I am a private pilot and noticed something. Flying in the colder winter days seems way calmer and less turbulent to me than flying during the summer. Now because I do not have that much of experience this might just be coincidental. And of course I know that on any day there are so many factors that weigh in when it comes to the weather. Still, my question is:
Is there a physically explainable tendency for warm days to have more turbulent air / a higher wind?
A thought that might support my experience:
Because of the ideal gas equation
pV = nRT
I see that a higher temperature results in a greater pressure gradient , thus leading to more wind. Problem I see with this explanation is that this might explain air flow/wind on a large regional scale, not the turbulence I experience with a small GA aircraft.
Furthermore I thought that because of higher temperature, the air molecules have more kinetic energy and fluctuate more. Although this might be true, I realized that this is just an explanation of the microscopic scale and should not be of any significance answering the question.