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We demonstrate the mechanisms of emergence and the link between two types of symmetry-broken states, the unbalanced periodic two-cluster states and solitary states, in coupled excitable systems with prevalent repulsive interactions.…

Adaptation and Self-Organizing Systems · Physics 2022-01-26 Igor Franović , Sebastian Eydam , Nadezhda Semenova , Anna Zakharova

Metastable states in first-order phase transitions reveal interesting behavior about a wide range of systems in statistical mechanics, including spin systems, cellular automata and condensed matter systems. These metastable states are often…

Statistical Mechanics · Physics 2019-08-23 Vivianne Olguín-Arias , Sergio Davis , Gonzalo Gutiérrez

We introduce a minimal model for a collection of self-propelled apolar active particles, also called as `active nematic', on a two-dimensional substrate and study the order-disorder transition with the variation of density. The particles…

Statistical Mechanics · Physics 2015-09-18 Rakesh Das , Manoranjan Kumar , Shradha Mishra

The spectroscopic properties of a single, tightly trapped atom are studied, when the electronic levels are coupled by three laser fields in an $N$-shaped configuration of levels, whereby a $\Lambda$-type level system is weakly coupled to a…

Quantum Physics · Physics 2014-04-16 Caroline Champenois , Giovanna Morigi , Juergen Eschner

Colloidal particles are often seen as big atoms that can be directly observed in real space. They are therefore playing an increasingly important role as model systems to study processes of interest in condensed matter physics such as…

To understand the onset of collective motion, we investigate active systems where particles switch on and off their self-propulsion. We prove that even when the only possible transition is off$\to$on, an active 2-state system behaves as an…

Biological Physics · Physics 2024-10-31 Hadrien-Matthieu Gascuel , Parisa Rahmani , Richard Bon , Fernando Peruani

We investigate the stability of Quantum Critical Points (QCPs) in the presence of two competing phases. These phases near QCPs are assumed to be either classical or quantum and assumed to repulsively interact via square-square interactions.…

Strongly Correlated Electrons · Physics 2010-11-19 Jian-Huang She , Jan Zaanen , Alan R. Bishop , Alexander V. Balatsky

The cellular automata discrete dynamical system is considered as the two-stage process: the majority rule for the change in the automata state and the rule for the change in topological relations between automata. The influence of changing…

Statistical Mechanics · Physics 2007-05-23 Danuta Makowiec

We experimentally study the level mixing, splitting and repulsion of an optically driven atomic multi-level system under two competing interactions. The strength of the optical coupling is increased until it surpasses the atomic hyperfine…

We study the collective behavior of nonequilibrium systems subject to an external field with a dynamics characterized by the existence of non-interacting states. Aiming at exploring the generality of the results, we consider two types of…

Disordered Systems and Neural Networks · Physics 2011-07-12 J. C. Gonzalez-Avella , M. G. Cosenza , V. M. Eguiluz , M. San Miguel

We improve a recently proposed dynamically driven renormalization group algorithm for cellular automata systems with one absorbing state, introducing spatial correlations in the expression for the transition probabilities. We implement the…

Statistical Mechanics · Physics 2009-10-31 Roberto A. Monetti , Javier E. Satulovsky

We study a neural network model of interacting stochastic discrete two--state cellular automata on a regular lattice. The system is externally tuned to a critical point which varies with the degree of stochasticity (or the effective…

Statistical Mechanics · Physics 2015-06-12 Kaustubh Manchanda , Avinash Chand Yadav , Ramakrishna Ramaswamy

We study complex networks of stochastic two-state units. Our aim is to model discrete stochastic excitable dynamics with a rest and an excited state. Both states are assumed to possess different waiting time distributions. The rest state is…

Physics and Society · Physics 2016-12-02 Simon Christ , Bernard Sonnenschein , Lutz Schimansky-Geier

Fluid phase equilibrium depends on the external constraints imposed on a system. In a closed system with fixed volume, depending on the average density, a vapor bubble may be stable, metastable, or unstable, with respect to the homogeneous…

Soft Condensed Matter · Physics 2026-02-24 Frederic Caupin , Alberto Zaragoza , Miguel A. Gonzalez , Chantal Valeriani

We rigorously prove a form of disorder-resistance for a class of one-dimensional cellular automaton rules, including some that arise as boundary dynamics of two-dimensional solidification rules. Specifically, when started from a random…

Probability · Mathematics 2015-09-30 Janko Gravner , Alexander E. Holroyd

We investigate the effect of two-body loss due to chemical reactions on quantum magnetism of fermionic polar molecules in an optical lattice. We show that an interplay between dissipation and strong long-range interactions leads to…

Quantum Gases · Physics 2023-07-12 Naoki Hara , Masaya Nakagawa

Multistability is an inseparable feature of many physical, chemical and biological systems which are driven far from equilibrium. In these nonequilibrium systems, stochastic dynamics often induces switching between distinct states on…

Adaptation and Self-Organizing Systems · Physics 2017-11-01 Guram Gogia , Justin Burton

We study the mean-field phase diagram of glassy systems in a field pointing in the direction of a metastable state. We find competition among a ``magnetized'' and a ``disordered'' phase, that are separated by a coexistence line as in…

Statistical Mechanics · Physics 2009-10-30 Silvio Franz , Giorgio Parisi

Quantum van der Pol oscillators are driven-dissipative systems displaying quantum synchronization phenomena. When forced by a squeezed drive, the frequency adjusts to half of the forcing displaying multiple preferred phases. Here we analyze…

Quantum Physics · Physics 2021-10-26 Albert Cabot , Gian Luca Giorgi , Roberta Zambrini

In this letter we present a dynamical study of the structure of metastable states (corresponding to TAP solutions) in a mean-field spin-glass model. After reviewing known results of the statical approach, we use dynamics: starting from an…

Condensed Matter · Physics 2009-10-28 A. Barrat , R. Burioni , M. Mézard