title: Nonintegrability and the Fourier heat conduction law.
abstract: We study in momentum-conserving systems, how nonintegrable dynamics may affect thermal transport properties. As illustrating examples, two one-dimensional (1D) diatomic chains, representing 1D fluids and lattices, respectively, are numerically investigated. In both models, the two species of atoms are assigned two different masses and are arranged alternatively. The systems are nonintegrable unless the mass ratio is one. We find that when the mass ratio is slightly different from one, the heat conductivity may keep significantly unchanged over a certain range of the system size and as the mass ratio tends to one, this range may expand rapidly. These results establish a new connection between the macroscopic thermal transport properties and the underlying dynamics.
authors.affiliation: CNISM and Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria, via Valleggio 11, I-22100 Como, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, I-20133 Milano, Italy.
authors.forename: Shunda
authors.initials: S
authors.lastname: Chen
authors.affiliation: Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, Fujian, China.
authors.forename: Jiao
authors.initials: J
authors.lastname: Wang
authors.affiliation: CNISM and Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria, via Valleggio 11, I-22100 Como, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, I-20133 Milano, Italy and International Institute of Physics, Federal University of Rio Grande do Norte, Natal, Brasil.
authors.forename: Giulio
authors.initials: G
authors.lastname: Casati
authors.affiliation: CNISM and Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria, via Valleggio 11, I-22100 Como, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, I-20133 Milano, Italy.
authors.forename: Giuliano
authors.initials: G
authors.lastname: Benenti
mesh_terms: D005583:Fourier Analysis; D005740:Gases; D008962:Models, Theoretical; D013814:Thermal Conductivity
chemical_list: D005740:Gases