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The dissipation--coherence bound is a conjectured tradeoff between entropy production and the quality of stochastic oscillations. We show that this tradeoff follows from the higher-order thermodynamic uncertainty relation together with a…

Statistical Mechanics · Physics 2026-03-31 Artemy Kolchinsky

Overdamped stochastic systems maintained far from equilibrium can display sustained oscillations with fluctuations that decrease with the system size. The correlation time of such noisy limit cycles expressed in units of the cycle period is…

Statistical Mechanics · Physics 2025-01-31 Davide Santolin , Gianmaria Falasco

Thermodynamic uncertainty relation (TUR) bounds coherence in stochastic oscillatory systems. In this paper, we show that both dynamical and thermodynamic bounds play important roles for the excitable oscillators, e.g. neurons. Firstly, we…

Statistical Mechanics · Physics 2024-12-24 Chunming Zheng

We derive a variational expression for the correlation time of physical observables in steady-state diffusive systems. As a consequence of this variational expression, we obtain lower bounds on the correlation time, which provide speed…

Statistical Mechanics · Physics 2023-03-24 Andreas Dechant , Jerome Garnier-Brun , Shin-ichi Sasa

We investigate bounds on speed, non-adiabatic entropy production and trade-off relation between them for classical stochastic processes with time-independent transition rates. Our results show that the time required to evolve from an…

Statistical Mechanics · Physics 2023-11-10 Jie Gu

We establish a general lower bound for the entropy production rate (EPR) based on the Kullback-Leibler divergence and the Logarithmic-Sobolev constant that characterizes the time-scale of relaxation. This bound can be considered as an…

Statistical Mechanics · Physics 2025-10-31 Ruicheng Bao , Chaoqun Du , Zhiyu Cao , Zhonghuai Hou

We derive universal thermodynamic inequalities that bound from below the moments of first-passage times of stochastic currents in nonequilibrium stationary states of Markov jump processes in the limit where the thresholds that define the…

Statistical Mechanics · Physics 2025-02-03 Izaak Neri

In the paradigm of thermodynamic computing, instead of behaving deterministically, hardware undergoes a stochastic process in order to sample from a distribution of interest. While it has been hypothesized that thermodynamic computers may…

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

Statistical Mechanics · Physics 2024-12-31 Jérémie Klinger , Grant M. Rotskoff

We derive statistical-mechanical speed limits on dissipation from the classical, chaotic dynamics of many-particle systems. In one, the rate of irreversible entropy production in the environment is the maximum speed of a deterministic…

Statistical Mechanics · Physics 2024-06-19 Swetamber Das , Jason R. Green

Physical systems that power motion and create structure in a fixed amount of time dissipate energy and produce entropy. Whether living or synthetic, systems performing these dynamic functions must balance dissipation and speed. Here, we…

Statistical Mechanics · Physics 2020-12-18 Schuyler B. Nicholson , Luis Pedro Garcia-Pintos , Adolfo del Campo , Jason R. Green

The thermodynamic uncertainty relation sets the minimal bound of the cost-precision trade-off relation for dissipative processes. Examining the dynamics of an internally coupled system that is driven by a constant thermodynamic force, we…

Statistical Mechanics · Physics 2018-09-19 Sangwon Lee , Changbong Hyeon , Junghyo Jo

We show that the dissipation rate bounds the rate at which physical processes can be performed in stochastic systems far from equilibrium. Namely, for rare processes we prove the fundamental tradeoff $\langle \dot S_\text{e} \rangle…

Statistical Mechanics · Physics 2020-09-23 Gianmaria Falasco , Massimiliano Esposito

Previously derived "global" thermodynamic speed limit theorems state that increasing the maximum speed with which a system can evolve between two given probability distributions over its states requires the system to produce more entropy in…

Statistical Mechanics · Physics 2021-12-07 Farita Tasnim , David H. Wolpert

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…

Statistical Mechanics · Physics 2025-03-28 Phillip Helms , Songela W. Chen , David T. Limmer

We derive general trade-off relations among the power, efficiency, and constancy for two-terminal thermoelectric systems in the linear response regime. Constancy, which quantifies the steadiness of the heat engine, is measured by its…

Statistical Mechanics · Physics 2026-04-09 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Liwei Chen , Jincan Chen , Shanhe Su

Stuart-Landau limit-cycle oscillators are a paradigm in the study of coherent and incoherent limit cycles. In this work, we generalize the standard Stuart-Landau dimer model to include effects due to an inertia-like term and noise and study…

Statistical Mechanics · Physics 2021-11-05 Jung-Wan Ryu , Alexandre Lazarescu , Rahul Marathe , Juzar Thingna

Speed limit for classical stochastic Markov processes with discrete states is studied. We find that a trade-off inequality exists between the speed of the state transformation and the entropy production. The dynamical activity determines…

Statistical Mechanics · Physics 2018-08-22 Naoto Shiraishi , Ken Funo , Keiji Saito

The principle of microscopic reversibility says that, in equilibrium, two-time cross-correlations are symmetric under the exchange of observables. Thus, the asymmetry of cross-correlations is a fundamental, measurable, and often-used…

Statistical Mechanics · Physics 2023-08-24 Naruo Ohga , Sosuke Ito , Artemy Kolchinsky

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…

Chaotic Dynamics · Physics 2021-07-28 N. Vladimirova , M. Shavit , S. Belan , G. Falkovich
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