TY - JOUR
T1 - Collision rate ansatz for the classical Toda lattice
AU - Spohn, Herbert
N1 - Publisher Copyright:
© 2020 American Physical Society.
PY - 2020/6
Y1 - 2020/6
N2 - We consider a generalized Gibbs ensemble of the classical Toda lattice. We establish that the collision rate ansatz follows because (i) the charge-current susceptibility matrix is symmetric and (ii) the stretch current is proportional to the momentum, hence conserved. The method applies also to other integrable many-body systems, either classical or quantum, provided there is a self-conserved current.
AB - We consider a generalized Gibbs ensemble of the classical Toda lattice. We establish that the collision rate ansatz follows because (i) the charge-current susceptibility matrix is symmetric and (ii) the stretch current is proportional to the momentum, hence conserved. The method applies also to other integrable many-body systems, either classical or quantum, provided there is a self-conserved current.
UR - http://www.scopus.com/inward/record.url?scp=85088352177&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.101.060103
DO - 10.1103/PhysRevE.101.060103
M3 - Article
C2 - 32688512
AN - SCOPUS:85088352177
SN - 2470-0045
VL - 101
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 6
M1 - 060103
ER -