Numerical Prediction of the Steady-State Distribution Under Stochastic Resetting from Measurements DOI Creative Commons
Yael Roichman

Published: Nov. 26, 2024

A common and effective method for calculating the steady-state distribution of a process under stochastic resetting is renewal approach that requires only knowledge reset-free propagator underlying time distribution. The widely used simple model systems such as freely diffusing particle with exponentially distributed times. However, in many real-world physical systems, propagator, distribution, or both are not always known beforehand. In this study, we develop numerical to determine probability positions based on measured system absence combined We apply validate our two distinct systems: one involving interacting particles other featuring strong environmental memory. Thus, can be predict steady state any system, provided free it undergoes complete resetting.

Language: Английский

Thermodynamic cost of finite-time stochastic resetting DOI Creative Commons
Kristian Stølevik Olsen, Deepak Gupta, Francesco Mori

et al.

Physical Review Research, Journal Year: 2024, Volume and Issue: 6(3)

Published: Sept. 27, 2024

Recent experiments have implemented resetting by means of an external trap, whereby a system relaxes to the minimum trap and is reset in finite time. In this work, we set up analyze thermodynamics such protocol. We present general framework, valid even for non-Poissonian resetting, that captures thermodynamic work required maintain process given observation time, exactly calculate moment generating function work. Our framework wide range systems, only assumption being relaxation equilibrium trap. Examples extensions are considered. case Brownian motion, investigate optimal schemes minimize its fluctuations, mean arbitrary switching protocols, comparisons previously studied schemes. Numerical simulations performed validate our findings. Published American Physical Society 2024

Language: Английский

Citations

10
Optimizing cost through dynamic stochastic resetting DOI
Deepak Gupta,

Bart Cleuren

Journal of Statistical Mechanics Theory and Experiment, Journal Year: 2025, Volume and Issue: 2025(1), P. 013206 - 013206

Published: Jan. 1, 2025

Abstract The cost of stochastic resetting is considered within the context a discrete random walk (RW) model. In addition to standard resetting, for which reset occurs with certain probability after each step, we introduce novel protocol dubbed dynamic . This entails an additional constraint related direction successive steps RW. We study this one-dimensional RW on infinite lattice. analyze impact walker’s mean-first passage time and (fluctuations) resets as function distance target from location. Further, optimized search strategies are discussed.

Language: Английский

Citations

0
Numerical Prediction of the Steady-State Distribution Under Stochastic Resetting from Measurements DOI Creative Commons

Ron Vatash,

Amy Altshuler,

Yael Roichman

et al.

Journal of Statistical Physics, Journal Year: 2025, Volume and Issue: 192(3)

Published: March 11, 2025

Language: Английский

Citations

0
Optimal Control of an Electromechanical Energy Harvester DOI Creative Commons
Dario Lucente, Alessandro Manacorda, Andrea Plati

et al.

Entropy, Journal Year: 2025, Volume and Issue: 27(3), P. 268 - 268

Published: March 5, 2025

Many techniques originally developed in the context of deterministic control theory have recently been applied to quest for optimal protocols stochastic processes. Given a system subject environmental fluctuations, one may ask what is best way change its controllable parameters time order maximize, on average, certain reward function, while steering between two pre-assigned states. In this work, we study problem wide class systems, inspired by model an energy harvester. The noise due mechanical vibrations, function average power extracted from them. We consider case which electrical resistance harvester can be changed time, and exploit tools work out solutions perturbative regime, close stationary state. Our results show that it possible design perform better than any solution with constant resistance.

Language: Английский

Citations

0
Partial stochastic resetting with refractory periods DOI Creative Commons
Kristian Stølevik Olsen, Hartmut Löwen

Journal of Physics A Mathematical and Theoretical, Journal Year: 2024, Volume and Issue: 57(48), P. 485001 - 485001

Published: Oct. 22, 2024

Abstract The effect of refractory periods in partial resetting processes is studied. Under Poissonian resets, a state variable jumps to value closer the origin by fixed fraction at constant rate, x → a . Following each reset, stationary period arbitrary duration takes place. We derive an exact closed-form expression for propagator Fourier–Laplace space, which shows rich dynamical features such as connections not only other schemes but also intermittent motion. For diffusive processes, we use expressions time dependent moments x all orders. At late times system reaches non-equilibrium steady form mixture distribution that splits into two subpopulations; trajectories any given regime find themselves freely evolving phase, and those are phase. In contrast conventional resetting, resets give rise non-trivial states even subpopulation. Moments cumulants associated with density studied, show universal optimum kurtosis can be found function mean time, determined solely strength inter-reset time. presented results could relevance growth-collapse inactivity following collapse.

Language: Английский

Citations

2
Shear-driven diffusion with stochastic resetting DOI
Iman Abdoli, Kristian Stølevik Olsen, Hartmut Löwen

et al.

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(11)

Published: Nov. 1, 2024

External flows, such as shear flow, add directional biases to particle motion, introducing anisotropic behavior into the system. Here, we explore non-equilibrium dynamics that emerge from interplay between linear flow and stochastic resetting. The diffuses with a constant diffusion coefficient while simultaneously experiencing being stochastically returned its initial position at rate. We perturbatively derive steady-state probability distribution captures effects of shear-induced anisotropy on spatial structure distribution. show dynamics, which initially spread diffusively, will late times reach steady state due At intermediate timescales, system approaches this either by passing through superdiffusive regime (in shear-dominated case) or exhibiting purely sub-diffusive resetting-dominated case). also gains cross correlations, feature absent in simpler resetting systems. skewness has non-monotonic when one passes regime. demonstrate small rates, energetic cost maintaining becomes significantly higher displacement caused shear, unique scaling not seen without shear. Surprisingly, if only x-position is reset, can maintain Brownian yet non-Gaussian pattern non-trivial tails

Language: Английский

Citations

2
Control of friction: Shortcuts and optimization for the rate- and state-variable equation DOI
Andrea Plati, Alberto Petri, Marco Baldovin

et al.

European Journal of Mechanics - A/Solids, Journal Year: 2024, Volume and Issue: 111, P. 105550 - 105550

Published: Dec. 30, 2024

Language: Английский

Citations

1
Thermodynamic work of partial resetting DOI Creative Commons
Kristian Stølevik Olsen, Deepak Gupta

arXiv (Cornell University), Journal Year: 2024, Volume and Issue: unknown

Published: Jan. 1, 2024

Partial resetting, whereby a state variable $x(t)$ is reset to value $a x (t)$, $0\leq \leq 1$, generalizes conventional resetting by introducing the strength $a$ as parameter. Here such processes are studied from thermodynamic perspective. The phase of dynamics implemented potential $Φ(x)$ that mediates resets in finite time. By working ensemble trajectories with fixed number resets, we study both steady-state properties propagator and its moments. work needed sustain this non-equilibrium steady investigated. We find different traps can give rise mean rate has widely dependence on $a$. Surprisingly, case mediated harmonic trap otherwise free diffusive motion, asymptotic insensitive For general anharmonic traps, be increasing or decreasing function strength, depending degree anharmonicity. Counter intuition, therefore some cases increase becomes weaker $(a\to 1)$ although vanishes at $a=1$. Work presence background also considered. Numerical simulations confirm our findings.

Language: Английский

Citations

0
Numerical Prediction of the Steady-State Distribution Under Stochastic Resetting from Measurements DOI Creative Commons
Yael Roichman

Published: Nov. 26, 2024

A common and effective method for calculating the steady-state distribution of a process under stochastic resetting is renewal approach that requires only knowledge reset-free propagator underlying time distribution. The widely used simple model systems such as freely diffusing particle with exponentially distributed times. However, in many real-world physical systems, propagator, distribution, or both are not always known beforehand. In this study, we develop numerical to determine probability positions based on measured system absence combined We apply validate our two distinct systems: one involving interacting particles other featuring strong environmental memory. Thus, can be predict steady state any system, provided free it undergoes complete resetting.

Language: Английский

Citations

0