Towards Stirling engine using an optically confined particle subjected to asymmetric temperature profile

Nalupurackal, Gokul; Lokesh, Muruga; Suresh, S A; Roy, Srestha; Chakraborty, Snigdhadev; Goswami, Jayesh; Gunaseelan, M.; Pal, A.; Roy, Basudev

doi:10.1088/1367-2630/acd94e

Cited by 3 publications

(3 citation statements)

References 57 publications

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“…For instance, we assumed that both the potential and the boundaries move at the same velocity v. It would be interesting to explore what happens if we relax this condition and allow them to move with different velocities. Concluding, we believe that our results can be tested using controlled optical trap experiments [72,75,76] which, hopefully, will also unfold new research directions to this problem.…”

Section: Discussionmentioning

confidence: 75%

Work statistics at first-passage times

Mamede,

Singh,

Pal

et al. 2024

New J. Phys.

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We investigate the work fluctuations in an overdamped non-equilibrium process that is stopped at a stochastic time. The latter is characterized by a first passage event that marks the completion of the non-equilibrium process. In particular, we consider a particle diffusing in one dimension in the presence of a time-dependent potential $U(x,t) = k |x-vt|^n/n$, where $k>0$ is the stiffness and $n>0$ is the order of the potential. Moreover, the particle is confined between two absorbing walls, located at $L_{\pm}(t) $, that move with a constant velocity $v$ and are initially located at $L_{\pm}(0) = \pm L$. As soon as the particle reaches any of the boundaries, the process is said to be completed and here, we compute the work done $W$ by the particle in the modulated trap upto this random time. Employing the Feynman-Kac path integral approach, we find that the typical values of the work scale with $L$ with a crucial dependence on the order $n$. While for $n>1$, we show that $\mom{W} \sim L^{1-n}~\exp \left[ \left( {k L^{n}}/{n}-v L \right)/D \right] $ for large $L$, we get an algebraic scaling of the form $\mom{W} \sim L^n$ for the $n<1$ case. The marginal case of $n=1$ is exactly solvable and our analysis unravels three distinct scaling behaviours: (i) $\mom{W} \sim L$ for $v>k$, (ii) $\mom{W} \sim L^2$ for $v=k$ and (iii) $\mom{W} \sim \exp\left[{-(v-k)L}\right]$ for $v<k$. For all cases, we also obtain the probability distribution associated with the typical values of $W$. Finally, we observe an interesting set of relations between the relative fluctuations of the work done and the first-passage time for different $n$ -- which we argue physically. Our results are well supported by the numerical simulations.

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Section: Discussionmentioning

confidence: 75%

Work statistics at first-passage times

Mamede,

Singh,

Pal

et al. 2024

New J. Phys.

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“…Further experimental and theoretical efforts based on this model system could help to investigate other relevant aspects on the stochastic energetics at strong coupling under more intricate conditions, e.g. in thermally-activated escape processes over energetic barriers with memory friction [98], the efficiency of cyclic Brownian engines operating in non-Newtonian fluids [63,65,66], and work fluctuations of colloids periodically or stochastically driven in viscoelastic media [99,100]. stationarity of the system at thermal equilibrium.…”

Section: Summary and Concluding Remarksmentioning

confidence: 99%

“…In turn, such problems are of great relevance in many applications at mesoscopic scales, e.g. the micromanipulation of colloidal probes in soft materials [61,62], the operation of Brownian heat engines in complex media [63][64][65][66], and the controlled microswimming in viscoelastic environments [67][68][69][70].…”

Section: Introductionmentioning

confidence: 99%

Stochastic energetics of a colloidal particle trapped in a viscoelastic bath

Darabi,

Ferrer,

Gomez-Solano

2023

New J. Phys.

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We investigate the statistics of the fluctuations of the energy transfer between an overdamped Brownian particle, whose motion is confined by a stationary harmonic potential, and a surrounding viscoelastic fluid at constant temperature. We derive an analytical expression for the probability density function of the energy exchanged with the fluid over a finite time interval, which implicitly involves the friction memory kernel that encodes the coupling with such a non-Markovian environment, and reduces to the well known expression for the heat distribution in a viscous fluid. We show that, while the odd moments of this distribution are zero, the even moments can be explicitly expressed in terms of the autocorrelation function of the particle position, which generally exhibits a non-mono-exponential decay when the fluid bath is viscoelastic. Our results are verified by experimental measurements for an optically-trapped colloidal bead in semidilute micellar and polymer solutions, finding and excellent agreement for all time intervals over which the energy exchange takes place.

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High-resolution detection of pitch rotation in an optically confined hexagonal-shaped upconverting particle

Chakraborty,

Nalupurackal,

Roy

et al. 2023

Opt. Express

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A rigid body can have six degrees of freedom, of which three are with rotational origin. In the nomenclature of the airlines, the in-plane degree of rotational freedom can be called yaw while the first out-of-plane degree of freedom can be called pitch with the second one being called roll. Among these, only the yaw sense has been studied extensively in the optical tweezers literature, while the pitch rotation is starting to be explored. In this paper, we show a way to detect the pitch rotation in a hexagonal-shaped particle using photonic force microscopy using the forward scattered light under crossed polarizers and making it incident on a split photodiode. In this way, the pitch angle can be detected at high resolution and bandwidth. We apply this technique to detect continuous pitch rotation and also exhibit a power spectral density for an anisotropic particle optically trapped in a linearly polarized light and exhibiting Brownian motion.

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Towards Stirling engine using an optically confined particle subjected to asymmetric temperature profile

Cited by 3 publications

References 57 publications

Work statistics at first-passage times

Work statistics at first-passage times

Stochastic energetics of a colloidal particle trapped in a viscoelastic bath

High-resolution detection of pitch rotation in an optically confined hexagonal-shaped upconverting particle

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