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Journal articles on the topic 'Fluctuation-dissipation theorem'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

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

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2

Fujikawa, Kazuo. "Fluctuation-dissipation theorem and quantum tunneling with dissipation." Physical Review E 57, no. 5 (1998): 5023–29. http://dx.doi.org/10.1103/physreve.57.5023.

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3

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

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4

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

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5

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

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6

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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7

Izmailov, A. F., and A. S. Myerson. "Fluctuation–dissipation theorem for supersaturated electrolyte solutions." Physica A: Statistical Mechanics and its Applications 267, no. 1-2 (1999): 34–57. http://dx.doi.org/10.1016/s0378-4371(98)00667-0.

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8

Zimdahl, W. "Fluctuation-dissipation theorem in the early universe." Physics Letters A 142, no. 4-5 (1989): 229–32. http://dx.doi.org/10.1016/0375-9601(89)90320-4.

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9

Nemenman, Ilya. "Fluctuation-Dissipation Theorem and Models of Learning." Neural Computation 17, no. 9 (2005): 2006–33. http://dx.doi.org/10.1162/0899766054322982.

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Advances in statistical learning theory have resulted in a multitude of different designs of learning machines. But which ones are implemented by brains and other biological information processors? We analyze how various abstract Bayesian learners perform on different data and argue that it is difficult to determine which learning—theoretic computation is performed by a particular organism using just its performance in learning a stationary target (learning curve). Based on the fluctuation—dissipation relation in statistical physics, we then discuss a different experimental setup that might be

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10

Levin, Yuri. "Fluctuation–dissipation theorem for thermo-refractive noise." Physics Letters A 372, no. 12 (2008): 1941–44. http://dx.doi.org/10.1016/j.physleta.2007.11.007.

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11

Seifert, U., and T. Speck. "Fluctuation-dissipation theorem in nonequilibrium steady states." EPL (Europhysics Letters) 89, no. 1 (2010): 10007. http://dx.doi.org/10.1209/0295-5075/89/10007.

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12

Kalman, G., and Xiao-Yue Gu. "Quadratic fluctuation-dissipation theorem: The quantum domain." Physical Review A 36, no. 7 (1987): 3399–414. http://dx.doi.org/10.1103/physreva.36.3399.

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13

Chen, L. Y. "Nonequilibrium fluctuation-dissipation theorem of Brownian dynamics." Journal of Chemical Physics 129, no. 14 (2008): 144113. http://dx.doi.org/10.1063/1.2992153.

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14

Zhang, Zhedong, Wei Wu, and Jin Wang. "Fluctuation-dissipation theorem for nonequilibrium quantum systems." EPL (Europhysics Letters) 115, no. 2 (2016): 20004. http://dx.doi.org/10.1209/0295-5075/115/20004.

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15

Golden, Kenneth I. "Quadratic fluctuation-dissipation theorem for multilayer plasmas." Physical Review E 59, no. 1 (1999): 228–33. http://dx.doi.org/10.1103/physreve.59.228.

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16

Mottola, Emil. "Quantum fluctuation-dissipation theorem for general relativity." Physical Review D 33, no. 8 (1986): 2136–46. http://dx.doi.org/10.1103/physrevd.33.2136.

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17

Reggiani, Lino, and Eleonora Alfinito. "Fluctuation Dissipation Theorem and Electrical Noise Revisited." Fluctuation and Noise Letters 18, no. 01 (2019): 1930001. http://dx.doi.org/10.1142/s0219477519300015.

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The fluctuation dissipation theorem (FDT) is the basis for a microscopic description of the interaction between electromagnetic radiation and matter. By assuming the electromagnetic radiation in thermal equilibrium and the interaction in the linear-response regime, the theorem interrelates the macroscopic spontaneous fluctuations of an observable with the kinetic coefficients that are responsible for energy dissipation in the linear response to an applied perturbation. In the quantum form provided by Callen and Welton in their pioneering paper of 1951 for the case of conductors [H. B. Callen a

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18

Dembo, Amir, and Jean-Dominique Deuschel. "Markovian perturbation, response and fluctuation dissipation theorem." Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 46, no. 3 (2010): 822–52. http://dx.doi.org/10.1214/10-aihp370.

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19

Jou, D., and M. Zakari. "Nonlinear transport coefficients and fluctuation-dissipation theorem." Physics Letters A 203, no. 2-3 (1995): 129–32. http://dx.doi.org/10.1016/0375-9601(95)00386-h.

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20

Fujikawa, Kazuo, and Hiroaki Terashima. "Fluctuation-dissipation theorem and quantum tunneling with dissipation at finite temperature." Physical Review E 58, no. 6 (1998): 7063–70. http://dx.doi.org/10.1103/physreve.58.7063.

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21

Pottier, Noëlle, and Alain Mauger. "Quantum fluctuation-dissipation theorem: a time-domain formulation." Physica A: Statistical Mechanics and its Applications 291, no. 1-4 (2001): 327–44. http://dx.doi.org/10.1016/s0378-4371(00)00523-9.

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22

De Gregorio, P., F. Sciortino, P. Tartaglia, E. Zaccarelli, and K. A. Dawson. "Slowed relaxational dynamics beyond the fluctuation–dissipation theorem." Physica A: Statistical Mechanics and its Applications 307, no. 1-2 (2002): 15–26. http://dx.doi.org/10.1016/s0378-4371(01)00398-3.

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23

Cionni, I., G. Visconti, and F. Sassi. "Fluctuation dissipation theorem in a general circulation model." Geophysical Research Letters 31, no. 9 (2004): n/a. http://dx.doi.org/10.1029/2004gl019739.

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24

OKABE, Yasunori. "KMO-Langevin Equation and Fluctuation-Dissipation Theorem (I)." Hokkaido Mathematical Journal 15, no. 2 (1986): 163–216. http://dx.doi.org/10.14492/hokmj/1381518224.

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25

OKABE, Yasunori. "KMO-Langevin Equation and Fluctuation-Dissipation Theorem (II)." Hokkaido Mathematical Journal 15, no. 3 (1986): 317–55. http://dx.doi.org/10.14492/hokmj/1381518232.

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26

Mehboudi, Mohammad, Anna Sanpera, and Juan M. R. Parrondo. "Fluctuation-dissipation theorem for non-equilibrium quantum systems." Quantum 2 (May 24, 2018): 66. http://dx.doi.org/10.22331/q-2018-05-24-66.

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The fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for classical and quantum systems. It establishes a relationship between the linear response of a system under a time-dependent perturbation and time correlations of certain observables in equilibrium. Here we derive a generalization of the theorem which can be applied to any Markov quantum system and makes use of the symmetric logarithmic derivative (SLD). There are several important benefits from our approach. First, such a formulation clarifies the relation between classical and quantum versions of th

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27

Costa, I. V. L., R. Morgado, M. V. B. T. Lima, and F. A. Oliveira. "The Fluctuation-Dissipation Theorem fails for fast superdiffusion." Europhysics Letters (EPL) 63, no. 2 (2003): 173–79. http://dx.doi.org/10.1209/epl/i2003-00514-3.

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28

Das, Ashok K., and J. Frenkel. "Derivation of the fluctuation–dissipation theorem from unitarity." Modern Physics Letters A 30, no. 32 (2015): 1550163. http://dx.doi.org/10.1142/s0217732315501631.

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29

Nielsen, Johannes K., and Jeppe C. Dyre. "Fluctuation-dissipation theorem for frequency-dependent specific heat." Physical Review B 54, no. 22 (1996): 15754–61. http://dx.doi.org/10.1103/physrevb.54.15754.

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30

REGGIANI, L., P. SHIKTOROV, E. STARIKOV, and V. GRUŽINSKIS. "QUANTUM FLUCTUATION DISSIPATION THEOREM REVISITED: REMARKS AND CONTRADICTIONS." Fluctuation and Noise Letters 11, no. 03 (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

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31

Cooper, Fenwick C., and Peter H. Haynes. "Climate Sensitivity via a Nonparametric Fluctuation–Dissipation Theorem." Journal of the Atmospheric Sciences 68, no. 5 (2011): 937–53. http://dx.doi.org/10.1175/2010jas3633.1.

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Abstract The fluctuation–dissipation theorem (FDT) has been suggested as a method of calculating the response of the climate system to a small change in an external parameter. The simplest form of the FDT assumes that the probability density function of the unforced system is Gaussian and most applications of the FDT have made a quasi-Gaussian assumption. However, whether or not the climate system is close to Gaussian remains open to debate, and non-Gaussianity may limit the usefulness of predictions of quasi-Gaussian forms of the FDT. Here we describe an implementation of the full non-Gaussia

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32

Gallavotti, Giovanni. "Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem." Journal of Statistical Physics 84, no. 5-6 (1996): 899–925. http://dx.doi.org/10.1007/bf02174123.

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33

Li, Lei, Jian-Guo Liu, and Jianfeng Lu. "Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem." Journal of Statistical Physics 169, no. 2 (2017): 316–39. http://dx.doi.org/10.1007/s10955-017-1866-z.

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34

Giacometti, Achille, Amos Maritan, Flavio Toigo, and Jayanth R. Banavar. "Fluctuation-dissipation theorem and the dynamical renormalization group." Journal of Statistical Physics 82, no. 5-6 (1996): 1669–74. http://dx.doi.org/10.1007/bf02183399.

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35

Nicolis, C., J. P. Boon, and G. Nicolis. "Fluctuation-dissipation theorem and intrinsic stochasticity of climate." Il Nuovo Cimento C 8, no. 3 (1985): 223–42. http://dx.doi.org/10.1007/bf02574709.

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36

Gomes-Filho, Márcio S., and Fernando A. Oliveira. "The hidden fluctuation-dissipation theorem for growth (a)." EPL (Europhysics Letters) 133, no. 1 (2021): 10001. http://dx.doi.org/10.1209/0295-5075/133/10001.

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37

Feng, Sze-Shiang. "Some Exact Results of Hubbard Model at Finite Temperature." Modern Physics Letters B 12, no. 14n15 (1998): 555–59. http://dx.doi.org/10.1142/s0217984998000652.

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Two theorems of the Hubbard model at nite temperature are proven employing the fluctuation–dissipation theorem and particle–hole transform. The main conclusion states that for the prototype Hubbard model, the expectation value of [Formula: see text] will be of order Nλ at any temperature except those critical.

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38

Lapas, L. C., R. Morgado, A. L. A. Penna, and F. A. Oliveira. "Non-equilibrium Fluctuation-Dissipation Theorem for Stationary Anomalous Diffusion." Acta Physica Polonica B 46, no. 6 (2015): 1155. http://dx.doi.org/10.5506/aphyspolb.46.1155.

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39

Wyatt, J. L., B. D. O. Anderson, and G. J. Coram. "Limits to the fluctuation-dissipation theorem for nonlinear circuits." IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 47, no. 9 (2000): 1323–29. http://dx.doi.org/10.1109/81.883327.

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40

Widom, A., C. Vittoria, and S. D. Yoon. "Gilbert ferromagnetic damping theory and the fluctuation-dissipation theorem." Journal of Applied Physics 108, no. 7 (2010): 073924. http://dx.doi.org/10.1063/1.3330646.

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41

Nicolis, C., and G. Nicolis. "The Fluctuation–Dissipation Theorem Revisited: Beyond the Gaussian Approximation." Journal of the Atmospheric Sciences 72, no. 7 (2015): 2642–56. http://dx.doi.org/10.1175/jas-d-14-0391.1.

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A linear response theory of systems of interest in atmospheric and climate dynamics taking fully into account the nonlinearities of the underlying processes is developed. Under the assumption that the source of intrinsic variability can be modeled as a white-noise process, a Fokker–Planck equation approach leads to fluctuation–dissipation-type expressions in the form of time cross-correlation functions, linking the perturbation-induced shift of an observable to the statistical and dynamical properties of the reference system. These expressions feature a generalized potential function and enabl

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42

Nicolis, Stam, Pascal Thibaudeau, and Julien Tranchida. "Finite-dimensional colored fluctuation-dissipation theorem for spin systems." AIP Advances 7, no. 5 (2017): 056012. http://dx.doi.org/10.1063/1.4975132.

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43

Gruebele, M. "Matrix Fluctuation−Dissipation Theorem: Application to Quantum Relaxation Phenomena." Journal of Physical Chemistry 100, no. 30 (1996): 12178–82. http://dx.doi.org/10.1021/jp960442q.

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44

Hütter, Markus, and Hans Christian Öttinger. "Fluctuation-dissipation theorem, kinetic stochastic integral and efficient simulations." Journal of the Chemical Society, Faraday Transactions 94, no. 10 (1998): 1403–5. http://dx.doi.org/10.1039/a800422f.

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45

Maes, Christian. "On the Second Fluctuation–Dissipation Theorem for Nonequilibrium Baths." Journal of Statistical Physics 154, no. 3 (2014): 705–22. http://dx.doi.org/10.1007/s10955-013-0904-8.

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46

Schieber, Jay D. "Do internal viscosity models satisfy the fluctuation-dissipation theorem?" Journal of Non-Newtonian Fluid Mechanics 45, no. 1 (1992): 47–61. http://dx.doi.org/10.1016/0377-0257(92)80060-b.

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47

Yoshida, K. "A derivation of fluctuation-dissipation theorem from commutation relations." Optics Communications 90, no. 1-3 (1992): 115–16. http://dx.doi.org/10.1016/0030-4018(92)90340-w.

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48

Sheth, Janaki K. "Generalized Fluctuation-Dissipation Theorem Applied to Active Hair Bundles." Biophysical Journal 112, no. 3 (2017): 534a. http://dx.doi.org/10.1016/j.bpj.2016.11.2886.

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49

Matyushov, Dmitry V. "Electron transfer in nonpolar media." Physical Chemistry Chemical Physics 22, no. 19 (2020): 10653–65. http://dx.doi.org/10.1039/c9cp06166e.

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50

Krommes, John A. "Advances in gyrokinetic fluctuation theory: The gyrokinetic fluctuation–dissipation theorem and dielectric function*." Physics of Fluids B: Plasma Physics 5, no. 7 (1993): 2405–11. http://dx.doi.org/10.1063/1.860724.

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