We consider a one-dimensional system of particles on the half line R+ = [0, oo) interacting through elastic collisions among themselves and with a "wall" at the origin. On the first particle a constant force E is acting, no external forces act on the other particles. All particles are identical except the first one which has a larger mass. We prove that if E is such that the Gibbs equilibrium state exists, the corresponding equilibrium dynamical system is a Bernoulli flow.
Bernoulli Property for a one-dimesnional system with localized interaction / Boldrighini, Carlo. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 103:(1986), pp. 499-514.
Bernoulli Property for a one-dimesnional system with localized interaction
BOLDRIGHINI, Carlo
1986
Abstract
We consider a one-dimensional system of particles on the half line R+ = [0, oo) interacting through elastic collisions among themselves and with a "wall" at the origin. On the first particle a constant force E is acting, no external forces act on the other particles. All particles are identical except the first one which has a larger mass. We prove that if E is such that the Gibbs equilibrium state exists, the corresponding equilibrium dynamical system is a Bernoulli flow.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
