Experimental characterization of autonomous heat engine based on minimal dynamical-system model

Toyabe, Shoichi; Izumida, Yuki

doi:10.1103/physrevresearch.2.033146

Cited by 9 publications

(24 citation statements)

References 24 publications

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“…Besides the resemblance of the engine dynamics to those of a damped forced pendulum, there is also a qualitative resemblance to the dynamical behaviour of the Stirling engine as explained in [39]. Specifically, a Stirling engine can be modeled as a periodic nonlinear pendulum, and its equilibrium modes have been experimentally shown to be same as those of our stochastic heat engine [40]. Thus, the analysis presented herein can be used to establish the existence of periodic orbits for the macroscopic Stirling engine, and to identify conditions for which periodic motion persists.…”

Section: Final Remarksmentioning

confidence: 58%

Thermodynamic engine powered by anisotropic fluctuations

Miangolarra¹,

Taghvaei²,

Chen³

et al. 2022

Preprint

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The purpose of this work is to present the concept of an autonomous Stirling-like engine powered by anisotropy of thermodynamic fluctuations. Specifically, simultaneous contact of a thermodynamic system with two heat baths along coupled degrees of freedom generates torque and circulatory currents -an arrangement referred to as a Brownian gyrator. The embodiment that constitutes the engine includes an inertial wheel to sustain rotary motion and average out the generated fluctuating torque, ultimately delivering power to an external load. We detail an electrical model for such an engine that consists of two resistors in different temperatures and three reactive elements in the form of variable capacitors. The resistors generate Johnson-Nyquist current fluctuations that power the engine, while the capacitors generate driving forces via a coupling of their dielectric material with the inertial wheel. A proof-of-concept is established via stability analysis to ensure the existence of a stable periodic orbit generating sustained power output. We conclude by drawing a connection to the dynamics of a damped pendulum with constant torque and to those of a macroscopic Stirling engine. The sought insights aim at nano-engines and biological processes that are similarly powered by anisotropy in temperature and chemical potentials.

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Section: Final Remarksmentioning

confidence: 58%

Thermodynamic engine powered by anisotropic fluctuations

Miangolarra¹,

Taghvaei²,

Chen³

et al. 2022

Preprint

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“…Conversely, the pressure-volume diagram of an LTD Stirling engine is presented as a circular shape as shown in Fig. 1 (c), which is observed in the experiments on LTD kinematic Stirling engines [8,23]. While the above thermodynamic processes of the ideal cycle become vaguer and may not be fully discriminated from each other for an LTD Stirling engine, they can operate autonomously without being controlled by external agents.…”

Section: Model a Setupmentioning

confidence: 93%

“…Moreover, it was shown that the limit cycle disappears via a homoclinic bifurcation [7], with the temperature difference being the bifurcation parameter. The model was recently used to explain the experimental results on an LTD kinematic Stirling engine [8]. It was demonstrated that the core dynamics of the engine are captured by the simple dynamical equations with some modifications that are associated with a few fitting parameters.…”

Section: Introductionmentioning

confidence: 99%

Quasilinear irreversible thermodynamics of a low-temperature-differential kinematic Stirling heat engine

Izumida

2020

Phys. Rev. E

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Low-temperature-differential (LTD) Stirling heat engines are able to operate with a small temperature difference between low-temperature heat reservoirs that exist in our daily lives, and thus they are considered to be an important sustainable energy technology. The author recently proposed a nonlinear dynamics model of an LTD kinematic Stirling heat engine to study the rotational mechanism of the engine [Y. Izumida, Europhys. Lett. 121, 50004 (2018)]. This paper presents our study of the nonequilibrium thermodynamics analysis of this engine model, where a load torque against which the engine does work is introduced. We demonstrate that the engine's rotational state is in a quasilinear response regime where the thermodynamic fluxes show a linear dependence on the thermodynamic forces. Significantly, it is found that the response coefficients of the quasilinear relations are symmetric, which is similar to Onsager symmetry in linear irreversible thermodynamics. Based on these relations, we formulate the maximum efficiency of the engine. We also elucidate that the symmetry of the quasilinear response coefficients emerges by reflecting the (anti-)reciprocity of the Onsager kinetic coefficients identified for the relaxation dynamics of the engine in the vicinity of an equilibrium state. We expect that the present study will pave the way for developing nonequilibrium thermodynamics of autonomous heat engines described as a nonlinear dynamical system.

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“…Third, an SE features external combustion; the driving energy (heat) is provided outside the cylinder. This optimizes efficiency.Furthermore, air pollutants are not emitted.Recently, Toyabe and Izumida experimentally investigated the non-equilibrium dynamics and thermodynamics of a low-temperature-differential Stirling engine [2].The driving thermodynamic force and underlying dynamics of the Stirling cycle could be described using the simple dynamic model established by Izumida [3]. The equations of this simple dynamic model have been extensively used in the field of bifurcation; there are only two degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

Molecular dynamics study of a nano-scale β-type Stirling engine

Kitaya

Isobe

2022

J. Phys.: Conf. Ser.

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A Stirling engine is based on a thermodynamic cycle; a temperature difference causes flywheel rotation. Because the arbitrary (stochastic) heat resources contact some of the systems that generate the work (i.e., the energy), Stirling engines remain important in the present era of Sustainable Development Goals because of their broad applicability. This study focuses on a nano-scale “β-type” Stirling engine, specifically concerning a model for numerical simulation. We perform molecular dynamics simulation of the two-dimensional model (using hundreds of particles) and calculate the thermal efficiency. We figured out the minimal necessary conditions for stable rotation, as well as the lower limits of particle numbers and temperature differences for autonomous thermodynamic cycles.

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Experimental characterization of autonomous heat engine based on minimal dynamical-system model

Cited by 9 publications

References 24 publications

Thermodynamic engine powered by anisotropic fluctuations

Thermodynamic engine powered by anisotropic fluctuations

Quasilinear irreversible thermodynamics of a low-temperature-differential kinematic Stirling heat engine

Molecular dynamics study of a nano-scale β-type Stirling engine

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