Topic
Translational partition function
About: Translational partition function is a research topic. Over the lifetime, 445 publications have been published within this topic receiving 8662 citations.
Papers published on a yearly basis
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Papers
TL;DR: In this paper, it is shown from first principles that liquid He4 should exhibit a transition analogous to the transition in an ideal Bose-Einstein gas, and the exact partition function is written as an integral over trajectories, using the space-time approach to quantum mechanics.
Abstract: It is shown from first principles that, in spite of the large interatomic forces, liquid He4 should exhibit a transition analogous to the transition in an ideal Bose-Einstein gas. The exact partition function is written as an integral over trajectories, using the space-time approach to quantum mechanics. It is next argued that the motion of one atom through the others is not opposed by a potential barrier because the others may move out of the way. This just increases the effective inertia of the moving atom. This permits a simpler form to be written for the partition function. A rough analysis of this form shows the existence of a transition, but of the third order. It is possible that a more complete analysis would show that the transition implied by the simplified partition function is actually like the experimental one.
500 citations
TL;DR: In this paper, the canonical partition function for lattice QCD at finite temperature and density is calculated by fixing the total quark number and introducing approximations allowed in the low density region.
Abstract: We discuss the nature of the phase transition for lattice QCD at finite temperature and density. We propose a method to calculate the canonical partition function by fixing the total quark number introducing approximations allowed in the low density region. An effective potential as a function of the quark number density is discussed from the canonical partition function. We analyze data obtained in a simulation of two-flavor QCD using p4-improved staggered quarks with bare quark mass $m/T=0.4$ on a ${16}^{3}\ifmmode\times\else\texttimes\fi{}4$ lattice. The results suggest that the finite density phase transition at low temperature is of first order.
280 citations
213 citations
TL;DR: Statistical mechanics of gravitational fields describing the black-hole topological sector, and the correspondence to thermodynamics, are considered and a measure is obtained, resulting in a path-integral form of the canonical partition function.
Abstract: Statistical mechanics of gravitational fields describing the black-hole topological sector, and the correspondence to thermodynamics, are considered. The Euclidean action is evaluated on the constraint hypersurface and a measure is obtained, resulting in a path-integral form of the canonical partition function. We obtain the usual black-hole entropy plus quantum corrections when the temperature and size of the system are appropriate. Under other conditions, we give evidence for the existence of a phase transition (change of topology).
208 citations
TL;DR: In this paper, the electronic partition functions of the atoms and first ions of 73 elements have been calculated over the temperature range of 1500-7000°K. The results are presented in the form of a fifth order polynomial expression which has been fitted to the data by a method of least squares.
178 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2017 | 3 |
| 2016 | 1 |
| 2015 | 13 |
| 2014 | 3 |
| 2013 | 8 |
| 2012 | 12 |