Heat conduction in a three-dimensional momentum-conserving fluid
arXiv:2104.14747 · doi:10.1103/PhysRevE.103.L050102
Abstract
Size-dependence of energy transport and the effects of reduced dimensionality on transport coefficients are of key importance for understanding nonequilibrium properties of matter on the nanoscale. Here, we perform nonequilibrium and equilibrium simulations of heat conduction in a 3D fluid with the multiparticle collision dynamics, interacting with two thermal-walls. We find that the bulk 3D momentum-conserving fluid has a finite non-diverging thermal conductivity. However, for large aspect-ratios of the simulation box, a crossover from 3D to one-dimensional (1D) abnormal behavior of the thermal conductivity occurs. In this case, we demonstrate a transition from normal to abnormal transport by a suitable decomposition of the energy current. These results not only provide a direct verification of Fourier's law but also further confirm the validity of existing theories for 3D fluids. Moreover, they indicate that abnormal heat transport persists also for almost 1D fluids over a large range of sizes.
References in corpus (10)
- Heat Transport in low-dimensional systems
- Hydrodynamic interactions and Brownian forces in colloidal suspensions: Coarse-graining over time and length-scales
- A momentum conserving model with anomalous thermal conductivity in low dimension
- Local Temperature and Universal Heat Conduction in FPU chains
- Self-Consistent Mode-Coupling Approach to 1D Heat Transport
- Non-integrability and the Fourier heat conduction law
- Too Close to Integrable: Crossover from Normal to Anomalous Heat Diffusion
- Anomalous heat transport in classical many-body systems: overview and perspectives
- Detailed Examination of Transport Coefficients in Cubic-Plus-Quartic Oscillator Chains
- Kinetic and hydrodynamic regimes in multi-particle-collision dynamics of a one-dimensional fluid with thermal walls