Fluctuation theorem between non-equilibrium states in an<i>RC</i>circuit

Granger, Léo; Mehlis, Jumna; Roldán, Édgar; Ciliberto, S.; Kantz, Holger

doi:10.1088/1367-2630/17/6/065005

Cited by 5 publications

(6 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been shown that the injected power gives information about the interaction of the system with its surroundings [6,9,11,27], since it provides the necessary energy to sustain the system in a nonequilibrium steady state. In this case, P(ζ, V ) is the bivariate normal distribution of random variables ζ and V with zero means.…”

Section: Brownian Motion Analog Circuitmentioning

confidence: 99%

“…Out-of-equilibrium experiments are a rich and active subject of study in Physics. Out-of-equilibrium experiments have involved the use of a wide range of systems under observation such as colloidal particles in optical traps [1][2][3], mechanical harmonic oscillators [4], turbulent flows [5,6], vibrating metallic plates [7,8], electrical circuits [9][10][11][12], DNA molecules [13,14], a gravitational wave detector [15] and granular media [16][17][18][19][20][21]. All of the previously mentioned experiments have measured the energy or power fluctuations of the system under out-ofequilibrium states and via its probability density function (PDF) with the goal of estimating system properties or testing theoretical findings [20,21].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Injected power fluctuations for a non-equilibrium electronic disspative system in space

Ogalde,

Falcón,

Díaz

2021

Preprint

View full text Add to dashboard Cite

In this article we present an experimental study of the statistical properties for the injected power fluctuations of a dissipative system as a function of external environmental conditions. A Brownian motion analog is implemented using a series resistor and capacitor circuit with an Orstein-Ulhenbeck forcing. This system is tested in a controlled thermal bath at the laboratory, setting the bath temperature and different bath atmospheric pressures. The non-equilibrium system shows a higher correlation factor between the external forcing and the system response with increasing bath atmospheric pressure at constant temperature. These results were put to test in an uncontrolled bath such as space, by using a satellite orbiting at 505 km of altitude. A reduced version of the previous experiment was built to fit the satellite capabilities and was successfully integrated in the inner side of the satellite and then run in several locations of its orbit.

show abstract

Section: Brownian Motion Analog Circuitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Injected power fluctuations for a non-equilibrium electronic disspative system in space

Ogalde,

Falcón,

Díaz

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…The generating function (24), both for finite-time and periodic-NESS protocols with the duration or the period T can be written as follows…”

Section: Calculation Of P (W − ∆F )mentioning

confidence: 99%

“…Experimental verifications of dierent kinds of fluctuation relations have been initiated by measurements in biological systems [15] and then undertaken in various classical systems, such as mechanical [16][17][18], biological [19,20], and condensed matter systems both in contact with equilibrium [10,[21][22][23][24][25] and non-equilibrium [26] environments. In most of these systems, thermodynamic variables (work, heat, or entropy) have been extracted indirectly via the measurement of the microscopic state of the system (a position of the bead in a laser tweezer, an instantaneous angular deflection of the rotation pendulum, a charge state of a Coulomb-blockaded device and so on).…”

Section: Introductionmentioning

confidence: 99%

Time-reversal symmetric Crooks and Gallavotti–Cohen fluctuation relations in driven classical Markovian systems

Mandaiya¹,

Khaymovich²

2019

J. Stat. Mech.

View full text Add to dashboard Cite

In this paper, we address an important question of the relationship between fluctuation theorems for the dissipated work W d = W −∆F with general finitetime (like Jarzynski equality and Crooks relation) and infinite-time (like Gallavotti-Cohen theorem) drive protocols and their time-reversal symmetric versions. The relations between these kinds of fluctuation relations are uncovered based on the examples of a classical Markovian N -level system. Further consequences of these relations are discussed with respect to the possible experimental verifications.

show abstract

“…explored by Granger et al for an RC-circuit [17]. Alemany et al present data and theory on the modification of fluctuation theorems for partially equilibrated initial states of DNA-hairpins, closing with a perspective on thermodynamic inference based on partial experimental data [18].…”

mentioning

confidence: 99%

Focus on stochastic thermodynamics

2016

View full text Add to dashboard Cite

We introduce the thirty papers collected in this 'focus on' issue. The contributions explore conceptual issues within and around stochastic thermodynamics, use this framework for the theoretical modeling and experimental investigation of specific systems, and provide further perspectives on and for this active field.Over the last ten years, stochastic thermodynamics has evolved into a comprehensive framework for describing small driven systems using the notions of classical thermodynamics like work, heat and entropy production on the level of individual fluctuating trajectories as reviewed in [1][2][3][4]. The present 'focus on' selection reports on the latest developments and presents new perspectives in the field, both theoretical and experimental. The thirty articles featured in this collection can roughly be ordered into six, partially overlapping, groups.One original motivation for developing classical thermodynamics was to understand the laws governing heat engines and to optimize their performance. Within stochastic thermodynamics, these issues are explored for micro-and nano-sized engines which has led to new insight valid even for macroscopic engines. Calvo Hernandez et al discuss the role of a finite cycle-time and the inevitable dissipation coming with it in an approach that unifies heat engines and refrigerators for which they derive and discuss optimization criteria [5]. For such cyclic engines, Izumida and Okuda present a phenomenological theory along the lines of linear irreversible thermodynamics based on a local equilibrium assumption [6]. Sheng and Tu discuss a hidden symmetry and higher order constitutive relations for tightly coupled heat engines [7]. If a steady-state engine runs only for a finite time, output and input will be fluctuating quantities leading to the concept of stochastic efficiency that can be analyzed using a large deviation approach. Gingrich et al investigate the subtleties arising in time-asymmetric steady-state heat engines [8]. Proesmans and Van den Broeck investigate and illustrate stochastic efficiency with five case studies including examples of isothermal engines [9].Molecular motors and, more generally, all cellular and biochemical processes typically run under isothermal conditions. A paradigmatic motor is the F1-ATPase for which Toyabe and Muneyuki present experimental results studying the response of single molecules to an external torque [10]. Two theoretical papers deal with the efficiency of molecular motors. Schmitt et al discuss the interplay between a power-stroke mechanism and rectification of thermal fluctuations through ATP consumption [11]. Zuckermann et al explore the role of persistence for creating linear motion without spatial or temporal asymmetry [12]. Copolymerization against an external force shares some similarities with molecular motors. Gaspard investigates how the force-velocity relation, entropy production and other quantities depends on the type of polymerization and the presence of disorder [13]. Lahiri et al study kinetics and thermodyna...

show abstract

Fluctuation theorem between non-equilibrium states in anRCcircuit

Cited by 5 publications

References 39 publications

Injected power fluctuations for a non-equilibrium electronic disspative system in space

Injected power fluctuations for a non-equilibrium electronic disspative system in space

Time-reversal symmetric Crooks and Gallavotti–Cohen fluctuation relations in driven classical Markovian systems

Focus on stochastic thermodynamics

Contact Info

Product

Resources

About