Many-body symbolic dynamics of a classical oscillator chain

Details Many-body symbolic dynamics of a classical oscillator chain Many-body symbolic dynamics of a classical oscillator chain

2000-10-23

arxiv.org/abs/nlin/0010036v2

Nonlinearity 15, 45 (2002)

Nonlinear Sciences

Chaotic Dynamics

22 pages in LaTeX with 14 figures; submitted to Nonlinearity ; corrected page offset problem

Scientific paper

10.1088/0951-7715/15/1/303

We study a certain type of the celebrated Fermi-Pasta-Ulam particle chain, namely the inverted FPU model, where the inter-particle potential has a form of a quartic double well. Numerical evidence is given in support of a simple symbolic description of dynamics (in the regime of sufficiently high potential barrier between the wells) in terms of an (approximate) Markov process. The corresponding transition matrix is formally identical to a ferromagnetic Heisenberg quantum spin-1/2 chain with long range coupling, whose diagonalization yields accurate estimates for a class of time correlation functions of the model.

Affiliated with

Also associated with

No associations

Rating

Many-body symbolic dynamics of a classical oscillator chain 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 Many-body symbolic dynamics of a classical oscillator chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Many-body symbolic dynamics of a classical oscillator chain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-46134