Transport Properties of a Chain of Anharmonic Oscillators with Random Flip of Velocities
Transport Properties of a Chain of Anharmonic Oscillators with Random Flip of Velocities
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速度随机翻转的非简谐振子链的传输特性
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
S. Olla
中科院分区：
文献类型：
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作者：
C. Bernardin;S. Olla
我们考虑一个链的n个非谐耦合振子的定态，其确定性的哈密顿动力学扰动的随机独立的符号变化的速度（一个随机的机制，节约能源）。末端耦合到不同温度T和Tr的恒温器，并受到恒定的力τ和τr。如果力不同，则系统的质心将以速度Vs移动，从而在系统内引起张力梯度。我们的目的是看到张力梯度对热导率的影响。我们研究了定态的熵产生性质，并证明了由Green-Kubo公式（线性响应）定义的Onsager矩阵的存在性。我们还证明了一些明确的界限上的热导率，取决于温度。
We consider the stationary states of a chain of n anharmonic coupled oscillators, whose deterministic Hamiltonian dynamics is perturbed by random independent sign change of the velocities (a random mechanism that conserve energy). The extremities are coupled to thermostats at different temperature Tℓ and Tr and subject to constant forces τℓ and τr. If the forces differ τℓ≠τr the center of mass of the system will move of a speed Vs inducing a tension gradient inside the system. Our aim is to see the influence of the tension gradient on the thermal conductivity. We investigate the entropy production properties of the stationary states, and we prove the existence of the Onsager matrix defined by Green-Kubo formulas (linear response). We also prove some explicit bounds on the thermal conductivity, depending on the temperature.