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The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow phase to a congested phase. In the deterministic case this transition corresponds to a critical point with diverging correlation length. We present…

统计力学 · 物理学 2007-05-23 L. Santen , A. Schadschneider

A one dimensional non-equilibrium stochastic model is proposed where each site of the lattice is occupied by a particle, which may be of type A or B. The time evolution of the model occurs through three processes: autocatalytic generation…

统计力学 · 物理学 2007-05-23 Wellington G. Dantas , Armando Ticona , Jurgen F. Stilck

Transition out of a topological phase is typically characterized by discontinuous changes in topological invariants along with bulk gap closings. However, as a clean system is geometrically punctured, it is natural to ask the fate of an…

无序系统与神经网络 · 物理学 2023-12-15 Saikat Mondal , Subrata Pachhal , Adhip Agarwala

Dynamical phase transitions are defined through non-analyticities of the survival probability of an out-of-equilibrium time-evolving state at certain critical times. They ensue from zeros of the corresponding survival amplitude. By…

统计力学 · 物理学 2023-03-17 Ángel L. Corps , Pavel Stránský , Pavel Cejnar

We introduce a novel characterization of phase transitions based on hypothesis testing. In our formulation, a phase transition is defined as the breakdown of statistical indistinguishability under vanishing parameter perturbations in the…

统计力学 · 物理学 2026-04-20 Taiyo Narita , Hideyuki Miyahara

The realization of a genuine phase transition in quantum mechanics requires that at least one of the Kato's exceptional-point parameters becomes real. A new family of finite-dimensional and time-parametrized quantum-lattice models with such…

量子物理 · 物理学 2015-11-06 Denis I. Borisov , Frantisek Ruzicka , Miloslav Znojil

We consider a system of clusters made of elementary building blocks, monomers, and evolving via collisions between diffusing monomers and immobile composite clusters. In our model, the cluster-monomer collision can lead to the attachment of…

统计力学 · 物理学 2017-10-25 P. L. Krapivsky , W. Otieno , N. V. Brilliantov

In recent years, quantum phase transitions have attracted the interest of both theorists and experimentalists in condensed matter physics. These transitions, which are accessed at zero temperature by variation of a non-thermal control…

凝聚态物理 · 物理学 2009-11-10 Matthias Vojta

A one-dimensional quantum version of the frustrated XY (planar rotor) model is considered which can be physically realized as a ladder of Josephson-junctions at half a flux quantum per plaquette. This system undergoes a superconductor to…

凝聚态物理 · 物理学 2009-10-22 E. Granato

We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition (QPT) where the critical point exhibits an emergent enhanced symmetry. Such a transition…

强关联电子 · 物理学 2025-08-27 Anirudha Menon , Anwesha Chattopadhyay , K. Sengupta , Arnab Sen

We discuss the phase diagram of the balls in boxes model, with a varying number of boxes. The model can be regarded as a mean-field model of simplicial gravity. We analyse in detail the case of weights of the form $p(q) = q^{-\beta}$, which…

广义相对论与量子宇宙学 · 物理学 2009-10-31 P. Bialas , Z. Burda , D. Johnston

Quantum shape-phase transitions in finite nuclei are considered in the framework of the interacting boson model. Critical-point Hamiltonians for first- and second-order transitions are identified by resolving them into intrinsic and…

核理论 · 物理学 2008-11-26 A. Leviatan

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

统计力学 · 物理学 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

We propose the construction of a many-body phase of matter with fractal structure using arrays of Rydberg atoms. The degenerate low energy excited states of this phase form a self-similar fractal structure. This phase is analogous to the…

量子气体 · 物理学 2022-01-06 Nayan E. Myerson-Jain , Stephen Yan , David Weld , Cenke Xu

In this paper, we investigate the dynamics of the confinement-deconfinement phase transition in a toy model where the walking dynamics is realized perturbatively. We study the properties of the phase transition focusing on the possible…

高能物理 - 唯象学 · 物理学 2020-09-15 Aleksandr Azatov , Miguel Vanvlasselaer

The class of random-cluster models is a unification of a variety of stochastic processes of significance for probability and statistical physics, including percolation, Ising, and Potts models; in addition, their study has impact on the…

概率论 · 数学 2007-05-23 Geoffrey Grimmett

We develop a model in the framework of nuclear fragmentation at thermodynamic equilibrium which can be mapped onto an Ising model with constant magnetization. We work out the thermodynamic properties of the model as well as the properties…

核理论 · 物理学 2009-10-31 J. M. Carmona , J. Richert , A. Tarancon

I review in this chapter several classes of quantum phase transitions that occur in quasi-one dimensional systems. I start by examining the simple case of coupled spin chains and ladders, then move to the case of bosons, and finally deal…

强关联电子 · 物理学 2015-05-19 Thierry Giamarchi

We consider the Boolean model with random radii based on Cox point processes. Under a condition of stabilization for the random environment, we establish existence and non-existence of subcritical regimes for the size of the cluster at the…

概率论 · 数学 2020-05-26 Benedikt Jahnel , András Tóbiás , Elie Cali

Two distinct transition points have been observed in a problem of lattice percolation studied using a system of pulsating discs. Sites on a regular lattice are occupied by circular discs whose radii vary sinusoidally within $[0,R_0]$…

统计力学 · 物理学 2019-07-02 Sumanta Kundu , Amitava Datta , S. S. Manna