Analytic estimation of Lyapunov exponent in a mean-field model undergoing a phase transition

Details Analytic estimation of Lyapunov exponent in a mean-field model undergoing a phase transition Analytic estimation of Lyapunov exponent in a mean-field model undergoing a phase transition

1998-03-19

arxiv.org/abs/chao-dyn/9803024v1

Nonlinear Sciences

Chaotic Dynamics

7 pages LaTex, 2 figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.57.6599

The parametric instability contribution to the largest Lyapunov exponent (LLE) is derived for a mean-field Hamiltonian model, with attractive long-range interactions. This uses a recent Riemannian approach to describe Hamiltonian chaos with a large number N of degrees of freedom. Through microcanonical estimates of suitable geometrical observables, the mean-field behavior of the LLE is analytically computed and related to the second order phase transition undergone by the system. It predicts that chaoticity drops to zero at the critical temperature and remains vanishing above it, with the LLE scaling as N^-1/3 to the leading order in N.

Affiliated with

Also associated with

No associations

Rating

Analytic estimation of Lyapunov exponent in a mean-field model undergoing a phase transition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analytic estimation of Lyapunov exponent in a mean-field model undergoing a phase transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytic estimation of Lyapunov exponent in a mean-field model undergoing a phase transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-528526