Microscopically talking, how is heat transferred and the temperature of bodies changed?
For example, if a hot material touches a colder piece of conductive metal, how does the heat and energy transfer from one body to another? I think the result is that the velocities of the molecules of the colder body raise ( $T \propto v_{th}^2) $ until they reach the thermal velocity of the hotter one and establish a thermic equilibrium. What is the mean through which this happens? Collisions between the molecules of the two surfaces in contact? Phonons interaction?