Abstract
Exact series coefficients through eighth order are reported for the high temperature expansion of the Gaussian core model free energy. Although this expanison has a vanishing radius of convergence it can be summed by a Borel integral transform. It is demonstrated that this Borel transform has an intimate connection to ’’crystallites’’ in the stable fluid phase which causes it to display a replica of the distribution function for large crystallites. This last observation permits implementation of a transform subtractive procedure which generates metastable extensions of fluid properties into the supercooled regime below the thermodynamic freezing temperature.
References
15
Referenced
28
10.1063/1.432891
/ J. Chem. Phys. (1976)10.1063/1.436191
/ J. Chem. Phys. (1978){'key': '2024020917461902700_r2a', 'first-page': '1074E', 'volume': '70', 'year': '1979', 'journal-title': 'J. Chem. Phys.'}
/ J. Chem. Phys. (1979){'key': '2024020917461902700_r3'}
{'key': '2024020917461902700_r4'}
10.1063/1.523395
/ J. Math. Phys. (1977)10.1103/PhysRevLett.39.95
/ Phys. Rev. Lett. (1977){'key': '2024020917461902700_r7'}
{'key': '2024020917461902700_r8', 'first-page': '1415', 'volume': '18', 'year': '1964', 'journal-title': 'Soviet Physics JETP'}
/ Soviet Physics JETP (1964)10.1103/PhysicsPhysiqueFizika.3.255
/ Physics (1967)10.1103/PhysRevLett.37.639
/ Phys. Rev. Lett. (1976)10.1007/BF01032094
/ Theor. Math. Phys. (1976)10.1063/1.1776907
/ J. Chem. Phys. (1963){'key': '2024020917461902700_r13'}
{'key': '2024020917461902700_r14'}
Dates
Type | When |
---|---|
Created | 22 years, 5 months ago (Feb. 27, 2003, 5:52 p.m.) |
Deposited | 1 year, 6 months ago (Feb. 9, 2024, 2:42 p.m.) |
Indexed | 4 months, 3 weeks ago (March 27, 2025, 2:39 p.m.) |
Issued | 46 years, 3 months ago (May 1, 1979) |
Published | 46 years, 3 months ago (May 1, 1979) |
Published Print | 46 years, 3 months ago (May 1, 1979) |
@article{Stillinger_1979, title={High temperature expansion for the Gaussian core model}, volume={70}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.438029}, DOI={10.1063/1.438029}, number={9}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Stillinger, Frank H.}, year={1979}, month=may, pages={4067–4075} }