The heat conduction in a one-dimensional （1D） hard-point model with mass gradient is studied. Using numerical simulation, we find an asymmetric heat conduction in this model with greater heat current in the directio...The heat conduction in a one-dimensional （1D） hard-point model with mass gradient is studied. Using numerical simulation, we find an asymmetric heat conduction in this model with greater heat current in the direction of mass increase. The increase of temperature gradient, mass gradient and system size axe found to enhance the asymmetric heat conduction. Based on the collision dynamic of a haxd-point particle, we give a qualitative explanation for the underlying mechanism of asymmetric effect.展开更多
An analytical expression of the Loschmidt echo in the Lipkin-Meshkov Gliek model is derived in the thermody- namical limit. It is used in the study of the decaying behaviour of the echo at the critical point of a quan...An analytical expression of the Loschmidt echo in the Lipkin-Meshkov Gliek model is derived in the thermody- namical limit. It is used in the study of the decaying behaviour of the echo at the critical point of a quantum phase transition of the model It is shown that the echo has a power law decay for relatively long times.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No 10605020, and the Natural Science Foundation of Zhejiang Province under Grant No Y605376.
文摘The heat conduction in a one-dimensional （1D） hard-point model with mass gradient is studied. Using numerical simulation, we find an asymmetric heat conduction in this model with greater heat current in the direction of mass increase. The increase of temperature gradient, mass gradient and system size axe found to enhance the asymmetric heat conduction. Based on the collision dynamic of a haxd-point particle, we give a qualitative explanation for the underlying mechanism of asymmetric effect.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10775123 and 10975123, the National Basic Research Program of China under Grant No 2007CB925200, and the Natural Science and Technology Foundation of Guizhou Province under Grant No [2009]2267.
文摘An analytical expression of the Loschmidt echo in the Lipkin-Meshkov Gliek model is derived in the thermody- namical limit. It is used in the study of the decaying behaviour of the echo at the critical point of a quantum phase transition of the model It is shown that the echo has a power law decay for relatively long times.
