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The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

Statistical Mechanics · Physics 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

Symmetry-breaking phase transitions are ubiquitous in condensed matter systems and in quantum field theories. There is also good reason to believe that they feature in the very early history of the Universe. At many such transitions…

Condensed Matter · Physics 2007-05-23 T. W. B. Kibble

We study various dynamical aspects of systems possessing a first order phase transition in their phase diagram. We isolate three qualitatively distinct types of theories depending on the structure of instabilities and the nature of the low…

High Energy Physics - Theory · Physics 2019-11-05 Loredana Bellantuono , Romuald A. Janik , Jakub Jankowski , Hesam Soltanpanahi

We give an introduction to phase transitions in the steady states of systems that evolve stochastically with equilibrium and nonequilibrium dynamics, the latter defined as those that do not possess a time-reversal symmetry. We try as much…

Statistical Mechanics · Physics 2009-11-11 R. A. Blythe

We consider spontaneous symmetry breaking transitions of strongly interacting two-dimensional Dirac fermions minimally coupled to mass and emergent gauge field order parameters. Using a renormalization group analysis, we show that the…

Strongly Correlated Electrons · Physics 2020-04-20 Elliot Christou , Fernado de Juan , Frank Krüger

We study a system involving a single quantum degree of freedom per site of the lattice interacting with a few neighbors (up to second neighbors), with the interactions chosen as to produce frustration. At zero temperature, this system…

Statistical Mechanics · Physics 2021-09-29 Heitor Casasola , Carlos A. Hernaski , Pedro R. S. Gomes , Paula F. Bienzobaz

Driven diffusive systems may undergo phase transitions to sustain atypical values of the current. This leads in some cases to symmetry-broken space-time trajectories which enhance the probability of such fluctuations. Here we shed light on…

Statistical Mechanics · Physics 2018-12-19 Carlos Pérez-Espigares , Federico Carollo , Juan P. Garrahan , Pablo I. Hurtado

We investigate the steady-state phases of the one-dimensional quantum contact process model. We present the Liouvillian gap in the thermodynamic limit and uncover the metastability of the system. Exploiting the mean-field approximations…

Quantum Physics · Physics 2026-02-06 Lin Shang , Shuai Geng , Xingli Li , Jiasen Jin

We study singularities in the large deviation function of the time-averaged current of diffusive systems connected to two reservoirs. A set of conditions for the occurrence of phase transitions, both first and second order, are obtained by…

Statistical Mechanics · Physics 2022-08-31 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

We consider spin systems with long-range interactions in nonadditive regime. When the non-additive scaling limit is employed, the energy and the entropy compete and the system exhibits some phase transitions. Such systems do not satisfy the…

Statistical Mechanics · Physics 2013-10-15 Takashi Mori

Systems with long-range interactions display a short-time relaxation towards Quasi-Stationary States (QSSs), whose lifetime increases with system size. With reference to the Hamiltonian Mean Field (HMF) model, we here review Lynden-Bell's…

Statistical Mechanics · Physics 2016-11-23 Pierre-Henri Chavanis , Giovanni De Ninno , Duccio Fanelli , Stefano Ruffo

The Contact Process has been studied on complex networks exhibiting different kinds of quenched disorder. Numerical evidence is found for Griffiths phases and other rare region effects, in Erd\H os R\'enyi networks, leading rather…

Statistical Mechanics · Physics 2013-03-27 Géza Ódor

We find novel phase transitions and critical phenomena that occur only outside the linear-response regime of current-driven nonequilibrium states. We consider the strongly-interacting (3+1)-dimensional N=4 large-Nc SU(Nc) supersymmetric…

High Energy Physics - Theory · Physics 2015-06-04 Shin Nakamura

Entanglement phase transitions in quantum chaotic systems subject to projective measurements and in random tensor networks have emerged as a new class of critical points separating phases with different entanglement scaling. We propose a…

Statistical Mechanics · Physics 2020-08-12 Javier Lopez-Piqueres , Brayden Ware , Romain Vasseur

Recently, new strongly interacting phases have been uncovered in mesoscopic systems with chaotic scattering at the boundaries by two of the present authors and R. Shankar. This analysis is reliable when the dimensionless conductance of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Damir Herman , Harsh Mathur , Ganpathy Murthy

A two-dimensional Heisenberg model with random antiferromagnetic nearest-neighbor exchange is studied using quantum Monte Carlo techniques. As the strength of the randomness is increased, the system undergoes a transition from an…

Condensed Matter · Physics 2009-10-22 Anders W. Sandvik , Marco Vekic

This article surveys some of the work done in recent years on random simplicial complexes. We mostly consider higher-dimensional analogs of the well known phase transition in $G(n, p)$ theory that occurs at $p = \frac 1n$ . Our main…

Combinatorics · Mathematics 2016-09-06 Nati Linial , Yuval Peled

We consider symmetron model in a generalized background with a hope to make it compatible with dark energy. We observe a "no go" theorem at least in case of a conformal coupling. Being convinced of symmetron incapability to be dark energy,…

High Energy Physics - Theory · Physics 2015-06-12 K. Bamba , R. Gannouji , M. Kamijo , S. Nojiri , M. Sami

We analyze an anisotropic spin 1/2 two legs ladder in the presence of various type of random perturbations. The generic phase diagram for the pure system, in a way similar to spin one chains, consists of four phases: an Antiferromagnet, a…

Strongly Correlated Electrons · Physics 2009-10-30 E. Orignac , T. Giamarchi

A nonequilibrium Potts-like model with $q$ absorbing states is studied using Monte Carlo simulations. In two dimensions and $q=3$ the model exhibits a discontinuous transition. For the three-dimensional case and $q=2$ the model exhibits a…

Statistical Mechanics · Physics 2009-11-07 A. Lipowski , M. Droz
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