Since the two concepts pertain to electrons shifting around atoms/molecules, I'm having trouble making sense of whether there is a relationship between the two or not.

(.) Electron Sea Model: only applicable to metals and serve to explain the properties of metal. In this model, metal nuclei are bathing in a sea of valence electrons, in which case even without an external polarizing force (electromagnetic field), the electrons are free-moving from the attraction forces of one nuclei to another.

(.) Polarizability: large in large atoms/molecules and positively proportional to London Dispersion forces. It refers to how easy or difficult it is to induce a dipole on that molecule. What is happening to the electrons when a dipole is induced? Is it because for larger atoms or molecules, electrons are loosely attracted to the nuclei or repulsed by other clouds of electron density respectively, then it's easier for an external source of energy to make them physically displace to one extremity vs. another? Consequently, larger atoms/molecules are more polarizable i.e. more susceptible to induced dipole, thus have larger London dispersion forces?

Thanks in advance