scholarly journals Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of nonrelativistic fermions in one dimension

2017 ◽  
Vol 95 (9) ◽  
Author(s):  
Andrew C. Loheac ◽  
Joaquín E. Drut
2004 ◽  
Vol 21 (2) ◽  
pp. 258-261 ◽  
Author(s):  
Li Zeng-Hua ◽  
Zuo Wei ◽  
Lu Guang-Cheng ◽  
Yong Gao-Chan

2018 ◽  
Vol 121 (17) ◽  
Author(s):  
Lukas Rammelmüller ◽  
Andrew C. Loheac ◽  
Joaquín E. Drut ◽  
Jens Braun

2012 ◽  
Vol 75 (7) ◽  
pp. 866-869 ◽  
Author(s):  
A. Yu. Illarionov ◽  
S. Fantoni ◽  
F. Pederiva ◽  
S. Gandolfi ◽  
K. E. Schmidt

1978 ◽  
Vol 78 (5) ◽  
pp. 547-551 ◽  
Author(s):  
H. Toki ◽  
Y. Futami ◽  
W. Weise

2014 ◽  
Vol 47 (1) ◽  
pp. 384-390 ◽  
Author(s):  
Martin Etter ◽  
Robert E. Dinnebier

Parametric refinement is used for the simultaneous modeling of a series of diffraction data, replacing single independent parameters with physical or empirical equations that are valid for the full sequence of data. For the parametric treatment of diffraction data at high pressure, pressure-dependent constraints can be introduced in the form of an equation of state (EoS). However, the parameterization needs inverse functions of the EoS and most of them are not analytically invertible. In order to overcome this drawback, Taylor series expansions of different orders of the Vinet EoS were calculated and analytically inverted. It is shown that the inverted third-order Vinet EoS approximation, in its volume and linearized version, is applicable to a wide range of materials under high pressure.


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