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- W2079725444 abstract "We calculate analytically the largest Lyapunov exponent of the so-called $alpha XY$ Hamiltonian in the high energy regime. This system consists of a $d$-dimensional lattice of classical spins with interactions that decay with distance following a power-law, the range being adjustable. In disordered regimes the Lyapunov exponent can be easily estimated by means of the stochastic approach, a theoretical scheme based on van Kampen's cumulant expansion. The stochastic approach expresses the Lyapunov exponent as a function of a few statistical properties of the Hessian matrix of the interaction that can be calculated as suitable microcanonical averages. We have verified that there is a very good agreement between theory and numerical simulations." @default.
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- W2079725444 date "2004-09-01" @default.
- W2079725444 modified "2023-09-27" @default.
- W2079725444 title "Largest Lyapunov exponent of long-range XY systems" @default.
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- W2079725444 doi "https://doi.org/10.1016/j.physa.2004.04.005" @default.
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