Entropy production and fluctuation theorems under feedback control: the molecular refrigerator model revisited

被引:38
|
作者
Munakata, T. [1 ]
Rosinberg, M. L. [2 ]
机构
[1] Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Kyoto 6068501, Japan
[2] Univ Paris 06, Lab Phys Theor Mat Condensee, F-75252 Paris 05, France
关键词
stochastic particle dynamics (theory); stationary states; large deviations in non-equilibrium systems; THERMODYNAMICS;
D O I
10.1088/1742-5468/2012/05/P05010
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We revisit the model of a Brownian particle in a heat bath submitted to an actively controlled force proportional to the velocity that leads to thermal noise reduction (cold damping). We investigate the influence of the continuous feedback on the fluctuations of the total entropy production and show that the explicit expression of the detailed fluctuation theorem involves different dynamics and observables in the forward and backward processes. As an illustration, we study the analytically solvable case of a harmonic oscillator and calculate the characteristic function of the entropy production in a nonequilibrium steady state. We then determine the corresponding large deviation function which results from an unusual interplay between 'boundary' and 'bulk' contributions.
引用
收藏
页数:21
相关论文
共 50 条
  • [41] Time Delayed Feedback Control of Internet Congestion Control Model with Compound TCP under RED
    Wang, Han
    Ding, Dawei
    Cao, Tianren
    Sun, Rui
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON LOGISTICS, ENGINEERING, MANAGEMENT AND COMPUTER SCIENCE (LEMCS 2015), 2015, 117 : 35 - 40
  • [42] Experimental Research on Compensation for Power Fluctuation of the Renewable Energy Using the SMES Under the State-of-Current Feedback Control
    Miyagi, Daisuke
    Sato, Ryosuke
    Ishida, Natsumi
    Sato, Yuuki
    Tsuda, Makoto
    Hamajima, Takataro
    Shintomi, Takakazu
    Makida, Yasuhiro
    Takao, Tomoaki
    Iwaki, Katsuya
    IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, 2015, 25 (03)
  • [43] Closed-Loop Feedback Control for Production Optimization of Intelligent Wells Under Uncertainty
    Dilib, F. A.
    Jackson, M. D.
    SPE PRODUCTION & OPERATIONS, 2013, 28 (04): : 345 - 357
  • [44] Output-Feedback Model Predictive Control for Systems under Uniform Disturbances
    Pavelkova, Lenka Kuklisova
    Belda, Kvetoslav
    2020 7TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT'20), VOL 1, 2020, : 897 - 902
  • [45] Production scheduling under demand uncertainty in the presence of feedback: Model comparisons, insights, and paradoxes
    Avadiappan, Venkatachalam
    Gupta, Dhruv
    Maravelias, Christos T.
    COMPUTERS & CHEMICAL ENGINEERING, 2022, 168
  • [46] Online geometry assurance in individualized production by feedback control and model calibration of digital twins
    Sjoberg, Anders
    Onnheim, Magnus
    Frost, Otto
    Cronrath, Constantin
    Gustavsson, Emil
    Lennartson, Bengt
    Jirstrand, Mats
    JOURNAL OF MANUFACTURING SYSTEMS, 2023, 66 : 71 - 81
  • [47] Nonequilibrium entropy production under the effect of the dual-phase-lag heat conduction model
    Al-Nimr, MA
    Naji, M
    Arbaci, VS
    JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2000, 122 (02): : 217 - 223
  • [48] On Structural Properties of Optimal Feedback Control of Traffic Flow under the Cell Transmission Model
    Jafari, Saeid
    Savla, Ketan
    2019 AMERICAN CONTROL CONFERENCE (ACC), 2019, : 3309 - 3314
  • [49] Splitting instability of cellular structures in the Ginzburg-Landau model under feedback control
    Sakaguchi, Hidetsugu
    PHYSICAL REVIEW E, 2009, 80 (01):
  • [50] An optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraint
    Molina, Emilio
    Rapaport, Alain
    AUTOMATICA, 2022, 146