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The Specific Heat and Bose-Einstein Condensation for Bose Gas in Random Box

Author: WangSai
Tutor: KongXiangMu
School: Qufu Normal University
Course: Condensed Matter Physics
Keywords: Bose - Einstein condensate Relativistic Bose gas Random boundary conditions Gravity field
CLC: O414.13
Type: Master's thesis
Year: 2010
Downloads: 17
Quote: 0
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Abstract


Since the 1995 experiment on Bose - Einstein condensate (Bose-Einstein condensation, BEC) BEC research in theoretical and experimental have made important progress. Papers on non-relativistic Bose gas and relativistic ideal Bose gas thermodynamic properties, as well as with the chassis in the Bose gas condensation reviewed, studied with weak chassis Bose gas specific heat and gravity field thermodynamic properties of interacting Bose gas. The specific heat with the chassis ideal Bose gas in a box border to meet bimodal distribution and Gaussian distribution, the calculation Bose gas specific heat. Compared with the rigid box, rigid box in the specific heat is found to be greater than with the chassis ideal Bose gas specific heat, and increases the extent of becoming increasingly clear that with the increase of the fluctuations of the magnitude of changes This shows that the random boundary conditions lead to a change in behavior of the system. It was also found that the specific heat at the critical temperature is continuous. The mean-field approximation with the chassis of a weakly interacting Bose gas. The case of a bimodal distribution with a Gaussian distribution in the boundary of the box to meet, on the critical temperature and the specific heat were discussed. The results show that the critical temperature is lower than the critical temperature of the rigid box with chassis system, the specific heat value is greater than the value of the rigid box. Also found that the transition occurs at a critical temperature specific heat, the extent of the transition is less than the rigid box, is getting smaller and smaller with the increase of the fluctuation magnitude of changes, transitions, along with the increase of the interaction parameter, hop The degree of change is increasing. With the chassis ideal Bose gas specific heat in the ultra-relativistic limit conditions. In the case of the boundary of the box to meet the bimodal distribution with a Gaussian distribution, the constant volume specific heat were calculated. Studies have shown that with the chassis in an ideal Bose gas specific heat is greater than the specific heat in the rigid box, and with the increase of the fluctuations of the magnitude of changes, the extent of the increase is more and more obvious. Specific heat at the critical temperature of the transition phenomenon, with the increase of the fluctuations of the magnitude of changes, the transition is getting smaller and smaller. This fully shows that the random boundary conditions have a significant effect on the thermodynamic properties of the Bose gas. The mean field theory to study the thermodynamic properties of the gravitational field of a weakly interacting Bose gas. Calculated density of states of the system, the critical temperature and the ground state occupation numbers discussed the specific heat jump at the critical temperature behavior. The results show that: in the gravitational field, when the repulsive interactions between atoms, weakly interacting Bose gas critical temperature is lower than ideal Bose gas, the same temperature at the ground state occupation numbers of the ground state occupation numbers and the ideal Bose gas phase than decrease; when the attractive interaction between atoms, weakly interacting Bose gas critical temperature higher than the ideal Bose gas, the same temperature at the ground state occupation numbers and the ideal Bose gas ground state occupation numbers compared increases. But the system is the specific heat at the critical temperature is continuous.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Thermodynamics and Statistical Physics > Thermodynamics > Phase transition
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