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

From Department of Theoretical and Applied Mechanics
Jump to: navigation, search
 
(4 intermediate revisions by the same user not shown)
Line 1: Line 1:
 
[[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.
−
{{#widget:Iframe |url=http://tm.spbstu.ru/htmlets/Tcvetkov/Bessel_fluctuations/Bessel_fluctuations_v2.3_no_realiz/Bessel_fluctuations_en.html |width=1030 |height=640 |border=0 }}
+
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_v2.3_no_realiz.zip|Bessel_fluctuations_v2.3_no_realiz.zip]]
+
Download program: [[Media:Bessel_fluctuations_v3.0.zip|Bessel_fluctuations_v3.0.zip]]
−
Programmed by [[D.V. Tsvetkov]]
 
  
 
[[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

Retrieved from "http://mech.spbstu.ru/?title=Energy_fluctuations_in_one-dimensional_crystal&oldid=6189"