Intriguing Heat Conduction of a Polymer Chain
arXiv:cond-mat/0308445 · doi:10.1103/PhysRevLett.92.074302
Abstract
We study heat conduction in a one-dimensional chain of particles with longitudinal as well as transverse motions. The particles are connected by two-dimensional harmonic springs together with bending angle interactions. Using equilibrium and nonequilibrium molecular dynamics, three types of thermal conducting behaviors are found: a logarithmic divergence with system sizes for large transverse coupling, 1/3 power-law at intermediate coupling, and 2/5 power-law at low temperatures and weak coupling. The results are consistent with a simple mode-coupling analysis of the same model. The 1/3 power-law divergence should be a generic feature for models with transverse motions.
arXiv comment4 pages
References in corpus (13)
- Thermal conduction in classical low-dimensional lattices
- Anomalous heat conduction in one dimensional momentum-conserving systems
- Heat conduction in one dimensional chains
- Anomalous heat conduction and anomalous diffusion in one dimensional systems
- On the anomalous thermal conductivity of one-dimensional lattices
- Heat conduction in one dimensional nonintegrable systems
- Momentum conservation implies anomalous energy transport in 1d classical lattices
- Heat Conduction and Entropy Production in a One-Dimensional Hard-Particle Gas
- Fermi-Pasta-Ulam lattice: Peierls equation and anomalous heat conductivity
- Relaxation of classical many-body hamiltonians in one dimension
- Anomalous Heat Conduction in a Di-atomic One-Dimensional Ideal Gas
- Finite thermal conductivity in 1D models having zero Lyapunov exponents
- Heat conductivity in linear mixing systems
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