Difference between revisions of "Energy fluctuations in one-dimensional crystal"

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[[ru:Колебания энергий в одномерном кристалле]]
 
[[ru:Колебания энергий в одномерном кристалле]]
 
[[Virtual laboratory]] > [[Energy fluctuations in one-dimensional crystal]] <HR>
 
[[Virtual laboratory]] > [[Energy fluctuations in one-dimensional crystal]] <HR>
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[[D.V. Tsvetkov]] (programming), [[A.M. Krivtsov]] (analytical silution) <HR>
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This program demonstrates the fluctuations in the kinetic, potential, and full energy in the one-dimensional crystal.
 
This program demonstrates the fluctuations in the kinetic, potential, and full energy in the one-dimensional crystal.
{{#widget:Iframe |url=http://tm.spbstu.ru/htmlets/Tcvetkov/Bessel_fluctuations/Bessel_fluctuations_v2.4_no_realiz/Bessel_fluctuations_en.html |width=1030 |height=640 |border=0 }}
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Fluctuations of the kinetic energy described by the following equation:
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:<math>
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    K_J(t) = \frac{E}{2}  \left(1 + J_0(4 \omega_0 )\right)
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    ,\qquad \omega_0 = \sqrt{C/m},
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</math>
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where
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<math>J_0</math> — Bessel function of the first kind at 0,
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<math>C</math> — is the stiffness of the interparticle bond,
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<math>m</math> — is the particle mass.
  
Download program: [[Media:Bessel_fluctuations_v2.3_no_realiz.zip|Bessel_fluctuations_v2.3_no_realiz.zip]]
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{{#widget:Iframe |url=http://tm.spbstu.ru/htmlets/Tcvetkov/Bessel_fluctuations/Bessel_fluctuations_v3.0/Bessel_fluctuations_en.html |width=1055 |height=675 |border=0 }}
  
Programmed by [[D.V. Tsvetkov]]
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Download program: [[Media:Bessel_fluctuations_v3.0.zip|Bessel_fluctuations_v3.0.zip]]
  
 
[[Category: Virtual laboratory]]
 
[[Category: Virtual laboratory]]

Latest revision as of 00:11, 21 October 2015

Virtual laboratory > Energy fluctuations in one-dimensional crystal
D.V. Tsvetkov (programming), A.M. Krivtsov (analytical silution)

This program demonstrates the fluctuations in the kinetic, potential, and full energy in the one-dimensional crystal. Fluctuations of the kinetic energy described by the following equation:

[math] K_J(t) = \frac{E}{2} \left(1 + J_0(4 \omega_0 )\right) ,\qquad \omega_0 = \sqrt{C/m}, [/math]

where [math]J_0[/math] — Bessel function of the first kind at 0, [math]C[/math] — is the stiffness of the interparticle bond, [math]m[/math] — is the particle mass.

Download program: Bessel_fluctuations_v3.0.zip