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Improving the frequency precision by synchronizing a lattice of oscillators is studied in the phase reduction limit. For the most commonly studied case of purely dissipative phase coupling (the Kuramoto model) I confirm that the frequency…

斑图形成与孤子 · 物理学 2013-05-30 M. C. Cross

The circadian oscillator exhibits remarkably high temporal precision, despite its exposure to several fluctuations. The central mechanism that protects the oscillator from fluctuations is a collective enhancement of precision, where a…

生物物理 · 物理学 2018-09-12 Yoshihiko Hasegawa

We consider a toy model of two kinetically coupled stochastic oscillators whose dynamics is described as a Markov jump process among $N$ discrete phase states. For large $N$, it maps onto the deterministic two-oscillator Kuramoto model of…

统计力学 · 物理学 2026-03-24 Maciej Chudak , Massimiliano Esposito , Krzysztof Ptaszynski

We investigate synchronization in a Kuramoto-like model with nearest neighbour coupling. Upon analyzing the behaviour of individual oscillators at the onset of complete synchronization, we show that the time interval between bursts in the…

The conditions under which synchronization is achieved for a one-dimensional ring of identical phase oscillators with Kuramoto-like local coupling are studied. The system is approached in the weakly coupled approximation as phase units.…

适应与自组织系统 · 物理学 2023-10-20 K. García Medina , E. Estevez-Rams

Oscillatory networks subjected to noise are broadly used to model physical and technological systems. Due to their nonlinear coupling, such networks typically have multiple stable and unstable states that a network might visit due to noise.…

斑图形成与孤子 · 物理学 2026-01-27 Jason Hindes , Ira B. Schwartz , Melvyn Tyloo

The precision of currents in Markov networks is bounded by dissipation via the so-called thermodynamic uncertainty relation (TUR). In our work, we demonstrate a similar inequality that bounds the precision of the static current response to…

统计力学 · 物理学 2024-11-26 Krzysztof Ptaszynski , Timur Aslyamov , Massimiliano Esposito

We obtain exact results for the recently discovered finite-time thermodynamic uncertainty relation in a stochastically driven system with non-Gaussian work statistics, both in the steady state and transient regimes, by obtaining exact…

统计力学 · 物理学 2018-03-13 Sreekanth K Manikandan , Supriya Krishnamurthy

Thermodynamic uncertainty relations (TURs) impose a universal trade-off between current precision and entropy production in autonomous steady states, constraining in particular the power, efficiency, and constancy of heat engines. We…

统计力学 · 物理学 2026-03-23 Enrique P. Cital , Viktor Holubec

We derive relations between standard order parameter correlations and the noise correlations in time of flight images, which are valid for systems with long range order as well as low dimensional systems with algebraic decay of…

其他凝聚态物理 · 物理学 2011-05-31 L. Mathey , A. Vishwanath , E. Altman

Synchronization transition in oscillatory networks manifests itself as the appearance of a periodic global mode. While perfect in the thermodynamic limit, this mode fluctuates for finite ensembles. We characterize the coherence of this mode…

混沌动力学 · 物理学 2026-01-12 A. Pikovsky , F. Bagnoli , S. Iubini

Fluctuations affect the functionality of nanodevices. Thermodynamic uncertainty relations (TURs), derived within the framework of stochastic thermodynamics, show that a minimal amount of dissipation is required to obtain a given relative…

量子物理 · 物理学 2024-09-13 Luca Razzoli , Matteo Carrega , Fabio Cavaliere , Giuliano Benenti , Maura Sassetti

We consider the influence of correlated noise on the stability of synchronisation of oscillators on a general network using the Kuramoto model for coupled phases $\theta_i$. Near the fixed point $\theta_i \approx \theta_j \ \forall i,j$ the…

统计力学 · 物理学 2013-04-29 Mathew Zuparic , Alexander C. Kalloniatis

Thermodynamic uncertainty relations (TURs) set fundamental bounds on the fluctuation and dissipation of stochastic systems. Here, we examine these bounds, in experiment and theory, by exploring the entire phase space of a cyclic information…

统计力学 · 物理学 2020-09-23 Govind Paneru , Sandipan Dutta , Tsvi Tlusty , Hyuk Kyu Pak

Sperm swimming is crucial to fertilise the egg, in nature and in assisted reproductive technologies. Modelling the sperm dynamics involves elasticity, hydrodynamics, internal active forces, and out-of-equilibrium noise. Here we demonstrate…

软凝聚态物质 · 物理学 2023-06-26 C. Maggi , B. Nath , F. Saglimbeni , V. Carmona Sosa , R. Di Leonardo , A. Puglisi

Thermodynamic Uncertainty Relations express a trade-off between precision, defined as the noise-to-signal ratio of a generic current, and the amount of associated entropy production. These results have deep consequences for autonomous heat…

We discuss how to use correlations between different physical observables to improve recently obtained thermodynamics bounds, notably the fluctuation-response inequality (FRI) and the thermodynamic uncertainty relation (TUR). We show that…

统计力学 · 物理学 2022-01-10 Andreas Dechant , Shin-ichi Sasa

We use Floquet formalism to study fluctuations in periodically modulated continuous quantum thermal machines. We present a generic theory for such machines, followed by specific examples of sinusoidal, optimal, and circular modulations…

量子物理 · 物理学 2023-08-02 Arpan Das , Shishira Mahunta , Bijay Kumar Agarwalla , Victor Mukherjee

We study a Kuramoto-like model of coupled identical phase oscillators on a network, where attractive and repulsive couplings are balanced dynamically due to nonlinearity in interaction. Under a week force, an oscillator tends to follow the…

适应与自组织系统 · 物理学 2015-01-28 Celso Freitas , Elbert Macau , Arkady Pikovsky

We study Kuramoto phase oscillators with temporal fluctuations in the frequencies. The infinite-dimensional system can be reduced in a Gaussian approximation to two first-order differential equations. This yields a solution for the…

统计力学 · 物理学 2013-11-12 Bernard Sonnenschein , Lutz Schimansky-Geier
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