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Fluctuation theorem and mesoscopic chemical clocks
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10.1063/1.2894475
/content/aip/journal/jcp/128/15/10.1063/1.2894475
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/15/10.1063/1.2894475
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Simulation by the Gillespie algorithm of the oscillatory regime for the reversible Brusselator [Eqs. (1)–(3)]. The values of the concentrations are , , and the reaction constants , , . From the top to the bottom, the extensivity parameter takes the values: (a) , (b) , (c) , and (d) . The first column depicts the phase portrait in the plane of the numbers and of molecules. The second column shows the number as a function of time. The third one depicts the autocorrelation function [Eq. (18)] of the number , which is normalized to unity.

Image of FIG. 2.
FIG. 2.

The generating function [Eq. (20)] numerically obtained for the Brusselator as the eigenvalue by the method of Refs. 5 and 12. The extensivity parameter takes the value while the control parameter takes the values . The other parameters are fixed as explained in the text.

Image of FIG. 3.
FIG. 3.

The generating function [Eq. (20)] numerically obtained for the Brusselator as the eigenvalue by the method of Refs. 5 and 12. The extensivity parameter takes the value while the control parameter takes the values . The other parameters are fixed as explained in the text.

Image of FIG. 4.
FIG. 4.

Probability distribution function for the cumulated current over a time interval . The concentration [B] is fixed so that the affinity [Eq. (24)] takes the value . The other parameters take the values , , , , and .

Image of FIG. 5.
FIG. 5.

Probability distribution functions for the cumulated current over the time interval . The affinity takes the values , ln 1.3, and ln 1.5. They obey the symmetry [Eq. (28)]. The parameters take the same values as in Fig. 4.

Image of FIG. 6.
FIG. 6.

Probabilities of the negative events (solid line) compared with the predictions (crosses) of the fluctuation relation (29). is the cumulated current and the affinity takes the value . The parameters take the same values as in Fig. 4.

Image of FIG. 7.
FIG. 7.

Probability distribution functions for the cumulated current over the time interval in the truncated model [Eqs. (30) and (31)]. The affinity takes the values , ln 1.2, ln 1.4 for left to right. The concentration [B] is fixed accordingly. The other parameters are , , , and .

Image of FIG. 8.
FIG. 8.

Probabilities of the negative events (solid line) compared with the predictions (crosses) of the fluctuation relation (29) in the truncated model [Eqs. (30) and (31)]. is the cumulated current over the time interval and the affinity is given by . The other parameters take the same values as in Fig. 7.

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/content/aip/journal/jcp/128/15/10.1063/1.2894475
2008-04-16
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Fluctuation theorem and mesoscopic chemical clocks
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/15/10.1063/1.2894475
10.1063/1.2894475
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