Understanding the Relationship between K, kcm, and kint

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K is defined as the sum of kcm and kint, where kcm represents the kinetic energy associated with the center of mass, calculated as kcm = 0.5mv²cm. The variable kint refers to internal kinetic energy, which includes internal motions such as vibrations and sound (phonons), while incoherent internal motion manifests as heat. The kinetic theory of gases emphasizes the importance of kint in understanding gas molecule behavior. K_com is likened to wind, representing the collective motion of gas molecules. Understanding these relationships is crucial for grasping the dynamics of kinetic energy in various systems.
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So K = kcm + kint

Since kcm relates to the center of mass, am I correct in my understanding to state
kcm = 0.5mv2cm?

What about kint? What does this variable refers to conceptually?
 
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Presumable the "int" stands for "internal motion" ... vibrations, etc. Any coherent motion is a form of sound (phonons); incoherent internal motion shows up as heat.

The kinetic theory of gasses is based on the K_int of the gas molecules; the K_com would be the wind ...
 

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