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Thermal noise and the emergence of the arrow of time: A simple model
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10.1119/1.3095810
/content/aapt/journal/ajp/77/5/10.1119/1.3095810
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/77/5/10.1119/1.3095810
View: Figures

Figures

Image of Fig. 1.
Fig. 1.

A -cell system with seven particles. (a) Initial configuration at ; (b) the configuration after translation; (c) configuration at after translation and interaction; and (d) configuration at .

Image of Fig. 2.
Fig. 2.

A -cell system with 200 particles. (a) Initial configuration at ; (b) configuration at ; (c) configuration at ; and (d) configuration at .

Image of Fig. 3.
Fig. 3.

as a function of time. The solid line represents the case with no inversion. The broken line represents the case with inversion at .

Image of Fig. 4.
Fig. 4.

Configuration at with the initial condition shown in Fig. 2(a) after inversion at . The particle distribution is the same as in Fig. 2(b), although the directions correspond to the system running backward.

Image of Fig. 5.
Fig. 5.

Breaking of reversibility by noise. The inversion of directions and rules of motion occurs at for a system with the initial configuration in Fig. 2(a). The solid line represents the case when noise is introduced at . The broken line shows reversibility for noise-free inversion.

Image of Fig. 6.
Fig. 6.

Breaking of reversibility by noise. Inversion of directions and rules of motion occurs at for a system with the initial configuration in Fig. 2(a). The solid line represents the case when noise is introduced at . The broken line shows reversibility for the noise-free inversion.

Image of Fig. 7.
Fig. 7.

Partition of a -cell system into 25 -cell regions.

Image of Fig. 8.
Fig. 8.

The entropy as a function of time for the system depicted in Fig. 2 (compare with the solid line of Fig. 3).

Image of Fig. 9.
Fig. 9.

Path traveled by the particle initially at the lower-left corner of a -cell system with one particle pointing up in each of its 2500 cells at . (a) ; (b) ; and (c) .

Image of Fig. 10.
Fig. 10.

Distance (in cell-length units) between two particles adjacent at as a function of time. Note the logarithmic scale of time.

Image of Fig. 11.
Fig. 11.

Distance (in cell-length units) as a function of time between trajectories whose initial states are almost identical (see Sec. VII). Note the logarithmic scale of time.

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/content/aapt/journal/ajp/77/5/10.1119/1.3095810
2009-05-01
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Thermal noise and the emergence of the arrow of time: A simple model
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/77/5/10.1119/1.3095810
10.1119/1.3095810
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