Abstract
Throughout this thesis, we discussed a range of topics, all concerned with the general goal of better understanding the energetic and entropic flows in microscopic systems operating out of thermodynamic equilibrium. Beginning with the experimental design of efficient unfolding protocols of a DNA hairpin, we added confidence that simple near-equilibrium models can have significant utility in understanding the nonequilibrium physics of in vivo biological systems. Continuing, our theoretical investigations throughout the remainder of the thesis generalized the existing framework of optimal control in stochastic systems and embedded this framework into the broader context of stochastic thermodynamics. Ultimately, this body of research paves the way to more accurately treat the inner workings of biological molecular machines through the lens of control theory, towards the end of understanding the evolutionary design principles underlying their design.
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Notes
- 1.
There are subtle, but important differences between splitting the entropy production into that which is due to each subsystem’s dynamics, and that which is due to visible and hidden coordinates, even if one of the systems is visible and the other is hidden. Ultimately, this is because the transition rates of the visible system depend—through local detailed balance—on the state of the hidden system.
References
A.C. Barato, U. Seifert, Thermodynamic uncertainty relation for biomolecular processes. Phys. Rev. Lett. 114, 158101 (2015)
T.R. Gingrich, J.M. Horowitz, N. Perunov, J.L. England, Dissipation bounds all steady-state current fluctuations. Phys. Rev. Lett. 116, 120601 (2016)
P. Pietzonka, F. Ritort, U. Seifert, Finite-time generalization of the thermodynamic uncertainty relation. Phys. Rev. E 96, 012101 (2017)
T. Koyuk, U. Seifert, P. Pietzonka, A generalization of the thermodynamic uncertainty relation to periodically driven systems. J. Phys. A: Math. Theor. 52, 02LT02 (2019)
J.M. Horowitz, T.R. Gingrich, Proof of finite-time thermodynamic uncertainty relation for steady-state currents. Phys. Rev. E 96, 020103(R) (2017)
C. Jarzynski, Nonequilibrium equality for free energy differences. Phys. Rev. Lett. 78, 2690 (1997)
G.E. Crooks, Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences. Phys. Rev. E 60, 2721 (1999)
F. Weinhold, Metric geometry of equilibrium thermodynamics. J. Chem. Phys. 63(6), 2479–2483 (1975)
G. Ruppeiner, Thermodynamics: a Riemannian geometric model. Phys. Rev. A 20, 1608 (1979)
F. Schlögl, A connection between correlations and the order of bit-number cumulants. Z. Phys. B 59, 449 (1985)
G.E. Crooks, Measuring thermodynamic length. Phys. Rev. Lett. 99, 100602 (2007)
D.A. Sivak, G.E. Crooks, Thermodynamic metrics and optimal paths. Phys. Rev. Lett. 108, 190602 (2012)
J. Nulton, P. Salamon, B. Andresen, Q. Amin, Quasistatic processes as step equilibrations. J. Chem. Phys. 83, 334 (1985)
B.B. Machta, Dissipation bound for thermodynamic control. Phys. Rev. Lett. 115, 260603 (2015)
S.J. Bryant, B.B. Machta, Energy dissipation bounds for autonomous thermodynamic cycles. Proc. Natl. Acad. Sci. U. S. A. 117(7), 3478–3483 (2020)
U. Seifert, Entropy production along a stochastic trajectory and an integral fluctuation theorem. Phys. Rev. Lett. 95, 040602 (2005)
S. Toyabe, T. Okamoto, T. Watanabe-Nakayama, H. Taketani, S. Kudo, E. Muneyuki, Nonequilibrium energetics of a single F1-ATPase molecule. Phys. Rev. Lett. 104, 198103 (2010)
T. Ariga, M. Tomishige, D. Mizuno, Nonequilibrium energetics of molecular motor Kinesin. Phys. Rev. Lett. 121, 218101 (2018)
S. Toyabe, H. Ueno, E. Muneyuki, Recovery of state-specific potential of molecular motor from single-molecule trajectory. EPL 97, 40004 (2012)
T.P. Silverstein, An exploration of how the thermodynamic efficiency of bioenergetic membrane systems arises with c-subunit stoichiometry of F1FoATP synthases J. Bioenerg. Biomembr. 46, 229 (2014)
J.E. Niven, S.B. Laughlin, Energy limitation as a selective pressure on the evolution of sensory systems. J. Exp. Biol. 211, 1792 (2008)
M. Ribezzi-Crivellari, F. Ritort, Large work extraction and the Landauer limit in a continuous Maxwell demon. Nat. Phys. 15, 660–664 (2019)
M. Ribezzi-Crivellari, F. Ritort, Work extraction, information-content and the Landauer bound in the continuous Maxwell Demon. J. Stat. Mech. 2019, 084013 (2019)
S. Toyabe, T. Sagawa, M. Ueda, E. Muneyuki, M. Sano, Experimental demonstration of information-to-energy conversion and validation of the generalized Jarzynski equality. Nat. Phys 6, 988 (2010)
P.A. Camati, J.P.S. Peterson, T.B. Batalhão, K. Micadei, A.M. Souza, Experimental rectification of entropy production my Maxwell’s demon in a quantum system. Phys. Rev. Lett. 117, 240502 (2016)
J. Koski, A. Kutvonen, I.M. Khaymovich, T. Ala-Nissila, J.P. Pekola, On-chop Maxwell’s demon as an information-powered refridgerator. Phys. Rev. Lett. 115, 260602 (2015)
T.K. Saha, J.N.E. Lucero, J. Ehrich, D.A. Sivak, J. Bechhoefer, Maximizing power and velocity of an information engine. Proc. Natl. Acad. Sci. U. S. A. 118(20), e2023356118 (2021)
J.M. Parrondo, J.M. Horowitz, T. Sagawa, Thermodynamics of information. Nat. Phys. 11, 131–139 (2015)
M.E. Cates, Diffusive transport without detailed balance in motile bacteria: does microbiology need statistical physics? Rep. Prog. Phys. 75, 042601 (2012)
K. Kawguchi, S.-I. Sasa, T. Sagawa, Nonequilibrium dissipation-free transport in F1-ATPase and the thermodynamic role of asymmetric allosterism. Biophys. J. 106, 2450 (2014)
E. Lathouwers, J.N.E. Lucero, D.A. Sivak, Nonequilibrium energy transduction in stochastic strongly coupled rotary motors. J. Phys. Chem. Lett. 11, 5273 (2020)
U. Seifert, From stochastic thermodynamics to thermodynamic inference. Annu. Rev. Condens. Matter Phys. 10, 171–192 (2019)
I.A. MartÃnez, G. Basker, J.M. Horowitz, J.M.R. Parrondo, Inferring broken detailed balance in the absence of observable currents. Nat. Commun. 10, 3542 (2019)
J. Li, J.M. Horowitz, T.R. Gingrich, N. Fakhri, Quantifying dissipation using fluctuating currents. Nat. Commun. 10, 1666 (2019)
É. Roldán, J.M.R. Parrondo, Estimating dissipation from single stationary trajectories. Phys. Rev. Lett. 105, 150607 (2010)
A. Alemany, M. Ribezzi-Crivellari, F. Ritort, From free energy measurements to thermodynamic inference in nonequilibrium small systems. New J. Phys. 17, 075009 (2015)
J. Mehl, B. Lander, C. Bechinger, V. Blickle, U. Seifert, Role of hidden slow degrees of freedom in the fluctuation theorem. Phys. Rev. Lett. 108, 220601 (2012)
M. Uhl, P. Pietzonka, U. Seifert, Fluctuations of apparent entropy production in networks with hidden slow degrees of freedom. J. Stat. Mech. 2018, 023203 (2018)
M. Kahlen, J. Ehrich, Hidden slow degrees of freedom and fluctuation theorems: an analytically solvable model. J. Stat. Mech. 2018, 063204 (2018)
D. Gupta, S. Sabhapandit, Entropy production for partially observed harmonic systems. J. Stat. Mech. 2020, 013204 (2020)
M.J. Klein, The physics of J. Willard Gibbs in his time. Phys. Today 43(3), 40 (1990)
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Large, S.J. (2021). Conclusions and Outlook. In: Dissipation and Control in Microscopic Nonequilibrium Systems. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-85825-4_11
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