Difference between revisions of "Energy fluctuations in one-dimensional crystal"
From Department of Theoretical and Applied Mechanics
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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> | ||
| + | [[D.V. Tsvetkov]] (programming), [[A.M. Krivtsov]] (analytical silution) <HR> | ||
| + | |||
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. | ||
| − | {{ | + | 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. | ||
| − | + | {{#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 }} | |
| − | + | 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 crystalD.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:
where — Bessel function of the first kind at 0, — is the stiffness of the interparticle bond, — is the particle mass.
Download program: Bessel_fluctuations_v3.0.zip
