TY - JOUR
T1 - Instabilities in the Mean Field Limit
AU - Han-Kwan, Daniel
AU - Nguyen, Toan T.
N1 - Publisher Copyright:
© 2016, Springer Science+Business Media New York.
PY - 2016/3/1
Y1 - 2016/3/1
N2 - Consider a system of N particles interacting through Newton’s second law with Coulomb interaction potential in one spatial dimension or a (Formula presented.) smooth potential in any dimension. We prove that in the mean field limit (Formula presented.) , the N particles system displays instabilities in times of order (Formula presented.) , for some configurations approximately distributed according to unstable homogeneous equilibria.
AB - Consider a system of N particles interacting through Newton’s second law with Coulomb interaction potential in one spatial dimension or a (Formula presented.) smooth potential in any dimension. We prove that in the mean field limit (Formula presented.) , the N particles system displays instabilities in times of order (Formula presented.) , for some configurations approximately distributed according to unstable homogeneous equilibria.
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U2 - 10.1007/s10955-016-1455-6
DO - 10.1007/s10955-016-1455-6
M3 - Article
AN - SCOPUS:84959136766
SN - 0022-4715
VL - 162
SP - 1639
EP - 1653
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 6
ER -