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We review the critical behavior of nonequilibrium systems, such as directed percolation (DP) and branching-annihilating random walks (BARW), which possess phase transitions into absorbing states. After reviewing the bulk scaling behavior of…

Statistical Mechanics · Physics 2009-11-07 P. Frojdh , M. Howard , K. B. Lauritsen

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

Hyperuniformity, whereby the static structure factor (or density correlator) obeys $S(q)\sim q^{\varsigma}$ with $\varsigma> 0$, emerges at criticality in systems having multiple absorbing states, such as periodically sheared suspensions.…

Statistical Mechanics · Physics 2023-10-27 Xiao Ma , Johannes Pausch , Michael E. Cates

It has been well established that spatially extended, bistable systems that are driven by an oscillating field exhibit a nonequilibrium dynamic phase transition (DPT). The DPT occurs when the field frequency is on the order of the inverse…

Statistical Mechanics · Physics 2007-05-23 G. Korniss , P. A. Rikvold , M. A. Novotny

We study the phase transition between the Coulomb liquid and the columnar crystal in the 3D classical dimer model, which was found to be continuous in the O(3) universality class. In addition to nearest neighbor interactions which favor…

Strongly Correlated Electrons · Physics 2011-08-12 Stefanos Papanikolaou , Joseph J. Betouras

We describe a phase transition in continuum limits of interacting particle systems that exhibits a vertical bifurcation diagram. The transition is mediated by a competition short-range repulsion and long-range attraction. As a consequence…

Dynamical Systems · Mathematics 2025-07-15 Arnd Scheel , Angela Stevens

We review the field theory approach to percolation processes. Specifically, we focus on the so-called simple and general epidemic processes that display continuous non-equilibrium active to absorbing state phase transitions whose asymptotic…

Statistical Mechanics · Physics 2009-11-10 Hans-Karl Janssen , Uwe C. Tauber

The Anderson metal-insulator transition is a continuous phase transition driven by disorder. It remains a challenging problem to theoretically determine universal critical properties at the transition. The Anderson transition in a model…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. W. Brouwer , A. Furusaki , C. Mudry , S. Ryu

Universality, where microscopic details become irrelevant, takes place in thermodynamic phase transitions. The universality is captured by a singular scaling function of the thermodynamic variables, where the scaling exponents are…

Statistical Mechanics · Physics 2018-11-16 Ohad Shpielberg , Takahiro Nemoto , João Caetano

We consider ballistic annihilation, a model for chemical reactions first introduced in the 1980's physics literature. In this particle system, initial locations are given by a renewal process on the line, motions are ballistic - i.e. each…

Probability · Mathematics 2022-06-14 John Haslegrave , Vladas Sidoravicius , Laurent Tournier

A problem of the crossover from percolation to diffusion transport is considered. A general scaling theory is proposed. It introduces phenomenologically four critical exponents which are connected by two equations. One exponent is…

Condensed Matter · Physics 2009-10-31 D. N. Tsigankov , A. L. Efros

We show that particle transport in a uniform, quantum multi-baker map, is generically ballistic in the long time limit, for any fixed value of Planck's constant. However, for fixed times, the semi-classical limit leads to diffusion. Random…

Quantum Physics · Physics 2009-11-07 Daniel K. Wojcik , J. R. Dorfman

Understanding the universal properties of non-equilibrium phase transitions of spreading processes is a challenging problem. This applies in particular to irregular and dynamically varying networks. We here investigate an experimentally…

The second-order phase transitions in the Ising model and liquid-gas systems share a universality class and critical exponents, despite the absence of $Z_2$ symmetry in the liquid-gas Hamiltonian. This discrepancy highlights a central…

Statistical Mechanics · Physics 2025-12-10 Xinyang Li , Yuliang Jin

Recently, the quantum contact process, in which branching and coagulation processes occur both coherently and incoherently, was theoretically and experimentally investigated in driven open quantum spin systems. In the semi-classical…

Statistical Mechanics · Physics 2020-02-21 Minjae Jo , B. Kahng

We study a solid-on-solid model for depinning transitions of two directed heteropolymers with an effective long range interaction decaying as the inverse square of their distance. Exact calculations of the localization length and specific…

Statistical Mechanics · Physics 2007-05-23 Domenico Suppa

We examine the role of boundaries and the structure of nontrivial duality functions for three non conservative interacting particle systems in one dimension that model epidemic spreading: (i) the diffusive contact process (DCP), (ii) a…

Probability · Mathematics 2025-11-11 Chiara Franceschini , Ellen Saada , Gunter M. Schütz , Sonia Velasco

An indispensable ingredient for pair density wave (PDW) superconductivity is the presence of an attractive pairing interaction at finite momentum. Here, we show how this condition can be met with straightforward electron-density…

Superconductivity · Physics 2024-10-16 Nicole Sabina Ticea , Srinivas Raghu , Yi-Ming Wu

We present molecular dynamics (MD) simulations results for dense fluids of ultrasoft, fully-penetrable particles. These are a binary mixture and a polydisperse system of particles interacting via the generalized exponential model, which is…

Soft Condensed Matter · Physics 2012-12-24 Daniele Coslovich , Marco Bernabei , Angel J. Moreno

The one-dimensional kinetic contact process with parallel update is introduced and studied by the mean-field approximation and Monte Carlo (MC) simulations. Contrary to a more conventional scenario with single active phase for 1d models…

Statistical Mechanics · Physics 2015-03-17 P. N. Timonin , G. Y. Chitov