffusion-limited `chemical' reactions display non-equilibrium continuous transitions separating active from inactive, absorbing states, where stochastic fluctuations cease entirely. Their…

Statistical Mechanics · Physics 2015-06-24 Uwe C. Tauber

The analysis of the radial distribution function of a system provides a possible procedure for uncovering interaction rules between individuals out of collective movement patterns. This approach from classical statistical mechanics has…

Soft Condensed Matter · Physics 2021-09-09 Javier Cristín , Vicenç Méndez , Daniel Campos

In topological insulators and topological superconductors, the discrete jump of the topological invariant upon tuning a certain system parameter defines a topological phase transition. A unified framework is employed to address the quantum…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Wei Chen , Andreas P. Schnyder

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

Spin-crossover has a wide range of applications from memory devices to sensors. This has to do mainly with the nature of the transition, which may be abrupt, gradual or incomplete and may also present hysteresis. This transition alters the…

Strongly Correlated Electrons · Physics 2019-07-10 J. Quetzalcoatl Toledo-Marin , Carlos Rodriguez , Yosdel Plasencia Montesino , Gerardo G. Naumis

Critical phenomena on scale-free networks with a degree distribution $p_k \sim k^{-\lambda}$ exhibit rich finite-size effects due to its structural heterogeneity. We systematically study the finite-size scaling of percolation and identify…

Statistical Mechanics · Physics 2025-08-29 Xuewei Zhao , Liwenying Yang , Dan Peng , Run-Ran Liu , Ming Li

I investigate the quantum phase transition of the transverse-field quantum Ising model in which nearest neighbors are defined according to the connectivity of scale-free networks. Using a continuous-time quantum Monte Carlo simulation…

Statistical Mechanics · Physics 2015-06-23 Hangmo Yi

Second-order phase transitions are characterised by critical scaling and universality. The singular behaviour of thermodynamic quantities at the transition, in particular, is determined by critical exponents of the universality class of the…