Noise induced transport at microscale enabled by optical fields

Bhaban, Shreyas; Talukdar, Saurav; Salapaka, Murti V.

doi:10.1109/acc.2016.7526582

Cited by 4 publications

(8 citation statements)

References 30 publications

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“…Potential for single well obtained from Monte Carlo simulations and experiments. Experimental observations and Monte Carlo simulation predictions match well[14].…”

supporting

confidence: 58%

“…In this article, we utilize an experimentally characterized Monte Carlo simulation framework developed by the authors [14], [6] to study optimal erasure protocols. This simulation framework and the erasure protocol in [6] (referred as the duty ratio protocol) is used to generate the initial and final probability distributions for a fixed time to accomplish erasure of information.…”

Section: Introductionmentioning

confidence: 99%

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Realizing Information Erasure in Finite Time

Melbourne

Talukdar

Salapaka

2018

2018 IEEE Conference on Decision and Control (CDC)

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In this article, we focus on erasure of a bit of information in finite time. Landauer's principle states that the average heat dissipation due to erasure of information is kBT ln 2, which is achievable only in an asymptotic manner. Recent theoretical developments in non-equilibrium thermodynamics and stochastic control, predict a more general bound for finite time erasure dependent on the Wasserstein distances between the initial and final configurations. These predictions suggest improvements to experimental protocol with regards to minimizing average heat dissipation for bit erasure in finite time from a bistable well, under overdamped Langevin dynamics. We present a comparative study of a theoretically optimal protocol with an existing protocol, and highlight the closeness and deviation from optimality.

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“…Potential for single well obtained from Monte Carlo simulations and experiments. Experimental observations and Monte Carlo simulation predictions match well[14].…”

supporting

confidence: 58%

Section: Introductionmentioning

confidence: 99%

Realizing Information Erasure in Finite Time

Melbourne

Talukdar

Salapaka

2018

2018 IEEE Conference on Decision and Control (CDC)

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“…An in-vitro environment mimicking the habitat inside the cell is created in a glass chamber, where microtubule filaments are coated at the base of the glass chamber. Using the principles of optical trapping [11], [7], the cargo is trapped and brought close to the microtubules, to allow for the motor proteins connected to the cargo to attach to the microtubule as shown in Fig. 3.…”

Section: Introductionmentioning

confidence: 99%

“…1. The tail domain attaches to the cargo of interest while the motor heads take discrete steps (or Bead in an optical trap, as described in [7]. When the trapping laser beam is passed through a high numerical aperture objective, microscopic particles (such as the spherical bead) in the vicinity of the focus of the objective experience two kinds of forces (scattering and gradient forces) due to the momentum transfer onto the particles from the reflected and refracted rays of the laser.…”

Section: Introductionmentioning

confidence: 99%

Single Molecule Studies Enabled by Model-Based Controller Design

Bhaban

Talukdar

et al. 2018

IEEE/ASME Trans. Mechatron.

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Optical tweezers have enabled important insights into intracellular transport through the investigation of motor proteins, with their ability to manipulate particles at the microscale, affording femto newton force resolution. Its use to realize a constant force clamp has enabled vital insights into the behavior of motor proteins under different load conditions. However, the varying nature of disturbances and the effect of thermal noise pose key challenges to force regulation. Furthermore, often the main aim of many studies is to determine the motion of the motor and the statistics related to the motion, which can be at odds with the force regulation objective. In this article, we propose a mixed objective H2/H∞ optimization framework using a model-based design, that achieves the dual goals of force regulation and real time motion estimation with quantifiable guarantees. Here, we minimize the H∞ norm for the force regulation and error in step estimation while maintaining the H2 norm of the noise on step estimate within user specified bounds. We demonstrate the efficacy of the framework through extensive simulations and an experimental implementation using an optical tweezer setup with live samples of the motor protein ‘kinesin’; where regulation of forces below 1 piconewton with errors below 10% is obtained while simultaneously providing real time estimates of motor motion.

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“…respectively; but beyond the distance w from the locally stable equilibrium points L or −L, the bead undergoes a random walk [16,18]. Here, the stiffness of the laser trap (k) and width of the corresponding parabolic potential (w) are determined by characterization of the non-ideal harmonic potential obtained due to a single trap, as described in the supplementary material [16].…”

mentioning

confidence: 99%

Memory erasure using time-multiplexed potentials

2017

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We study the thermodynamics of a Brownian particle under the influence of a time multiplexed harmonic potential of finite width. The memory storage mechanism and the erasure protocol realized by time multiplexed potentials are utilized to experimentally realize erasure with work close to the Landauer's bound. We quantify the work done on the system with respect to the duty-ratio of time multiplexing, which also provides a handle to approach reversible erasures. A Langevin dynamics based simulation model is developed for the proposed memory bit and the erasure protocol, which guides the experimental realization. The study also provides insights into transport at the micro scale. PACS numbers: 05.40.-a, 05.70.LnThe Landauer's principle, pioneered by Rolf Landauer in 1961, provides a critical link between information theory and thermodynamics of physical systems [1]. It states that there is no process where the work done to erase one bit of information is less than k b T ln 2 (Landauer's bound), when the prior probability of the bit being in any of the two states is equal [2]. Here, k b is the Boltzmann constant and T is the temperature of the heat bath.Numerous analyses have established the Landauer's bound through different approaches [3][4][5][6][7]. The experimental study of Landauer's bound has only recently be- In this article, we study the stochastic energetics of transport realized by time multiplexing of a finite width harmonic potential to effectively realize a bi-stable potential. Here a single laser in an optical tweezer setup, is multiplexed at two locations with varying dwell times to create a series of potentials (symmetric as well as asymmetric bi-stable potentials), that effectuates the erasure process. Moreover, experimental variables to realize reversible erasure are identified and utilized for approaching the Landauer's bound. A Langevin framework for a Brownian particle under the influence of a time multiplexed laser is developed and is shown to obey quantitative trends observed in experiments. We use our method of shaping the potential, by changing the dwell time of multiplexing of the laser, to erase one bit of information. The ease of implementation and the high-resolution accounting of energetics enabled by photodiode based measurements are other advantages of the method reported. We resort to Sekimoto's stochastic energetics [12][13][14][15] framework to quantify the work done on the system in the erasure process. The underlying principles developed in this article are applicable toward the study of transport achieved by time multiplexing of a single potential, and are not restricted to realizations based on optical traps.Experiment and Simulation Model for one-bit Memory: A Brownian particle in a double well potential is used to model a one-bit memory. The memory is designated the state 'zero' if the particle is in the left well, and the state 'one' if it is in the right well. We realize a Brownian particle in a harmonic potential of finite width experimentally, by using a custom built op...

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Noise induced transport at microscale enabled by optical fields

Cited by 4 publications

References 30 publications

Realizing Information Erasure in Finite Time

Realizing Information Erasure in Finite Time

Single Molecule Studies Enabled by Model-Based Controller Design

Memory erasure using time-multiplexed potentials

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