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Non-linear oscillators serve important functions in many biological systems, including within the inner ear and neuronal networks. The sustainment of oscillations in noisy environments requires continuous energy dissipation, quantified by…

统计力学 · 物理学 2026-04-28 Anton F. Burnet , Vansh Kharbanda , David Tobias , Benedikt Sabass

Many theoretical expressions of dissipation along non-equilibrium processes have been proposed. However, they have not been fully verified by experiments. Especially for systems strongly interacting with environments the connection between…

统计力学 · 物理学 2019-12-03 Ketan Goyal , Xian He , Ryoichi Kawai

We study the energy flow between a one dimensional oscillator and a chaotic system with two degrees of freedom in the weak coupling limit. The oscillator's observables are averaged over an initially microcanonical ensemble of trajectories…

混沌动力学 · 物理学 2015-06-26 M. V. S. Bonanca , M. A. M. de Aguiar

Using a thermodynamically consistent, mesoscopic model for modern complementary metal-oxide-semiconductor transistors, we study an array of logical circuits and explore how their function is constrained by recent thermodynamic uncertainty…

统计力学 · 物理学 2025-03-28 Phillip Helms , Songela W. Chen , David T. Limmer

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

统计力学 · 物理学 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

When two resonantly interacting modes are in contact with a thermostat, their statistics is exactly Gaussian and the modes are statistically independent despite strong interaction. Considering noise-driven system, we show that when one mode…

混沌动力学 · 物理学 2021-07-28 N. Vladimirova , M. Shavit , S. Belan , G. Falkovich

In this tutorial, three examples of stochastic systems are considered: A strongly-damped oscillator, a weakly-damped oscillator and an undamped oscillator (integrator) driven by noise. The evolution of these systems is characterized by the…

统计力学 · 物理学 2022-02-02 C. J. McKinstrie , T. J. Stirling , A. S. Helmy

Dissipation is commonly regarded as an obstacle to quantum control, as it induces decoherence and irreversibility. Here we demonstrate that dissipation can instead be exploited as a resource to reshape the dynamics of interacting quantum…

量子物理 · 物理学 2026-02-20 Debabrata Mondal , Lea F. Santos , S. Sinha

Recent large deviation results have provided general lower bounds for the fluctuations of time-integrated currents in the steady state of stochastic systems. A corollary are so-called thermodynamic uncertainty relations connecting precision…

统计力学 · 物理学 2017-03-29 Juan P. Garrahan

Discrete time crystals are periodically driven systems that display spontaneous symmetry breaking of time translation invariance in the form of indefinite subharmonic oscillations. We introduce a thermodynamically consistent model for a…

统计力学 · 物理学 2021-01-20 Lukas Oberreiter , Udo Seifert , Andre C. Barato

Some microscopic dynamics are also macroscopically irreversible, dissipating energy and producing entropy. For many-particle systems interacting with deterministic thermostats, the rate of thermodynamic entropy dissipated to the environment…

经典物理 · 物理学 2025-01-13 Swetamber Das , Jason R. Green

The oscillation of fluctuation with two state observables is investigated. Following the idea of Ohga, et al. [arXiv:2303.13116], we find that the fluctuation oscillation relative to their autocorrelations is bounded from above by the…

统计力学 · 物理学 2023-12-11 Naoto Shiraishi

We use rigorous non-equilibrium thermodynamic arguments to prove (i) the residual entropy of any system is bounded below by the experimentally (calorimetrically) determined absolute temperature entropy, which itself is bounded below by the…

统计力学 · 物理学 2011-06-13 P. D. Gujrati

Current is a characteristic feature of nonequilibrium systems. In stochastic systems, these currents exhibit fluctuations constrained by the rate of dissipation in accordance with the recently discovered thermodynamic uncertainty relation.…

统计力学 · 物理学 2017-10-30 Todd R. Gingrich , Jordan M. Horowitz

We analyze the noise in a multi-terminal multi-channel conductor under arbitrary time-dependent driving and subject to -- possibly large -- static potential and temperature biases. We show that the full out-of-equilibrium zero-frequency…

介观与纳米尺度物理 · 物理学 2025-09-10 Ludovico Tesser , José Balduque , Janine Splettstoesser

The second law of thermodynamics implies that no macroscopic system may oscillate indefinitely without consuming energy. The question of the number of possible oscillations and the coherent quality of these oscillations remain unanswered.…

统计力学 · 物理学 2011-08-09 Nathan O. Hodas

We analyze a thermodynamically consistent model of CMOS-based ring oscillators near the onset of coherent voltage oscillations. For driving voltages close to the critical value, we derive the normal form of the Hopf bifurcation that…

统计力学 · 物理学 2025-12-02 Ashwin Gopal , Massimiliano Esposito , Jan Meibohm

This paper considers the problem of stabilizing a discrete-time non-linear stochastic system over a finite capacity noiseless channel. Our focus is on systems which decompose into a stable and unstable component, and the stability notion…

最优化与控制 · 数学 2021-09-07 Nicolás Garcia , Christoph Kawan , Serdar Yüksel

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

凝聚态物理 · 物理学 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

In a noisy environment, oscillations loose their coherence which can be characterized by a quality factor. We determine this quality factor for oscillations arising from a driven Fokker-Planck dynamics along a periodic one-dimensional…

统计力学 · 物理学 2023-12-15 Benedikt Remlein , Volker Weissmann , Udo Seifert