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Recent advances have shown that introducing dependency interactions between two superconducting networks can trigger abrupt, hysteretic normal-superconductor phase transitions. In this study, we demonstrate that such behavior can also arise…

In many systems consisting of interacting subsystems, the complex interactions between elements can be represented using multilayer networks. However percolation, key to understanding connectivity and robustness, is not trivially…

Disordered Systems and Neural Networks · Physics 2020-11-04 G. J. Baxter , R. A. da Costa , S. N. Dorogovtsev , J. F. F. Mendes

This paper is devoted to the dynamics of a weakly interacting Fermi gas at the kinetic time regime $t\sim \lambda^{-2}$ where $\lambda \ll 1$ is the strength of the interaction potential. We prove that if the initial state is close to…

Mathematical Physics · Physics 2026-05-14 Peter S. Madsen , Phan Thành Nam , Herbert Spohn , Minh-Binh Tran

This paper studies the consensus problem for multiagent systems with transmission constraints. A novel model of multiagent systems is proposed where the information transmissions between agents are disturbed by irregular distortions or…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Xiaotian Wang , Housheng Su

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

Statistical Mechanics · Physics 2015-05-18 Nuno Crokidakis

Carrying out explicitly the computation in a paradigmatic model of non-interacting systems, the Gaussian Model, we show the existence of a singular point in the probability distribution $P(M)$ of an extensive variable $M$. Interpreting…

Statistical Mechanics · Physics 2014-12-10 Federico Corberi , Giuseppe Gonnella , Antonio Piscitelli

We calculate analytically the phase boundary for a nonequilibrium phase transition in a one-dimensional array of coupled, overdamped parametric harmonic oscillators in the limit of strong and weak spatial coupling. Our results show that the…

Statistical Mechanics · Physics 2009-11-07 J. Farago , C. Van den Broeck

The possibility that a short-range interacting system exhibits nonadditivity is investigated. After the discussion on the precise definition of additivity and its consequence, we show that it is possible when the system is in a…

Statistical Mechanics · Physics 2015-06-19 Takashi Mori

This paper investigates multi-agent frequencybased patrolling of intersecting, circle graphs under conditions where graph nodes have non-uniform visitation requirements and agents have limited ability to communicate. The task is modeled as…

Multiagent Systems · Computer Science 2014-02-10 Tao Mao , Laura Ray

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

Statistical Mechanics · Physics 2013-12-31 Márton Pósfai , Philipp Hövel

Linear max-plus systems describe the behavior of a large variety of complex systems. It is known that these systems show a periodic behavior after an initial transient phase. Assessment of the length of this transient phase provides…

Discrete Mathematics · Computer Science 2012-09-18 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

The interactions between a group of components are commonly studied in several areas of science (social science, biology, material science, complex dynamical systems, among others) using the methods of thermodynamics and statistical…

Statistical Mechanics · Physics 2021-07-28 Constanza Farías , Sergio Davis

As disorder strength increases in quantum many-body systems a new phase of matter, the so-called anybody localization, emerges across the whole spectrum. This transition is energy dependent, a phenomenon known as mobility edge, such that…

Disordered Systems and Neural Networks · Physics 2023-02-02 Rozhin Yousefjani , Abolfazl Bayat

In this article we investigate the phase transition phenomena that occur in a model of self-organisation through body-attitude coordination. Here, the body-attitude of an agent is modelled by a rotation matrix in $\mathbb{R}^3$ as in…

Analysis of PDEs · Mathematics 2020-06-24 Pierre Degond , Antoine Diez , Amic Frouvelle , Sara Merino-Aceituno

We present a non-isothermal mesoscopic model for investigation of the phase transition dynamics of thermoresponsive polymers. Since this model conserves energy in the simulations, it is able to correctly capture not only the transient…

Chemical Physics · Physics 2015-04-28 Zhen Li , Yu-Hang Tang , Xuejin Li , George Em Karniadakis

The theory of continuous phase transitions predicts the universal collective properties of a physical system near a critical point, which for instance manifest in characteristic power-law behaviours of physical observables. The…

Statistical Mechanics · Physics 2016-06-24 Matteo Marcuzzi , Emanuele Levi , Weibin Li , Juan P. Garrahan , Beatriz Olmos , Igor Lesanovsky

We analytically study interacting Dirac fermions, described by the Thirring model, under weak local particle number measurements with monitoring rate $\gamma$. This system maps to a bosonic replica field theory, analyzed via the…

Statistical Mechanics · Physics 2025-02-24 Thomas Martin Müller , Michael Buchhold , Sebastian Diehl

We establish a functional weak law of large numbers for observable macroscopic state variables of interacting particle systems (e.g., voter and contact processes) over fast time-varying sparse random networks of interactions. We show that,…

Probability · Mathematics 2017-03-01 Augusto Almeida Santos , Soummya Kar , José M. F. Moura , João Xavier

We construct a collision model description of the thermalization of a finite many-body system by using careful derivation of the corresponding Lindblad-type master equation in the weak coupling regime. Using the example of two level target…

Quantum Physics · Physics 2019-12-20 Onat Arısoy , Steve Campbell , Özgür E. Müstecaplıoğlu

Quantum phase transitions with multicritical points are fascinating phenomena occurring in interacting quantum many-body systems. However, multicritical points predicted by theory have been rarely verified experimentally; finding…

Quantum Physics · Physics 2023-05-17 Yutao Hu , Yu Zhou , Wenchen Luo , Andrea Trombettoni , Guoxiang Huang