Non-extensive Statistical Mechanics and Statistical Distribution for Completely Open Systems

Bin, Yang; Li, Heling; Xiong, Ying

doi:10.1007/978-3-642-34041-3_38

Cited by 1 publication

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References 8 publications

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“…According to References [15,16], the partition function of N-E-V distribution based on Shannon entropy is…”

Section: The Partition Function Of Weakly Interacting Fermion In N-e-mentioning

confidence: 99%

“…The power of the magnetic Feshbach resonance lies in artificially adjusting the strength of the interaction between atoms and their properties by adjusting the strength of the magnetic field(the external parameter), and facilitating the discovery of the molecules formed by Fermi atoms in the experiment and the pairings of Fermi atoms formed under the many-body interactions, and detecting the BEC of possible Fermi molecular and the BCS of Fermi atoms from Cooper Pairs as well as the cross between them under the condition that the temperature is low enough .Markus Greiner et al, using thin Fermi gas, conducted an experiment with the temperature at 0.17TF, which led to the BEC of Fermi molecular.） References [12,13] studied the thermodynamic property of weakly interacting Fermi system through pseudopotential method based on canonical system. References [14,15] expanded the corresponding ensemble (N-E-V distribution) of the completely open system to systems of any size. The references also put forward that the corresponding ensemble of the completely open system is a system where the volume, energy and particle number are variable.…”

Section: Introductionmentioning

confidence: 99%

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Research on the Thermodynamic Property of Weakly Interacting Fermi Gases Through N-E-V Distribution and Pseudopotential Method

Li¹,

Wang²,

Yang³

et al. 2017

dtmse

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As the experiments of quantum system are conducted in the external field where the volume, energy and particle number are variable, the thermodynamic property of weakly interacting Fermi system is studied in this paper through the statistical distribution (N-E-V distribution) of a completely open system where the volume, energy and particle number are variable. Firstly, analytical expressions of internal energy, the equation of state, entropy and heat capacity expressed by Fermi integral are worked out. On that basis, the analytical expression and results of numerical calculation of the above thermodynamic quantities in extremely low temperature conditions can be known. Then, comparison between the calculations of N-E-V distribution and pseudopotential method (the volume and particle number remain the same) is drawn. The results show that the calculation of N-E-V distribution always makes up for the deviation of that of pseudopotential method. Besides, the most special thing about the calculation derived from N-E-V distribution is that the temperature variation curve of internal energy and that in the ideal Fermi system intersect. The characteristics of energy transfer between "attractive force" and "repulsive force" at the intersection temperature t c , which indicates that there is a phase transition. The intersection temperature does not change with the scattering length a (a<0 attractive force, a>0 repulsive force). Moreover, the intersection temperature of all weakly interacting Fermi system is 0.184 times as large as Fermi temperature, which is within the range of temperature for BEC and BCS phase transition and BEC-BCS crossover.

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“…According to References [15,16], the partition function of N-E-V distribution based on Shannon entropy is…”

Section: The Partition Function Of Weakly Interacting Fermion In N-e-mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Research on the Thermodynamic Property of Weakly Interacting Fermi Gases Through N-E-V Distribution and Pseudopotential Method

Li¹,

Wang²,

Yang³

et al. 2017

dtmse

Self Cite

View full text Add to dashboard Cite

show abstract

Non-extensive Statistical Mechanics and Statistical Distribution for Completely Open Systems

Cited by 1 publication

References 8 publications

Research on the Thermodynamic Property of Weakly Interacting Fermi Gases Through N-E-V Distribution and Pseudopotential Method

Research on the Thermodynamic Property of Weakly Interacting Fermi Gases Through N-E-V Distribution and Pseudopotential Method

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