Heat conduction in one-dimensional chains and nonequilibrium Lyapunov spectrum
- Institute for Experimental Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna (Austria)
- Department of Applied Science, University of California at Davis--Livermore and Lawrence Livermore National Laboratory, Livermore, California 94551-7808 (United States)
We define and study the heat conductivity {kappa} and the Lyapunov spectrum for a modified {open_quotes}ding-a-ling{close_quotes} chain undergoing steady heat flow. Free and bound particles alternate along a chain. In the present work, we use a linear gravitational potential to bind all the even-numbered particles to their lattice sites. The chain is bounded by two stochastic heat reservoirs, one hot and one cold. The Fourier conductivity of the chain decreases smoothly to a finite large-system limit. Special treatment of satellite collisions with the stochastic boundaries is required to obtain Lyapunov spectra. The summed spectra are negative, and correspond to a relatively small contraction in phase space, with the formation of a multifractal strange attractor. The largest of the Lyapunov exponents for the ding-a-ling chain appears to converge to a limiting value with increasing chain length, so that the large-system Lyapunov spectrum has a finite limit. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 662214
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 58, Issue 4; Other Information: PBD: Oct 1998
- Country of Publication:
- United States
- Language:
- English
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