Reversible feedback confinement

Granger, Léo; Dinís, Luis; Horowitz, Jordan M.; Parrondo, Juan M. R.

doi:10.1209/0295-5075/115/50007

Cited by 10 publications

(18 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the latter case, we showed that using instantaneous quenching of resetting profiles allows to restrict the mean-squared displacement of a Brownian particle to a desired value on a faster timescale than by using instantaneous potential quenches. We expect that such a shortcut to confinement would provide novel insights in ongoing research on, e.g., engineered-swift-equilibration protocols [65,66] and shortcuts to adiabaticity [67][68][69].…”

Section: Discussionmentioning

confidence: 99%

Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement

Roldán¹,

Gupta²

2017

Phys. Rev. E

View full text Add to dashboard Cite

We study the dynamics of overdamped Brownian particles diffusing in conservative force fields and undergoing stochastic resetting to a given location at a generic space-dependent rate of resetting. We present a systematic approach involving path integrals and elements of renewal theory that allows us to derive analytical expressions for a variety of statistics of the dynamics such as (i) the propagator prior to first reset, (ii) the distribution of the first-reset time, and (iii) the spatial distribution of the particle at long times. We apply our approach to several representative and hitherto unexplored examples of resetting dynamics. A particularly interesting example for which we find analytical expressions for the statistics of resetting is that of a Brownian particle trapped in a harmonic potential with a rate of resetting that depends on the instantaneous energy of the particle. We find that using energy-dependent resetting processes is more effective in achieving spatial confinement of Brownian particles on a faster time scale than performing quenches of parameters of the harmonic potential.

show abstract

Section: Discussionmentioning

confidence: 99%

Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement

Roldán¹,

Gupta²

2017

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…This prediction of power law behavior in both limits agrees qualitatively with the experimental data. Our motor is optimized as a function of cycle period only; however, it is worth to note that the performance of the engine can depend upon other control parameters too 9 , 20 . Therefore, the current protocol is not optimal for maximum power extraction.…”

Section: Results For Asymmetric Feedback Schemementioning

confidence: 99%

“…The design of an efficient Brownian motor operating away from equilibrium would serve as model for biological and artificial submicron scale machines. Recent advances in the field of information thermodynamics 4 – 20 have made possible to realize information-driven Brownian motors that can greatly enhance the directed motion of the particles and extract useful work by rectification of thermal noise. There were several studies about a colloidal particle trapped in a potential with feedback loop 9 , 13 , 18 , 21 , 22 .…”

Section: Introductionmentioning

confidence: 99%

An experimentally-achieved information-driven Brownian motor shows maximum power at the relaxation time

Lee

Paneru

et al. 2018

Sci Rep

View full text Add to dashboard Cite

We present an experimental realization of an information-driven Brownian motor by periodically cooling a Brownian particle trapped in a harmonic potential connected to a single heat bath, where cooling is carried out by the information process consisting of measurement and feedback control. We show that the random motion of the particle is rectified by symmetry-broken feedback cooling where the particle is cooled only when it resides on the specific side of the potential center at the instant of measurement. Studying how the motor thermodynamics depends on cycle period τ relative to the relaxation time τB of the Brownian particle, we find that the ratcheting of thermal noise produces the maximum work extraction when τ ≥ 5τB, while the extracted power is maximum near τ = τB, implying the optimal operating time for the ratcheting process. In addition, we find that the average transport velocity is monotonically decreased as τ increases and present the upper bound for the velocity.

show abstract

“…DDFT is based on the Smoluchowski equation [92] corresponding to the Langevin equation (1). The equivalent time-delayed Smoluchowski equation is known for the one-particle case [3, 86-88, 93, 94] and is briefly discussed in Sec.…”

Section: Dynamical Density Functional Theorymentioning

confidence: 99%

“…Next, the effect of a small perturbation ρ p (r, t) on a homogeneous state of constant density ρ 0 is investigated with ρ(r, t) = ρ 0 + ρ p (r, t) (36) being the space-and time-dependent density. We expand the direct correlation function c (1) (r) about the bulk fluid value ρ 0 up to linear order,…”

Section: Linear Stability Analysismentioning

confidence: 99%

Traveling band formation in feedback-driven colloids

2019

View full text Add to dashboard Cite

Using simulation and theory we study the dynamics of a colloidal suspension in two dimensions subject to a time-delayed repulsive feedback that depends on the positions of the colloidal particles. The colloidal particles experience an additional potential that is a superposition of repulsive potential energies centered around the positions of all the particles a delay time ago. Here we show that such a feedback leads to self-organization of the particles into traveling bands. The width of the bands and their propagation speed can be tuned by the delay time and the range of the imposed repulsive potential. The emerging traveling band behavior is observed in Brownian dynamics computer simulations as well as microscopic dynamic density functional theory (DDFT). Traveling band formation also persists in systems of finite size leading to rotating traveling waves in the case of circularly confined systems. arXiv:1904.08373v2 [cond-mat.soft]

show abstract

Reversible feedback confinement

Cited by 10 publications

References 43 publications

Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement

Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement

An experimentally-achieved information-driven Brownian motor shows maximum power at the relaxation time

Traveling band formation in feedback-driven colloids

Contact Info

Product

Resources

About