泊松恒温器的渐近散射
Asymptotic Scattering by Poissonian Thermostats
摘要:
本文考虑原点为泊松恒温器的耦合谐振子无限长链。在高频极限下,我们建立了恒温器散射波能的反射-透射-散射系数。与朗之万恒温器的情况不同,在宏观极限下,泊松恒温器散射产生一个连续的波云,其频率与入射波的频率不同。
英文摘要:
We consider an infinite chain of coupled harmonic oscillators with a Poisson thermostat at the origin. In the high frequency limit, we establish the reflection-transmission-scattering coefficients for the wave energy scattered off the thermostat. Unlike the case of the Langevin thermostat [5], in the macroscopic limit the Poissonian thermostat scattering generates a continuous cloud of waves of frequencies different from that of the incident wave.
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