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带电粒子系统在双外场中的高温弱简并效应
The high temperature weak degeneration effect of charged particle system in two external field
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摘要: 用Thomas-Fermi半经典统计理论和方法,研究处于匀强电场加谐振场约束的带电粒子系统的热力学性质,首先导出外场约束下带电粒子系统的量子状态数密度,进而给出高温弱简并情况下带电粒子系统的化学势、内能和热容量的解析式,并分析电场和谐振场对系统化学势、内能和热容量的具体影响.研究结果表明,带电粒子系统在双外场约束下具有高温弱简并效应.Abstract: In light of the semiclassical statistical theory and method proposed by Thomas-Fermi, this paper conducts a research of the thermodynamic properties of charged particle system restricted by the homogeneous electric and the resonance field. Based on the derivation of the quantum state density of the charged particle system under the condition of high temperature and weak degeneration, the analytic formula of its chemical potential, internal energy and heat capacity is calculated, follow by a detailed analysis of the influence of the two fields on the chemical potential, internal energy and heat capacity. It is finally concluded that the two external fields exert a high temperature and weak degeneration effect on the charged particle system.
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