Energy fluctuations in one-dimensional crystal

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