Anomalous Brownian refrigerator

Rana, Shubhashis; Pal, P. S.; Saha, Arnab; Jayannavar, A. M.

doi:10.1016/j.physa.2015.10.095

Cited by 23 publications

(42 citation statements)

References 65 publications

(88 reference statements)

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“…As opposed to the protocols in [10,11], our protocol does not exhibit Carnot efficiency for any values of T h and T l in the overdamped quasistatic limit. This is due to the equal adiabatic jump heights in our protocol.…”

Section: Overdamped Dynamicsmentioning

confidence: 59%

“…Different operational mode of the system appears at different values of τ and T h T l , which are described by the phase diagram in τ − T h plane for fixed T l . In the following we extend our previous studies [10,11] by driving the single particle heat engine and refrigerator with time-asymmetric protocols. Here we will analyse the thermodynamics of the system in quasistatic as well as nonquasistatic regime, driven by the protocol having fixed τ but with unequal lengths of the isothermal steps along the time axis (i.e.…”

mentioning

confidence: 76%

“…Using the definition of heat and work for engine protocol one can define efficiency as η = −w −q 1 (11) and for refrigerator protocol COP as…”

Section: Stochastic Thermodynamicsmentioning

confidence: 99%

“…Phase diagram shows several interesting features, often counterintuitive. The distribution of stochastic efficiency and COP is broad and exhibits power law tails.In recent years a lot of interest has been generated in the study of stochastic single particle heat engines and refrigerators [1,2,3,4,5,6,7,8,9,10,11]. Engines at nanoscale are ubiquitous in biology [12,13,14] and become increasingly pertinent synthetically.…”

mentioning

confidence: 99%

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Operational characteristics of single-particle heat engines and refrigerators with time-asymmetric protocol

Pal

Saha

Jayannavar

2016

Int. J. Mod. Phys. B

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We have studied the single particle heat engine and refrigerator driven by time asymmetric protocol of finite duration. Our system consists of a particle in a harmonic trap with time-periodic strength that drives the particle cyclically between two baths. Each cycle consists of two isothermal steps at different temperatures and two adiabatic steps connecting them. The system works in irreversible mode of operation even in the quasistatic regime. This is indicated by finite entropy production even in the large cycle time limit. Consequently, Carnot efficiency for heat engine or Carnot Co-efficient of performance (COP) for refrigerators are not achievable. We further analysed the phase diagram of heat engines and refrigerators. They are sensitive to time-asymmetry of the protocol. Phase diagram shows several interesting features, often counterintuitive. The distribution of stochastic efficiency and COP is broad and exhibits power law tails.In recent years a lot of interest has been generated in the study of stochastic single particle heat engines and refrigerators [1,2,3,4,5,6,7,8,9,10,11]. Engines at nanoscale are ubiquitous in biology [12,13,14] and become increasingly pertinent synthetically. With the progress of technology micrometer sized stochastic heat engines have been realised experimentally [15,16,17,18]. At these length scales thermal fluctuation plays a pivotal role in determining the performance characteristics of the system. Typical energy transformations (work and heat) in these systems are of the order of k B T , where T is the temperature of the surrounding reservoir.Therefore taking account of thermal fluctuations is an absolute necessity to achieve engineering capabilities in designing such small scale devices [19].The apt theory for the thermodynamics of small scale devices comes under the frame work of stochastic thermodynamics where the macroscopic thermodynamic variables (e.g. work, heat, total entropy, internal energy etc.) are defined over a single trajectory and thereby differs stochastically from one measurement to another [20,21,22,23,24,25,26,27]. Besides validating macro thermodynamics after averaging over all possible trajectories, the new frame work offers first law like equality defined over a single trajectory and fluctuation theorems [28,29,30,31,32,33], a set of equalities between stochastically varying thermodynamic variables that put rigorous constraints to their distributions.Using stochastic thermodynamics microscopic heat engines and refrigerators have been explored. Extensive studies including both quasistatic and nonquasistatic regime have been done on systems consisting of a harmonically trapped Brownian particle driven periodically (with period τ ) by the time dependent strength of the confining potential within two thermal reservers having different temperatures T h and T l where T h > T l [10,11]. The protocol studied in [10,11] consists of two isotherms having equal length along time axis (that is why the protocol can be termed as time-symmetric) and two adia...

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Section: Overdamped Dynamicsmentioning

confidence: 59%

mentioning

confidence: 76%

“…Using the definition of heat and work for engine protocol one can define efficiency as η = −w −q 1 (11) and for refrigerator protocol COP as…”

Section: Stochastic Thermodynamicsmentioning

confidence: 99%

mentioning

confidence: 99%

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Operational characteristics of single-particle heat engines and refrigerators with time-asymmetric protocol

Pal

Saha

Jayannavar

2016

Int. J. Mod. Phys. B

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“…The ratio of these variables yields the efficiency which is thus itself random variable. Large deviation form of the corresponding probability distribution exhibits the following universal features [40][41][42][43][44][45][46][47][48]: (i) the most probable value of efficiency corresponds to its traditional definition using averages of work and heat, (ii) in case of time-reversal symmetric driving the least probable value of efficiency equals to η C .…”

Section: Introductionmentioning

confidence: 99%

Efficiency at and near maximum power of low-dissipation heat engines

Holubec

Ryabov

2015

Phys. Rev. E

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A new universality in optimization of trade-off between power and efficiency for low-dissipation Carnot cycles is presented. It is shown that any trade-off measure expressible in terms of efficiency and the ratio of power to its maximum value can be optimized independently of most details of the dynamics and of the coupling to thermal reservoirs. The result is demonstrated on two specific trade-off measures. The first one is designed for finding optimal efficiency for a given output power and clearly reveals diseconomy of engines working at maximum power. As the second example we derive universal lower and upper bounds on the efficiency at maximum trade-off given by the product of power and efficiency. The results are illustrated on a model of a diffusion-based heat engine. Such engines operate in the low-dissipation regime given that the used driving minimizes the work dissipated during the isothermal branches. The peculiarities of the corresponding optimization procedure are reviewed and thoroughly discussed.

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Microscopic thermal machines using run-and-tumble particles

Kumari

Lahiri

2021

Pramana - J Phys

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Anomalous Brownian refrigerator

Cited by 23 publications

References 65 publications

Operational characteristics of single-particle heat engines and refrigerators with time-asymmetric protocol

Operational characteristics of single-particle heat engines and refrigerators with time-asymmetric protocol

Efficiency at and near maximum power of low-dissipation heat engines

Microscopic thermal machines using run-and-tumble particles

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