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Numerous soft materials jam into an amorphous solid at high packing fraction. This non-equilibrium phase transition is best understood in the context of a model system in which particles repel elastically when they overlap. Recently,…

Soft Condensed Matter · Physics 2020-08-26 Dion J. Koeze , Lingtjien Hong , Abhishek Kumar , Brian P. Tighe

Unveiling universal non-equilibrium scaling laws has been a central theme in modern statistical physics, with recent attention increasingly directed toward non-equilibrium phases that exhibit rich dynamical phenomena. A striking example…

Statistical Mechanics · Physics 2025-12-15 Shuoguang Liu , Peter B. Littlewood , Ryo Hanai

We present a general scaling theory for the surface critical behavior of non-equilibrium systems with phase transitions into absorbing states. The theory allows for two independent surface exponents which satisfy generalized hyperscaling…

Statistical Mechanics · Physics 2009-10-31 K. B. Lauritsen , P. Frojdh , M. Howard

These lectures provide a pedagogical introduction to the theory of continuous quantum phase transitions. Various two-dimensional condensed matter systems, such as a superconducting film, a quantum Hall liquid, and an array of Josephson…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel

We provide a review on the physics associated with phase transitions in which continuous scale invariance is broken into discrete scale invariance. The rich features of this transition characterized by the abrupt formation of a geometric…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Omrie Ovdat , Eric Akkermans

We investigate a system of harmonically coupled identical nonlinear constituents subject to noise in different spatial arrangements. For global coupling we find for infinitely many constituents the coexistence of several ergodic components…

adap-org · Physics 2009-10-30 R. Muller , K. Lippert , A. Kuhnel , U. Behn

We introduce a model for stochastic transport on a one-dimensional substrate with particles assuming different conformations during their stepping cycles. These conformations correspond to different footprints on the substrate: in order to…

Statistical Mechanics · Physics 2019-06-26 Yvan Rousset , Luca Ciandrini , Norbert Kern

The emergence of particle irreversibility in periodically driven colloidal suspensions has been interpreted as resulting either from a nonequilibrium phase transition to an absorbing state or from the chaotic nature of particle…

Statistical Mechanics · Physics 2015-04-10 Elsen Tjhung , Ludovic Berthier

The role of quantum fluctuations in modifying the critical behavior of non-equilibrium phase transitions is a fundamental but unsolved question. In this study, we examine the absorbing state phase transition of a 1D chain of qubits…

Statistical Mechanics · Physics 2024-07-02 Nastasia Makki , Nicolai Lang , Hans Peter Büchler

Scaling ideas and renormalization group approaches proved crucial for a deep understanding and classification of critical phenomena in thermal equilibrium. Over the past decades, these powerful conceptual and mathematical tools were…

Statistical Mechanics · Physics 2017-03-29 Uwe C. Täuber

First-order irreversible phase transitions (IPT's) between an active regime and an absorbing state are studied in two models by means of both simulations and mean-field stability analysis. Hysteresis around coexistence is the result of the…

Statistical Mechanics · Physics 2007-05-23 Roberto A. Monetti , Alejandro Rozenfeld , Ezequiel V. Albano

Two generically different but universal dynamical quantum many-body behaviors are discovered by probing the stability of trapped fragmented bosonic systems with strong repulsive finite/long range inter-particle interactions. We use…

Quantum Gases · Physics 2014-10-21 Oksana I. Streltsova , Ofir E. Alon , Lorenz S. Cederbaum , Alexej I. Streltsov

Phase transitions to absorbing states are among the simplest examples of critical phenomena out of equilibrium. The characteristic feature of these models is the presence of a fluctuationless configuration which the dynamics cannot leave,…

We consider the propagation of a single particle in a random chain, assisted by the coupling to dispersive bosons. Time evolution treated with rate equations for hopping between localized states reveals a qualitative difference between…

Strongly Correlated Electrons · Physics 2018-10-04 P. Prelovsek , J. Bonca , M. Mierzejewski

The quantum phase transitions in the one-dimensional asymmetric Hubbard model are investigated with the bosonization approach. The conditions for the phase transition from density wave to phase separation, the correlation functions and…

Strongly Correlated Electrons · Physics 2009-11-13 Z. G. Wang , Y. G. Chen , S. J. Gu

This article contains our comments and views on the status of the current understanding of phase transitions in systems with only hard-core interactions, based on our work in this area. The equation of state for the hard sphere gas in…

Statistical Mechanics · Physics 2023-07-13 Deepak Dhar , R. Rajesh , Aanjaneya Kumar

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

We study nonequilibrium phase transitions in a mass-aggregation model which allows for diffusion, aggregation on contact, dissociation, adsorption and desorption of unit masses. We analyse two limits explicitly. In the first case mass is…

Statistical Mechanics · Physics 2009-10-31 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

Boundary conditions may change the phase diagram of non-equilibrium statistical systems like the one-dimensional asymmetric simple exclusion process with and without particle number conservation. Using the quantum Hamiltonian approach, the…

High Energy Physics - Theory · Physics 2009-10-22 Malte Henkel , Gunter Schütz

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