Resetting as a swift equilibration protocol in an anharmonic potential

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

Published: Aug. 12, 2024

We present and characterize a method to accelerate the relaxation of Brownian object between two distinct equilibrium states. Instead relying on deterministic time-dependent control parameter, we use stochastic resetting guide transient evolution. The protocol is investigated theoretically, its thermodynamic cost evaluated with tools thermodynamics. Remarkably, show that significantly accelerates final state. This exhibits energetic temporal characteristics align scales observed in previously protocols. Moreover, it expands spectrum stationary states can be manipulated, incorporating new potential profiles achievable through experimentally viable Published by American Physical Society 2024

Language: Английский

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Minimal work protocols for inertial particles in nonharmonic traps

Physical review. E, Journal Year: 2025, Volume and Issue: 111(3)

Published: March 25, 2025

Progress in miniaturized technology allows us to control physical systems at nanoscale with remarkable precision. Experimental advancements have sparked interest problems stochastic thermodynamics, typically concerning a time-dependent potential applied nanoparticle reach target stationary state given time minimal energy cost. We study this problem for particle subject thermal fluctuations regime that takes into account the effects of inertia, and, building on results previous work, we provide numerical method find optimal controls even non-Gaussian initial and final conditions, corresponding nonharmonic confinements. Although focus where driving is long compared characteristic relaxation times dynamics, protocol position distribution are qualitatively different from overdamped limit: particular, symmetry boundary which preserved absence turns out be broken underdamped regime. also show momentum mean tends constant value along trajectory, except close boundary, while evolution second moments highly nontrivial. Our support lower bound entropy production computed case tight adiabatic limit.

Language: Английский

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Optimal Control of Underdamped Systems: An Analytic Approach

Journal of Statistical Physics, Journal Year: 2024, Volume and Issue: 191(9)

Published: Sept. 17, 2024

Language: Английский

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Fluctuation-response relation in nonequilibrium systems and active matter

Physical review. E, Journal Year: 2025, Volume and Issue: 111(1)

Published: Jan. 2, 2025

We use dynamic equations to derive a relation between correlation functions and response or relaxation in many-body systems. The is very general holds both equilibrium, when the usual fluctuation-dissipation theorem valid, linear order an expansion about arbitrary nonequilibrium states, it not. It provides simple way observe microscopic correlations via system's macroscopic response, even situations where are difficult directly, not determined by standard commutator (i.e., antisymmetrized) functions. illustrate our results discussing fluids, equilibrium as well several active-matter

Language: Английский

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Achieving designed texture and flows in bulk active nematics using optimal control theory

The Journal of Chemical Physics, Journal Year: 2025, Volume and Issue: 162(13)

Published: April 1, 2025

Being intrinsically nonequilibrium, active materials can potentially perform functions that would be thermodynamically forbidden in passive materials. However, systems have diverse local attractors correspond to distinct dynamical states, many of which exhibit chaotic turbulent-like dynamics and thus cannot work or useful functions. Designing such a system choose specific state is formidable challenge. Motivated by recent advances enabling optogenetic control experimental materials, we describe an optimal theory framework identifies spatiotemporal sequence light-generated activity drives nematic toward prescribed steady state. Active nematics are unstable spontaneous defect proliferation streaming the absence control. We demonstrate compute fields redirect into variety alternative programs This includes dynamically reconfiguring between selecting stabilizing emergent behaviors do not attractors, hence uncontrolled system. Our results provide roadmap leverage optical methods rationally design structure, dynamics, function wide

Language: Английский

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Beyond Linear Response: Equivalence between Thermodynamic Geometry and Optimal Transport

Physical Review Letters, Journal Year: 2024, Volume and Issue: 133(5)

Published: July 31, 2024

A fundamental result of thermodynamic geometry is that the optimal, minimal-work protocol drives a nonequilibrium system between two states in slow-driving limit given by geodesic friction tensor, Riemannian metric defined on control space. For overdamped dynamics arbitrary dimensions, we demonstrate equivalent to L^{2} optimal transport space equilibrium distributions corresponding parameters. We show obtaining protocols past or linear response regime computationally tractable as sum tensor and counterdiabatic term related Fisher information metric. These geodesic-counterdiabatic are exact for parametric harmonic potentials, reproduce surprising nonmonotonic behavior recently discovered linearly biased double well protocols, explain ubiquitous discontinuous jumps observed at beginning end times.

Language: Английский

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Confined active particles with spatially dependent Lorentz force: An odd twist to the “best Fokker-Planck approximation”

Physical review. E, Journal Year: 2025, Volume and Issue: 111(2)

Published: Feb. 11, 2025

We derive a version of the so-called “best Fokker-Planck approximation” (BFPA) to describe spatial properties interacting active Ornstein-Uhlenbeck particles in arbitrary dimensions. In doing so, we also take into account odd-diffusive contribution Lorentz force acting on charged particle spatially dependent magnetic field, sticking overdamped limit. While BFPA itself does not turn out be widely useful, our general approach allows us deduce an appropriate generalization Fox approximation, which use characterize stationary behavior single external potential by deriving analytic expressions for configurational probability distributions (or effective potentials). agreement with computer simulations, theory predicts that reduces attraction and thus find vicinity repulsive wall. Even inhomogeneous theoretical findings provide useful qualitative insights, specifically regarding location accumulation regions. Published American Physical Society 2025

Language: Английский

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Optimal Control of an Electromechanical Energy Harvester

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

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Intrinsic Langevin dynamics of rigid inclusions on curved surfaces

Physical review. E, Journal Year: 2025, Volume and Issue: 111(4)

Published: April 17, 2025

The stochastic dynamics of a rigid inclusion constrained to move on curved surface has many applications in biological and soft matter physics, ranging from the diffusion passive or active membrane proteins motion phoretic particles liquid-liquid interfaces. Here we construct intrinsic Langevin equations for an oriented fixed using Cartan's method moving frames. We first derive Hamiltonian translational rotational momenta body frame. Surprisingly, curvature couples linear angular inclusion. then add friction, white noise, arbitrary configuration-dependent forces torques obtain phase space. provide integrability conditions, made nontrivial by curvature, admit potential, thus distinguishing between motion. corresponding Fokker-Planck equation geometric form fluctuation-dissipation relations that ensure Gibbsian equilibrium. extract overdamped adiabatically eliminating equation, showing how peculiar cancellation leads naively expected Smoluchowski limit. can be used accurate efficient Brownian simulations passive, driven, processes surfaces. Our work generalizes collective inclusions Published American Physical Society 2025

Language: Английский

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Markov State Model Approach to Simulate Self-Assembly

Physical Review X, Journal Year: 2024, Volume and Issue: 14(4)

Published: Dec. 10, 2024

Computational modeling of assembly is challenging for many systems, because their timescales can vastly exceed those accessible to simulations. This article describes the multiMSM, which a general framework that uses Markov state models (MSMs) enable simulating self-assembly and self-organization finite-sized structures on are orders magnitude longer than brute-force dynamics As with traditional MSM approaches, method efficiently overcomes free energy barriers other dynamical bottlenecks. In contrast previous approaches assembly, simultaneous clusters consequent depletion subunits or small oligomers. The algorithm accounts changes in transition rates as concentrations monomers intermediates evolve over course reaction. Using two model we show multiMSM accurately predicts full ensemble required reach equilibrium. Importantly, after constructing one system concentration, yields at be approximately calculated without any further sampling. capability allows additional speedup. addition, enables highly efficient calculation quantities such profiles, nucleation timescales, flux along pathways, entropy production rates. Identifying contributions individual transitions reveals sources kinetic traps. broadly applicable systems equilibrium nonequilibrium trivially parallelizable and, thus, scalable. Published by American Physical Society 2024

Language: Английский

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