[물리] Virial thm. (비리얼 정리)
게시글 주소: https://orbi.kr/00059077447
General statement
T: total kinetic energy of the N particles
F_i: the force on the ith particle, which is located at position r_i
<>: braket represents the time-averaged
Especially for two-particle interaction whose potential is in form of V(r)=arⁿ that is proportional to some power n of the interparticle distance r,
V_TOT represents the total potential energy of the system, i.e., the sum of the potential energy V(r) over all pairs of particles in the system.
Example 1) hooke's law
n=2 (V=(k/2)x²)
You may be familiar with this fact that the average kinetic and potential energies are the same and both equal half of the total energy.
Example 2) Coulomb / Gravitational force
n=-1 (V~1/r)
Very useful tool for calculating the average total energy.
We can use it for Bohr model, planetary solar system, etc.
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이 정리는 물리1은 좀 애매한 것 같고, 물리2에서는 어쩌면 쓸 수도 있을 것 같습니다.
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