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We review results concerning the critical behavior of spin systems at equilibrium. We consider the Ising and the general O($N$)-symmetric universality classes, including the $N\to 0$ limit that describes the critical behavior of…

统计力学 · 物理学 2008-11-26 Andrea Pelissetto , Ettore Vicari

When a quantum system is quenched from its ground state, the time evolution can lead to non-analytic behavior in the return rate at critical times $t_c$. Such dynamical phase transitions (DPT's) can occur, in particular, for quenches…

统计力学 · 物理学 2018-02-07 N. Sedlmayr , M. Fleischhauer , J. Sirker

A macroscopic version of Einstein-Podolsky-Rosen entanglement is obtained by quenching a quadratic coupling between two O(N) vector models. A quench of the mixed vacuum produces an excited entangled state, reminiscent of purified thermal…

高能物理 - 理论 · 物理学 2019-08-30 Souvik Banerjee , Julius Engelsöy , Jorge Larana-Aragon , Bo Sundborg , Larus Thorlacius , Nico Wintergerst

We investigate the critical behaviour of the $N$-component Euclidean $\lambda \phi^4$ model at leading order in $\frac{1}{N}$-expansion. We consider it in three situations: confined between two parallel planes a distance $L$ apart from one…

数学物理 · 物理学 2009-11-11 L. M. Abreu , C. de Calan , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

We consider the influence of quenched disorder on the relaxational critical dynamics of a system characterized by a non-conserved order parameter coupled to the diffusive dynamics of a conserved scalar density (model C). Disorder leads to…

无序系统与神经网络 · 物理学 2009-11-11 M. Dudka , R. Folk , Yu. Holovatch , G. Moser

The temperature phase transition in the N-component scalar field theory with spontaneous symmetry breaking is investigated in the perturbative approach. The second Legendre transform is used together with the consideration of the gap…

高能物理 - 理论 · 物理学 2009-09-25 M. Bordag , V. Skalozub

We introduce and study the disordered Dicke model in which the spin-boson couplings are drawn from a random distribution with some finite width. Regarding the quantum phase transition we show that when the standard deviation $\sigma$ of the…

统计力学 · 物理学 2023-08-28 Pragna Das , Sebastian Wüster , Auditya Sharma

We study the critical behavior and phase diagram of the $d$-dimensional random field O(N) model by means of the nonperturbative functional renormalization group approach presented in the preceding paper. We show that the dimensional…

统计力学 · 物理学 2011-07-20 Matthieu Tissier , Gilles Tarjus

We consider the influence of quenched spatial disorder on phase transitions in classical and quantum systems. We show that rare strong disorder fluctuations can have dramatic effects on critical points. In classical systems with…

统计力学 · 物理学 2009-11-10 Thomas Vojta , Rastko Sknepnek

The two-dimensional random gauge \xy model, where the quenched random variables are magnetic bond angles uniformly distributed within $[-r\pi, r\pi]$ ($0 \leq r \leq 1$), is studied via Monte Carlo simulations. We investigate the phase…

超导电性 · 物理学 2007-05-23 Petter Holme , Petter Minnhagen , Beom Jun Kim

We examine the influence of quenched disorder on the flocking transition of dense polar active matter. We consider incompressible systems of active particles with aligning interactions under the effect of either quenched random forces or…

统计力学 · 物理学 2022-03-09 Riccardo Ben Alì Zinati , Marc Besse , Gilles Tarjus , Matthieu Tissier

The influence of uncorrelated, quenched disorder on the phase transition of two dimensional Potts models will be reviewed. After an introduction where the conditions of relevance of quenched randomness on phase transitions are exemplified…

无序系统与神经网络 · 物理学 2007-05-23 Bertrand Berche , Christophe Chatelain

The zero-range process is a stochastic interacting particle system that is known to exhibit a condensation transition. We present a detailed analysis of this transition in the presence of quenched disorder in the particle interactions.…

统计力学 · 物理学 2009-11-13 Stefan Grosskinsky , Paul Chleboun , Gunter M. Schütz

Dynamical phase transitions can occur in isolated quantum systems that are brought out of equilibrium by sudden parameter changes. We discuss the characterization of such dynamical phase transitions based on the statistics of produced…

统计力学 · 物理学 2015-06-03 Pietro Smacchia , Michael Knap , Eugene Demler , Alessandro Silva

We use the perturbative renormalization group to study classical stochastic processes with memory. We focus on the generalized Langevin dynamics of the \phi^4 Ginzburg-Landau model with additive noise, the correlations of which are local in…

统计力学 · 物理学 2015-03-19 Julius Bonart , Leticia F. Cugliandolo , Andrea Gambassi

We study the effects of quenched disorder on the two-dimensional d-wave superconductors (SC's) at zero temperature by Monte-Carlo simulations. The model is defined on the three-dimesional (3D) lattice and the SC pair field is put on each…

超导电性 · 物理学 2009-10-11 Tomonori Shimizu , Shunsuke Doi , Ikuo Ichinose , Tetsuo Matsui

We investigate the critical behavior and the nature of the low-temperature phase of the $O(N)$ models treating the number of field components $N$ and the dimension $d$ as continuous variables with a focus on the $d\leq 2$ and $N\leq 2$…

统计力学 · 物理学 2023-02-22 Andrzej Chlebicki , Paweł Jakubczyk

Many previous studies have demonstrated that work statistics can exhibit certain singular behaviors in the quantum critical regimes of many-body systems at zero or very low temperatures. However, as the temperature increases, it is commonly…

量子物理 · 物理学 2022-09-08 Ze-Zhou Zhang , Wei Wu

We discuss several examples of three-dimensional critical phenomena that can be described by Landau-Ginzburg-Wilson $\phi^4$ theories. We present an overview of field-theoretical results obtained from the analysis of high-order perturbative…

高能物理 - 理论 · 物理学 2009-11-07 Pasquale Calabrese , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

We consider several types of quantum critical phenomena from finite-density gauge-gravity duality which to different degrees lie outside the Landau-Ginsburg-Wilson paradigm. These include: (1) a "bifurcating" critical point, for which the…

高能物理 - 理论 · 物理学 2014-10-24 Nabil Iqbal , Hong Liu , Márk Mezei