CAJ | 학술논문

Fermi-Pasta-Ulam (FPU)β格点链中能量输运的载流子是孤子还是声子一直存在较多的争议.本文通过单脉冲方法,明确了一个能量波包在该格点链系统中从声子波包转变成为孤子波包的条件,即波包能量达到一定阈值.基于纯四次势链的声子真空效应,构造了由FPU-β链与纯四次势链构成的双段链系统.通过对比研究双段链系统和单段FPU-β链中的热流,发现低温下声子是FPU-β链中能量的主要载流子,而随着温度的升高孤子逐步取代声子成为能量的主要载流子.
Fermi-Pasta-Ulam (FPU)β격점련중능량수운적재류자시고자환시성자일직존재교다적쟁의.본문통과단맥충방법,명학료일개능량파포재해격점련계통중종성자파포전변성위고자파포적조건,즉파포능량체도일정역치.기우순사차세련적성자진공효응,구조료유FPU-β련여순사차세련구성적쌍단련계통.통과대비연구쌍단련계통화단단FPU-β련중적열류,발현저온하성자시FPU-β련중능량적주요재류자,이수착온도적승고고자축보취대성자성위능량적주요재류자.
@@@@Recently, heat conduction in low-dimensional materials has attracted much attention. The energy carriers responsible for the heat conduction in the Fermi-Pasta-Ulam (FPU) β lattice is still in debate. To the best of our knowledge, the sound velocity of energy transfer has been measured to examine the properties of the energy carriers, by using both nonequilibrium and equilibrium approaches. Nevertheless, the uncertainty of the computational data is too large to distinguish between the two predictions based on soliton theory and effective-phonon theory. In this paper, the spatiotemporal propagation of a momentum excitation traveling along the FPU-β lattice is investigated. The harmonic and anharmonic couplings induce the dispersion and localization of a energy packet on the lattice, respectively. The bifurcation of a solitary wave takes place as the energy of the packet exceeds a threshold. Based on the“acoustic vacuum”phenomenon in the pure quartic lattice, a two-segment lattice composed of the FPU-β chain and the pure quartic chain is constructed. The heat flux in the two-segment lattice is studied to compare with that in the FPU-β lattice. The ratio of the heat flux of the two-segment lattice to the FPU-β lattice increases monotonically as temperature rises. We conclude that phonons are the majority energy carriers in the low temperature regime, while solitons become dominant carriers as the temperature increases. The spatiotemporal propagation of a momentum excitation traveling along the two-segment lattice is also investigated. Phonon packets excited in the FPU-β part are reflected at the interface while solitary waves can pass through the interface. This supports microscopically our conclusion on the energy carriers in the FPU-β lattice.