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Integrated Information Theory (IIT) is an audacious attempt to pin down the abstract, phenomenological experiences of consciousness into a rigorous, mathematical framework. We show that IIT's stance in regards to neuronal noise is…

Neurons and Cognition · Quantitative Biology 2021-12-10 Refath Bari

Information-theoretic definitions for the noise associated with a quantum measurement and the corresponding disturbance to the state of the system have recently been introduced [F. Buscemi et al., Phys. Rev. Lett. 112, 050401 (2014)]. These…

Quantum Physics · Physics 2016-12-14 Alastair A. Abbott , Cyril Branciard

We describe synchronization transitions in an ensemble of globally coupled phase oscillators with a bi-harmonic coupling function, and two sources of disorder - diversity of intrinsic oscillatory frequencies and external independent noise.…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Vladimir Vlasov , Maxim Komarov , Arkady Pikovsky

The Anderson-Mott transition of disordered interacting electrons is shown to share many physical and technical features with classical random-field systems. A renormalization group study of an order parameter field theory for the…

Condensed Matter · Physics 2009-10-22 T. R. Kirkpatrick , D. Belitz

We study the effect of exponentially correlated noise on $xy-$model in the limit of small correlation time discussing the order-disorder transition in mean-field and the topological transition in two dimensions. We map the steady states of…

Statistical Mechanics · Physics 2018-02-21 Matteo Paoluzzi , Umberto Marini Bettolo Marconi , Claudio Maggi

Under certain symmetries, degenerate points in three-dimensional metals form one-dimensional nodal lines. These nodal lines sometimes exhibit intricate knotted structures and have been studied in various contexts. As one of the most common…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Ming Gong , Peng-Lu Zhao , Hai-Zhou Lu , Qian Niu , X. C. Xie

Orbits in a three-dimensional potential subjected to periodic driving, V(x^i,t)=[1+m_0 sin(omega t) V_0(x^i), divide naturally into two types, regular and chaotic, between which transitions are seemingly impossible. The chaotic orbits…

Astrophysics · Physics 2007-05-23 Balsa Terzic , Henry E. Kandrup

In the most popular approach to the numerical study of the Anderson metal-insulator transition the transfer matrix method is combined with finite-size scaling ideas. This approach requires large computer resources to overcome the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alex P Taylor , Angus MacKinnon

Noise is inevitable in realistic quantum circuits. It arises randomly in space. Inspired by spatial non-uniformity of the noise, we investigate the effects of spatial modulation on purification phase transitions in a hybrid random Clifford…

Quantum Physics · Physics 2026-01-22 Kengo Anzai , Hiroaki Matsueda , Yoshihito Kuno

Nonlinear diffusion is studied in the presence of multiplicative noise. The nonlinearity can be viewed as a ``wall'' limiting the motion of the diffusing field. A dynamic phase transition occurs when the system ``unbinds'' from the wall.…

Statistical Mechanics · Physics 2009-10-30 M. A. Muñoz , T. Hwa

Theoretical models that describe oscillations in biological systems are often either a limit cycle oscillator, where the deterministic nonlinear dynamics gives sustained periodic oscillations, or a noise-induced oscillator, where a fixed…

Quantitative Methods · Quantitative Biology 2015-01-20 Namiko Mitarai , Uri Alon , Mogens H. Jensen

The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation-response relation. This formula holds also for systems with state-independent…

Statistical Mechanics · Physics 2017-06-13 Cem Yolcu , Antoine Bérut , Gianmaria Falasco , Artyom Petrosyan , Sergio Ciliberto , Marco Baiesi

The critical behavior of many physical systems involves two competing $n^{}_1-$ and $n^{}_2-$component order-parameters, ${\bf S}^{}_1$ and ${\bf S}^{}_2$, respectively, with $n=n^{}_1+n^{}_2$. Varying an external control parameter $g$,…

Statistical Mechanics · Physics 2022-06-22 A. Aharony , O. Entin-Wohlman , A. Kudlis

Vicsek Model is widely used in simulations of dry active matter. We re-examined two typical phase transitions in the original Vicsek model by using the velocity correlation length. One is the noise-driven disordered-to-ordered phase…

Soft Condensed Matter · Physics 2025-04-02 Wenhao Yu , Zinuo Li , Liufang Xu

We study a continuous quasi-two-dimensional order-disorder phase transition that occurs in a simple model of a material that is inhomogeneously strained due to the presence of dislocation lines. Performing Monte Carlo simulations of…

Statistical Mechanics · Physics 2010-09-15 Charo I. Del Genio , Kevin E. Bassler

We consider driven many-particle models which have a phase transition between an active and an absorbing phase. Like previously studied models, we have particle conservation, but here we introduce an additional symmetry - when two particles…

Statistical Mechanics · Physics 2017-01-18 Daniel Hexner , Dov Levine

We propose a comprehensive dynamical model for cooperative motion of self-propelled particles, e.g., flocking, by combining well-known elements such as velocity-alignment interactions, spatial interactions, and angular noise into a unified…

Statistical Mechanics · Physics 2009-05-20 V. Dossetti , F. J. Sevilla , V. M. Kenkre

In this work we investigate symmetry breaking in the presence of a turbulent environment. The transition from a symmetric state to a symmetry-breaking state is demonstrated using two examples: (i) the transition of a two-dimensional flow to…

We introduce and analyze an exactly soluble one-dimensional Ising model with long range interactions which exhibits a mixed order transition (MOT), namely a phase transition in which the order parameter is discontinuous as in first order…

Statistical Mechanics · Physics 2013-12-03 Amir Bar , David Mukamel

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…

Statistical Mechanics · Physics 2022-03-09 Riccardo Ben Alì Zinati , Marc Besse , Gilles Tarjus , Matthieu Tissier