caa a22 4500 467891583 CHVBK 20180406152750.0 cr unu---uuuuu 170328e20060901xx s 000 0 eng 10.1007/s10955-006-9171-2 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9171-2 Energy Transport in Weakly Anharmonic Chains [Elektronische Daten] [Kenichiro Aoki, Jani Lukkarinen, Herbert Spohn] We investigate the energy transport in a one-dimensional lattice of oscillators with a harmonic nearest neighbor coupling and a harmonic plus quartic on-site potential. As numerically observed for particular coupling parameters before, and confirmed by our study, such chains satisfy Fourier's law: a chain of length N coupled to thermal reservoirs at both ends has an average steady state energy current proportional to 1/N. On the theoretical level we employ the Peierls transport equation for phonons and note that beyond a mere exchange of labels it admits nondegenerate phonon collisions. These collisions are responsible for a finite heat conductivity. The predictions of kinetic theory are compared with molecular dynamics simulations. In the range of weak anharmonicity, respectively low temperatures, reasonable agreement is observed. Springer Science + Business Media, Inc., 2006 Fourier's law nationallicence phonon Boltzmann equation nationallicence molecular dynamics, one-dimensional lattice dynamics nationallicence Aoki Kenichiro Department of Physics, Keio University, 4-1-1 Hiyoshi, Kouhoku-ku, 223-8521, Yokohama, Japan aut Lukkarinen Jani Zentrum Mathematik, TU München, D-85747, Garching, Germany aut Spohn Herbert Zentrum Mathematik, TU München, D-85747, Garching, Germany aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/5(2006-09-01), 1105-1129 0022-4715 124:5<1105 2006 124 10955 https://doi.org/10.1007/s10955-006-9171-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9171-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aoki Kenichiro Department of Physics, Keio University, 4-1-1 Hiyoshi, Kouhoku-ku, 223-8521, Yokohama, Japan aut NATIONALLICENCE 700 1- Lukkarinen Jani Zentrum Mathematik, TU München, D-85747, Garching, Germany aut NATIONALLICENCE 700 1- Spohn Herbert Zentrum Mathematik, TU München, D-85747, Garching, Germany aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/5(2006-09-01), 1105-1129 0022-4715 124:5<1105 2006 124 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer