Time Evolution of Infinite Classical Systems
نویسنده
چکیده
I will discuss in this article some recent progress in the problem of proving existence and uniqueness of solutions to Newton's equations of motion for infinite systems of classical particles interacting by two-body forces which go to zero reasonably quickly as the particle separation goes to infinity. For technical simplicity, I will assume that the interparticle potential 0 has a Lipschitz continuous derivative and finite range, but the results I will describe have extensions which require neither finite range nor the absence of singularities in the potential. To establish notation: We consider systems of infinitely many particles with positions {qt) and momenta (/?,), moving in R . The equations of motion are
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