How does the velocity of sound depend on the temperarure. If you set up a simple model of a linear lattice with nearest neighbour interaction only you get the dispersion relation: w^2=4c/M * sin^2 (0.5ka) and v=w/k. where a is the spacing between atoms, c is the force constant, k the wavevector and M the mass of an atom. Of these only c dependes on temperature? How do you model, explain, show how c dependes on temperature? Maybe you know a better way to show how sound velocity dependes on temperature. Thank you.