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We investigate classes of interacting systems that allow for a mapping to disordered noninteracting systems. As we show, such a mapping is possible for interacting systems with a suppressed density of states at the chemical potential,…

Mesoscale and Nanoscale Physics · Physics 2023-11-16 Shijun Sun , Sergey Syzranov

The late-time equilibrium behavior of generic interacting models is determined by the coupled hydrodynamic equations associated with the globally conserved quantities. In the presence of an external time-dependent drive, non-integrable…

Strongly Correlated Electrons · Physics 2025-06-10 Haoyu Guo , Rohit Mukherjee , Debanjan Chowdhury

The dynamics of a binary system with non conserved order parameter under a plain shear flow with rate $\gamma $ is solved analytically in the large-N limit. A phase transition is observed at a critical temperature $T_c(\gamma)$. After a…

Statistical Mechanics · Physics 2009-11-07 Federico Corberi , Giuseppe Gonnella , Eugenio Lippiello , Marco Zannetti

We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two…

Statistical Mechanics · Physics 2014-11-20 P. Strack , P. Jakubczyk

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

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

By considering a solvable driven-dissipative quantum model, we demonstrate that continuous second order phase transitions in dissipative systems may occur without an accompanying spontaneous symmetry breaking. As such, the underlying…

Quantum Physics · Physics 2018-10-24 Julia Hannukainen , Jonas Larson

Enormous advances have been made in the past 20 years in our understanding of the random-field Ising model, and there is now consensus on many aspects of its behavior at least in thermal equilibrium. In contrast, little is known about its…

Statistical Mechanics · Physics 2022-12-23 Manoj Kumar , Varsha Banerjee , Sanjay Puri , Martin Weigel

We show that, contrary to previous suggestions based on computer simulations or erroneous theoretical treatments, the critical points of the random-field Ising model out of equilibrium, when quasi-statically changing the applied source at…

Statistical Mechanics · Physics 2018-03-21 Ivan Balog , Gilles Tarjus , Matthieu Tissier

The exact large deviation function (ldf) for the fluctuations of the energy density field is computed for a chain of Ising (or more generally Potts) spins driven by a zero-temperature (dissipative) Glauber dynamics and sustained in a non…

Statistical Mechanics · Physics 2009-11-10 Jean Farago

We obtain the steady-state phase diagram of a transverse field XY spin chain coupled at its ends to magnetic reservoirs held at different magnetic potentials. In the long-time limit, the magnetization bias across the system generates a…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Tharnier O. Puel , Stefano Chesi , Stefan Kirchner , Pedro Ribeiro

The nonequilibrium phase transition in the triplet-creation model is investigated using critical spreading and the conservative diffusive contact process. The results support the claim that at high enough diffusion the phase transition…

Statistical Mechanics · Physics 2009-11-11 Giovano O. Cardozo , Jose F. Fontanari

The high temperature limit of interacting spins is usually not associated with ordering or critical phenomena. Nevertheless, spontaneous fluctuations of a local spin polarization at equilibrium have nontrivial dynamics even in this limit.…

Statistical Mechanics · Physics 2023-07-03 V. N. Gorshkov , N. A. Sinitsyn , D. Mozyrsky

Dynamical symmetries are of considerable importance in elucidating the complex behaviour of strongly interacting systems with many degrees of freedom. Paradigmatic examples are cooperative phenomena as they arise in phase transitions, where…

Mathematical Physics · Physics 2015-11-16 Malte Henkel

Usually, in a non-equilibrium setting, a current brings mass from the highest density regions to the lowest density ones. Although rare, the opposite phenomenon (known as "uphill diffusion") has also been observed in multicomponent systems,…

Statistical Mechanics · Physics 2018-03-28 Matteo Colangeli , Cristian Giardinà , Claudio Giberti , Cecilia Vernia

We investigate the static and dynamic critical behaviour of a uniformly driven bilayer Ising lattice gas at half filling. Depending on the strength of the interlayer coupling J, phase separation occurs across or within the two layers. The…

Statistical Mechanics · Physics 2009-11-07 U. C. Tauber , B. Schmittmann , R. K. P. Zia

Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms…

Modern experimental platforms such as supercoducting-circuit arrays call for the exploration of bosonic tight-binding models in unconventional situations with no counterpart in real materials. Here we investigate one of such situations, in…

Quantum Gases · Physics 2020-09-16 Zijian Wang , Carlos Navarrete-Benlloch , Zi Cai

A critical point of second order, belonging to the universality class of the 3d Ising model, has recently been advocated as a strong candidate for the critical behaviour (at high temperatures) of QCD with non-zero quark masses. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Antoniou , Y. F. Contoyiannis , F. K. Diakonos

Coupling a system to a nonthermal environment can profoundly affect the phase diagram of the closed system, giving rise to a special class of dissipation-induced phase transitions. Such transitions take the system out of its ground state…

Quantum Physics · Physics 2021-05-26 Matteo Soriente , Toni L. Heugel , Keita Arimitsu , R. Chitra , Oded Zilberberg
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