论爱因斯坦固体模型中声子的化学势

On chemical potential of phonons in Einstein solid model

本文利用微正则系综求解了爱因斯坦固体的热力学性质,并说明了在微正则系综中无法独立定义爱因斯坦固体的声子数.在其他系综中,声子数量与温度相互独立,我们严格证明了此时声子的化学势为零.

Thermodynamic quantities of the Einstein solid model are studied via the microcanonical approach.We point out that the number of phonos in Einstein solid model cannot be defined independently and thus the chemical potential of phonos cannot be defined in the microcanonical ensemble.The chemical potential of phonos can be calculated only if the number of phonons can fluctuate.And we prove that the chemical potential of phonos in Einstein solid model strictly equals to zero in other ensembles.