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Journal articles on the topic 'Fluctuation theorem'

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Published: 4 June 2021

Last updated: 10 March 2023

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1

WOJTKOWSKI, MACIEJ P. "Abstract fluctuation theorem." Ergodic Theory and Dynamical Systems 29, no. 1 (February 2009): 273–79. http://dx.doi.org/10.1017/s0143385708000163.

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AbstractWe formulate an abstract fluctuation theorem which sheds light on mathematical relations between the fluctuation theorems of Bochkov and Kuzovlev [Contribution to the general theory of thermal fluctuations in nonlinear systems. Sov. Phys.–JETP45 (1977), 125] and Jarzynski [Hamiltonian derivation of a detailed fluctuation theorem. J. Stat. Phys.98 (2001), 77–102] on the one hand, and those of Evans and Searles [Equilibrium microstates which generate second law violating steady states. Phys. Rev. E 50 (1994), 1645–1648] and Gallavotti and Cohen [Dynamical ensembles in stationary states. J. Stat. Phys.80 (1995), 931–970] on the other.

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2

Gallavotti, Giovanni. "Fluctuation theorem." Scholarpedia 3, no. 2 (2008): 5904. http://dx.doi.org/10.4249/scholarpedia.5904.

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3

Rao, Riccardo, and Massimiliano Esposito. "Detailed Fluctuation Theorems: A Unifying Perspective." Entropy 20, no. 9 (August 24, 2018): 635. http://dx.doi.org/10.3390/e20090635.

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We present a general method to identify an arbitrary number of fluctuating quantities which satisfy a detailed fluctuation theorem for all times within the framework of time-inhomogeneous Markovian jump processes. In doing so, we provide a unified perspective on many fluctuation theorems derived in the literature. By complementing the stochastic dynamics with a thermodynamic structure (i.e., using stochastic thermodynamics), we also express these fluctuating quantities in terms of physical observables.

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4

Jinwoo, Lee. "Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-Microstates." Entropy 21, no. 5 (May 7, 2019): 477. http://dx.doi.org/10.3390/e21050477.

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Fluctuation theorems are a class of equalities that express universal properties of the probability distribution of a fluctuating path functional such as heat, work or entropy production over an ensemble of trajectories during a non-equilibrium process with a well-defined initial distribution. Jinwoo and Tanaka (Jinwoo, L.; Tanaka, H. Sci. Rep. 2015, 5, 7832) have shown that work fluctuation theorems hold even within an ensemble of paths to each state, making it clear that entropy and free energy of each microstate encode heat and work, respectively, within the conditioned set. Here we show that information that is characterized by the point-wise mutual information for each correlated state between two subsystems in a heat bath encodes the entropy production of the subsystems and heat bath during a coupling process. To this end, we extend the fluctuation theorem of information exchange (Sagawa, T.; Ueda, M. Phys. Rev. Lett. 2012, 109, 180602) by showing that the fluctuation theorem holds even within an ensemble of paths that reach a correlated state during dynamic co-evolution of two subsystems.

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5

Evans, Denis J., and Debra J. Searles. "The Fluctuation Theorem." Advances in Physics 51, no. 7 (November 2002): 1529–85. http://dx.doi.org/10.1080/00018730210155133.

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6

Pérez-Espigares, Carlos, Frank Redig, and Cristian Giardinà. "Spatial fluctuation theorem." Journal of Physics A: Mathematical and Theoretical 48, no. 35 (August 11, 2015): 35FT01. http://dx.doi.org/10.1088/1751-8113/48/35/35ft01.

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7

Mittag, Emil, Debra J. Searles, and Denis J. Evans. "Isobaric–isothermal fluctuation theorem." Journal of Chemical Physics 116, no. 16 (April 22, 2002): 6875–79. http://dx.doi.org/10.1063/1.1462043.

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8

Gallavottia, G. "Fluctuation theorem and chaos." European Physical Journal B 64, no. 3-4 (April 2, 2008): 315–20. http://dx.doi.org/10.1140/epjb/e2008-00137-6.

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9

Petersen, Charlotte F., Denis J. Evans, and Stephen R. Williams. "The instantaneous fluctuation theorem." Journal of Chemical Physics 139, no. 18 (November 14, 2013): 184106. http://dx.doi.org/10.1063/1.4829445.

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10

Ayton, Gary, Denis J. Evans, and Debra J. Searles. "A local fluctuation theorem." Journal of Chemical Physics 115, no. 5 (August 2001): 2033–37. http://dx.doi.org/10.1063/1.1385158.

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11

Gallavotti, Giovanni. "A local fluctuation theorem." Physica A: Statistical Mechanics and its Applications 263, no. 1-4 (February 1999): 39–50. http://dx.doi.org/10.1016/s0378-4371(98)00502-0.

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12

Ford, G. W. "The fluctuation–dissipation theorem." Contemporary Physics 58, no. 3 (March 31, 2017): 244–52. http://dx.doi.org/10.1080/00107514.2017.1298289.

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13

Utsumi, Y., and H. Imamura. "Fluctuation theorem in spintronics." Journal of Physics: Conference Series 200, no. 5 (January 1, 2010): 052030. http://dx.doi.org/10.1088/1742-6596/200/5/052030.

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14

Maragakis, Paul, Martin Spichty, and Martin Karplus. "A Differential Fluctuation Theorem†." Journal of Physical Chemistry B 112, no. 19 (May 2008): 6168–74. http://dx.doi.org/10.1021/jp077037r.

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15

SAHA, ARNAB, SOURABH LAHIRI, and A. M. JAYANNAVAR. "CLASSICAL DIAMAGNETISM REVISITED." Modern Physics Letters B 24, no. 30 (December 10, 2010): 2899–910. http://dx.doi.org/10.1142/s0217984910025309.

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The well-known Bohr–van Leeuwen Theorem states that the orbital diamagnetism of classical charged particles is identically zero in equilibrium. However, results based on real space–time approach using the classical Langevin equation predicts non-zero diamagnetism for classical unbounded (finite or infinite) systems. Here we show that the recently discovered Fluctuation Theorems, namely, the Jarzynski Equality or the Crooks Fluctuation Theorem surprisingly predicts a free energy that depends on magnetic field as well as on the friction coefficient, in outright contradiction to the canonical equilibrium results. However, in the cases where the Langevin approach is consistent with the equilibrium results, the Fluctuation Theorems lead to results in conformity with equilibrium statistical mechanics. The latter is demonstrated analytically through a simple example that has been discussed recently.

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16

Granger, L., M. Niemann, and H. Kantz. "Crooks’ fluctuation theorem for the fluctuating lattice-Boltzmann model." Journal of Statistical Mechanics: Theory and Experiment 2010, no. 06 (June 28, 2010): P06029. http://dx.doi.org/10.1088/1742-5468/2010/06/p06029.

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17

Goold, J., and K. Modi. "Fluctuation theorem for nonunital dynamics." AVS Quantum Science 3, no. 4 (December 2021): 045001. http://dx.doi.org/10.1116/5.0065123.

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18

Searles, Debra J., and Denis J. Evans. "Fluctuation theorem for stochastic systems." Physical Review E 60, no. 1 (July 1, 1999): 159–64. http://dx.doi.org/10.1103/physreve.60.159.

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19

Malek Mansour, M., and F. Baras. "Fluctuation theorem: A critical review." Chaos: An Interdisciplinary Journal of Nonlinear Science 27, no. 10 (October 2017): 104609. http://dx.doi.org/10.1063/1.4986600.

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20

Seleznev, V. D., G. A. Zhernokleev, and L. M. Martyushev. "Fluctuation theorem and thermodynamic entropy." JETP Letters 102, no. 8 (October 2015): 557–60. http://dx.doi.org/10.1134/s0021364015200151.

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21

Kurchan, Jorge. "Fluctuation theorem for stochastic dynamics." Journal of Physics A: Mathematical and General 31, no. 16 (April 24, 1998): 3719–29. http://dx.doi.org/10.1088/0305-4470/31/16/003.

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22

Gaspard, Pierre. "Fluctuation theorem for nonequilibrium reactions." Journal of Chemical Physics 120, no. 19 (May 15, 2004): 8898–905. http://dx.doi.org/10.1063/1.1688758.

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23

Monnai, Takaaki. "Fluctuation theorem in rachet system." Journal of Physics A: Mathematical and General 37, no. 6 (January 28, 2004): L75—L79. http://dx.doi.org/10.1088/0305-4470/37/6/l02.

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24

Artemenko, S. N. "Modification of charge density wave fluctuations by charge perturbations." Journal de Physique IV 12, no. 9 (November 2002): 77–78. http://dx.doi.org/10.1051/jp4:20020359.

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Spectral density of fluctuations of the CDW phase are calculated taking into account electric field induced by phase fluctuations. The approach based upon the fluctuation-dissipation theorem (FDT) combined with equations of linear response of the CDW conductor is used. Fluctuating electric field is found to suppress fluctuations of the phase, while fluctuations of the electric potential are sizeable. This suggests that transition from the CDW to the normal state (which is usually observed well below the mean-field transition temperature) may he provoked by fluctuations of the chemical potential, rather than by destruction of the CDW coherence between conducting chains due to phase fluctuations.

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25

Confesor, Mark Nolan P. "Bier-Astumian relation, fluctuation theorem and their possible applications." International Journal of Modern Physics: Conference Series 36 (January 2015): 1560009. http://dx.doi.org/10.1142/s2010194515600095.

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Fluctuations in the spatial position of a probe particle that is driven far from equilibrium can provide valuable information about the driving force. Analysis of the position fluctuation is through the fluctuation theorem (FT) and a generalized detailed balance called Bier-Astumian relation (BA). Here we show the usefulness of the BA for mapping potential landscapes of a particle confined in a potential field. We also demonstrate how the FT can be used to extract the driving force for a particle driven by a constant force.

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26

Hayashi, Kumiko, Yuta Tsuchizawa, Mitsuhiro Iwaki, and Yasushi Okada. "Application of the fluctuation theorem for noninvasive force measurement in living neuronal axons." Molecular Biology of the Cell 29, no. 25 (December 2018): 3017–25. http://dx.doi.org/10.1091/mbc.e18-01-0022.

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Although its importance is recently widely accepted, force measurement has been difficult in living biological systems, mainly due to the lack of the versatile noninvasive force measurement methods. The fluctuation theorem, which represents the thermodynamic properties of small fluctuating nonequilibrium systems, has been applied to the analysis of the thermodynamic properties of motor proteins in vitro. Here we extend it to the axonal transport (displacement) of endosomes. The distribution of the displacement fluctuation had three or four distinct peaks around multiples of a unit value, which the fluctuation theorem can convert into the drag force exerted on the endosomes. The results demonstrated that a single cargo vesicle is conveyed by one to three or four units of force production.

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27

HAYASHI, Kumiko. "Fluctuation Theorem Applied to Bio-motors." Seibutsu Butsuri 51, no. 4 (2011): 188–89. http://dx.doi.org/10.2142/biophys.51.188.

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28

Zeng, Qian, and Jin Wang. "New fluctuation theorems on Maxwell’s demon." Science Advances 7, no. 23 (June 2021): eabf1807. http://dx.doi.org/10.1126/sciadv.abf1807.

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With increasing interest in the control of systems at the nano- and mesoscopic scales, studies have been focused on the limit of the energy dissipation in an open system by refining the concept of the Maxwell’s demon. To uncover the underlying physical principle behind a system controlled by a demon, we prove a previously unexplored set of fluctuation theorems. These fluctuation theorems imply that there exists an intrinsic nonequilibrium state of the system, led by the nonnegative demon-induced dissipative information. A consequence of this analysis is that the bounds of both work and heat are tighter than the limits predicted by the Sagawa-Ueda theorem. We also suggest a possible experimental test of these work and heat bounds.

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29

Brookes, Sarah J., James C. Reid, Denis J. Evans, and Debra J. Searles. "The Fluctuation Theorem and Dissipation Theorem for Poiseuille Flow." Journal of Physics: Conference Series 297 (May 1, 2011): 012017. http://dx.doi.org/10.1088/1742-6596/297/1/012017.

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30

Hack, Pedro, Sebastian Gottwald, and Daniel A. Braun. "Jarzyski’s Equality and Crooks’ Fluctuation Theorem for General Markov Chains with Application to Decision-Making Systems." Entropy 24, no. 12 (November 27, 2022): 1731. http://dx.doi.org/10.3390/e24121731.

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We define common thermodynamic concepts purely within the framework of general Markov chains and derive Jarzynski’s equality and Crooks’ fluctuation theorem in this setup. In particular, we regard the discrete-time case, which leads to an asymmetry in the definition of work that appears in the usual formulation of Crooks’ fluctuation theorem. We show how this asymmetry can be avoided with an additional condition regarding the energy protocol. The general formulation in terms of Markov chains allows transferring the results to other application areas outside of physics. Here, we discuss how this framework can be applied in the context of decision-making. This involves the definition of the relevant quantities, the assumptions that need to be made for the different fluctuation theorems to hold, as well as the consideration of discrete trajectories instead of the continuous trajectories, which are relevant in physics.

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31

Mahulikar, Shripad P, Tapan K Sengupta, Nidhi Sharma, and Pallavi Rastogi. "Thermodynamic Merger of Fluctuation Theorem and Principle of Least Action: Case of Rayleigh–Taylor Instability." Journal of Non-Equilibrium Thermodynamics 44, no. 4 (October 25, 2019): 363–71. http://dx.doi.org/10.1515/jnet-2018-0091.

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AbstractEntropy fluctuations with time occur in finite-sized time-evolving dissipative systems. There is a need to comprehend the role of these fluctuations on the fluctuations-averaged entropy generation rate, over a large enough observation time interval. In this non-equilibrium thermodynamic investigation, the Fluctuation Theorem (FT) and Principle of Least Action are re-visited to articulate their implications for dissipative systems. The Principle of Maximum Entropy Production (MaxEP: the entropy generation rate of a dissipative system is maximized by paths of least action) is conceptually identified as the Principle of Least Action for dissipative systems. A Thermodynamic Fusion Theorem that merges the FT and the MaxEP is introduced for addressing the role of fluctuations in entropy production. It identifies “entropy fluctuations” as the “least-action path” for maximizing the time-averaged entropy production in a dissipative system. The validity of this introduced theorem is demonstrated for the case of entropy fluctuations in Rayleigh–Taylor flow instability.

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32

Procopio, Joaquim, and José A. Fornés. "Fluctuation-dissipation theorem imposes high-voltage fluctuations in biological ionic channels." Physical Review E 51, no. 1 (January 1, 1995): 829–31. http://dx.doi.org/10.1103/physreve.51.829.

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33

Talkner, Peter, and Peter Hänggi. "The Tasaki–Crooks quantum fluctuation theorem." Journal of Physics A: Mathematical and Theoretical 40, no. 26 (June 12, 2007): F569—F571. http://dx.doi.org/10.1088/1751-8113/40/26/f08.

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34

Calzetta, E. A. "Kinesin and the Crooks fluctuation theorem." European Physical Journal B 68, no. 4 (March 25, 2009): 601–5. http://dx.doi.org/10.1140/epjb/e2009-00113-8.

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35

Shimizu, Akira, and Kyota Fujikura. "Quantum violation of fluctuation-dissipation theorem." Journal of Statistical Mechanics: Theory and Experiment 2017, no. 2 (February 9, 2017): 024004. http://dx.doi.org/10.1088/1742-5468/aa5a67.

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36

Cleuren, B., and C. Van den Broeck. "Fluctuation theorem for black-body radiation." Europhysics Letters (EPL) 79, no. 3 (July 4, 2007): 30001. http://dx.doi.org/10.1209/0295-5075/79/30001.

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37

Jepps, Owen, Denis J. Evans, and Debra J. Searles. "The fluctuation theorem and Lyapunov weights." Physica D: Nonlinear Phenomena 187, no. 1-4 (January 2004): 326–37. http://dx.doi.org/10.1016/j.physd.2003.09.019.

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38

Andrieux, David, and Pierre Gaspard. "Fluctuation theorem and mesoscopic chemical clocks." Journal of Chemical Physics 128, no. 15 (April 21, 2008): 154506. http://dx.doi.org/10.1063/1.2894475.

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39

Bonetto, F., G. Gallavotti, A. Giuliani, and F. Zamponi. "Chaotic Hypothesis, Fluctuation Theorem and Singularities." Journal of Statistical Physics 123, no. 1 (March 23, 2006): 39–54. http://dx.doi.org/10.1007/s10955-006-9047-5.

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40

Hayashi, Kumiko, Hiroshi Ueno, Ryota Iino, and Hiroyuki Noji. "Fluctuation Theorem Applied to F1-ATPase." Biophysical Journal 98, no. 3 (January 2010): 633a. http://dx.doi.org/10.1016/j.bpj.2009.12.3466.

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41

Goldfriend, T., and J. Kurchan. "Fluctuation theorem for quasi-integrable systems." EPL (Europhysics Letters) 124, no. 1 (October 30, 2018): 10002. http://dx.doi.org/10.1209/0295-5075/124/10002.

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42

Chakrabarti, J. "Fluctuation–dissipation theorem for QCD plasma." Journal of Mathematical Physics 26, no. 12 (December 1985): 3190–92. http://dx.doi.org/10.1063/1.526647.

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43

Andrieux, D., and P. Gaspard. "Fluctuation theorem and Onsager reciprocity relations." Journal of Chemical Physics 121, no. 13 (October 2004): 6167–74. http://dx.doi.org/10.1063/1.1782391.

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44

Furche, Filipp, and Troy Van Voorhis. "Fluctuation-dissipation theorem density-functional theory." Journal of Chemical Physics 122, no. 16 (April 22, 2005): 164106. http://dx.doi.org/10.1063/1.1884112.

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45

REGGIANI, L., P. SHIKTOROV, E. STARIKOV, and V. GRUŽINSKIS. "QUANTUM FLUCTUATION DISSIPATION THEOREM REVISITED: REMARKS AND CONTRADICTIONS." Fluctuation and Noise Letters 11, no. 03 (September 2012): 1242002. http://dx.doi.org/10.1142/s0219477512420023.

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The quantum fluctuation dissipation theorem (QFDT) in the Callen–Welton [ Phys. Rev.83 (1951) 34] form is critically revisited. We show that the role of the system eigenvalues is in general not correctly accounted for by the accepted form of the QFDT. As a consequence, a series of quantum results claimed in the literature, like the presence of zero point fluctuations, the violation of the quantum regression hypothesis, the non-white spectrum of the Langevin force, etc. emerge as a consequence of an incorrect application of the theorem. In this context the case of the single harmonic oscillator is illustrated as a typical example where the accepted form of the QFDT is proven to fail.

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46

LIU, LI-YAN, and LI-QIAN WEI. "ENERGY FLUCTUATIONS IN UNNORMALIZED TSALLIS STATISTICS." Modern Physics Letters B 25, no. 21 (August 20, 2011): 1761–68. http://dx.doi.org/10.1142/s0217984911026991.

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In this paper, we investigate the fluctuation of the energy in the canonical ensemble in the setting of unnormalized q-expectation value theory in Tsallis statistics. After obtaining the general expression, we compare it with the energy fluctuation deduced from the generalized fluctuation-dissipation theorem. The results show that they are the same. Then, we take the classical ideal gas model as an example to explore the energy fluctuations of it. It shows that if the value of q is not in the vicinity of unity, the relative fluctuation of the energy is large. Thus, the energy in the canonical ensemble greatly deviates from the mean value.

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47

Zhou, Yuecheng, Folarin Latinwo, and Charles M. Schroeder. "Crooks Fluctuation Theorem for Single Polymer Dynamics in Time-Dependent Flows: Understanding Viscoelastic Hysteresis." Entropy 24, no. 1 (December 24, 2021): 27. http://dx.doi.org/10.3390/e24010027.

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Nonequilibrium work relations have fundamentally advanced our understanding of molecular processes. In recent years, fluctuation theorems have been extensively applied to understand transitions between equilibrium steady-states, commonly described by simple control parameters such as molecular extension of a protein or polymer chain stretched by an external force in a quiescent fluid. Despite recent progress, far less is understood regarding the application of fluctuation theorems to processes involving nonequilibrium steady-states such as those described by polymer stretching dynamics in nonequilibrium fluid flows. In this work, we apply the Crooks fluctuation theorem to understand the nonequilibrium thermodynamics of dilute polymer solutions in flow. We directly determine the nonequilibrium free energy for single polymer molecules in flow using a combination of single molecule experiments and Brownian dynamics simulations. We further develop a time-dependent extensional flow protocol that allows for probing viscoelastic hysteresis over a wide range of flow strengths. Using this framework, we define quantities that uniquely characterize the coil-stretch transition for polymer chains in flow. Overall, generalized fluctuation theorems provide a powerful framework to understand polymer dynamics under far-from-equilibrium conditions.

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48

Facchi, Paolo, Giancarlo Garnero, and Marilena Ligabò. "Quantum fluctuation relations." International Journal of Geometric Methods in Modern Physics 14, no. 08 (May 11, 2017): 1740002. http://dx.doi.org/10.1142/s0219887817400023.

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We present here a set of lecture notes on exact fluctuation relations. We prove the Jarzynski equality and the Crooks fluctuation theorem, two paradigmatic examples of classical fluctuation relations. Finally, we consider their quantum versions, and analyze analogies and differences with the classical case.

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49

BENÍTEZ, R., and L. RAMÍREZ-PISCINA. "STOCHASTIC PHASE-FIELD SIMULATIONS OF SYMMETRIC ALLOY SOLIDIFICATION." Fluctuation and Noise Letters 04, no. 03 (September 2004): L505—L510. http://dx.doi.org/10.1142/s0219477504002063.

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We study initial transient stages in directional solidification by means of a non-variational phase field model with fluctuations. This model applies for the symmetric solidification of dilute binary solutions and does not invoke fluctuation-dissipation theorem to account for the fluctuation statistics. We devote our attention to the transient regime during which concentration gradients are building up and fluctuations act to destabilize the interface. To this end, we calculate both the temporally dependent growth rate of each mode and the power spectrum of the interface evolving under the effect of fluctuations. Quantitative agreement is found when comparing the phase-field simulations with theoretical predictions.

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50

Pavlov G. A. "Fluctuation-dissipation theorem and frequency moments of response functions of a dense plasma to an electromagnetic field." Technical Physics 92, no. 2 (2022): 191. http://dx.doi.org/10.21883/tp.2022.02.52945.149-21.

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The fluctuation-dissipative theorem and frequency moments for quadratic functions of the reaction of a dense plasma in a constant magnetic field to an electromagnetic field are considered. The frequency moments of the corresponding correlation functions are studied. A model approach is proposed to calculate quadratic reaction functions that determine nonlinear phenomena caused by the quadratic interaction of electromagnetic waves in a dense charged medium (Coulomb systems, plasma) in a constant magnetic field. Keywords: dense plasma, nonlinear fluctuation-dissipative theorem, quadratic reaction functions, nonlinear phenomena. Keywords: dense plasma, nonlinear fluctuation-dissipation theorem, quadratic response functions, nonlinear phenomena.

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