Heat Conduction in Homogeneous and Heterogeneous Billiard Systems

Abstract

We investigate the heat conduction in a modified Lorentz gas with freely rotating disks periodically placed along one-dimensional channel. The heat conductivity is dependent on the moment of inertia η of the disks, with a power-law decay when η > 1. By plotting the Poincaré surface of the section, we observe a contraction of phase space over the range of η > 1, which is sensitive to the initial condition. We find that the power-law decay of the heat conductivity is relevant to the mixing phase space. As a possible application, we model the heterostructure by connecting the segments of different η, and predict the analytical results of the temperature profiles and the heat conductivity, which are in good agreement with the numerical ones.

A Simplified Method for Distribution Design of Explosive Rods to Simulate Cosine-Distributed Impulse on Cylindrical/Conical Shell

“…In 2010, Mao et al [5], referred to the method based on load discretization and impulse equivalence, but the details were not stated. The following chapter will give the detailed method for design of rod-distribution.…”

“…According to the principle of load discretization and impulse equivalence, the rod-distribution design process should be: 1) Calibrate the specific impulse of the sheet explosive by a pendulum facility (see Ref [5] for details).…”

“…So test simulations play important rolls in X-ray responses investigations. Presently, the test simulation techniques, especially for full scale aerospace structures, include the rod-explosive technique [3][4][5], the sheet-explosive technique [6][7][8], the light-initiated high explosive (LIHE) technique [9] and the spray lead at target (SPLAT) technique using mild detonating fuses (MDFs) [10,11]. By comparison, the LIHE technique has highest fidelities but it has highest costs; the SPLAT technique has medium fidelities but the operation and load characteristics are rather complicated; the rod-explosive and sheet-explosive techniques have lower fidelities, but they have lowest costs.…”

Symmetric Heat Conduction in Harmonic Chain With Harmonic on-Site Potential and Mass Gradient

“…One-dimensional (1D) chain models have been extensively used to study the heat conduction [13][14][15][16] and design some promising thermal devices [1][2][3][4][5]17,18 since they have some physical counterparts and convenient mathematical treatment. First, Terraneo et al 1 pointed out the possibility of designing a thermal diode by coupling three segments of harmonic lattices with anharmonic on-site potential, and gained a factor about 2 which defined as the ratio of thermal fluxes in two opposite directions, i.e., |J + /J − |.…”