Поиск :
Личный кабинет :
Электронный каталог: Yukalov, V. I. - Self-Similar Summation of Virial Expansions
Yukalov, V. I. - Self-Similar Summation of Virial Expansions
Статья
Автор: Yukalov, V. I.
Molecular Physics: Self-Similar Summation of Virial Expansions
б.г.
ISBN отсутствует
Автор: Yukalov, V. I.
Molecular Physics: Self-Similar Summation of Virial Expansions
б.г.
ISBN отсутствует
На полку
Статья
Yukalov, V.I.
Self-Similar Summation of Virial Expansions / V.I.Yukalov, E.P.Yukalova. – Text : electronic // Molecular Physics. – 2026. – Vol. 124, No. 6. – P. e2563021. – URL: https://doi.org/10.1080/00268976.2025.2563021.
Virial expansions are the series in powers of density assumed to be small. However, the equations of state require considering finite densities for which virial expansions, as a rule, diverge. In order to extrapolate a virial expansion to the values where this expansion diverges, a novel approach for the summation of virial expansions is suggested, based on self-similar approximation theory. The method is regular and uniquely defined. It allows for the determination of physically motivated poles. The accuracy of self-similar approximants is not worse than that of the best Padé approximants with fitting parameters or of Monte Carlo simulations. The self-similar summation is based solely on virial expansions, involving no fitting parameters. In some cases, self-similar summation allows for reconstructing the sought functions exactly. The approach is illustrated by summing virial expansions for hard-disc fluids, hard-sphere fluids and systems with power-law potentials.
Спец.(статьи,препринты) = С 325.5 - Теория равновесных и неравновесных фазовых переходов
ОИЯИ = ОИЯИ (JINR)2026
Yukalov, V.I.
Self-Similar Summation of Virial Expansions / V.I.Yukalov, E.P.Yukalova. – Text : electronic // Molecular Physics. – 2026. – Vol. 124, No. 6. – P. e2563021. – URL: https://doi.org/10.1080/00268976.2025.2563021.
Virial expansions are the series in powers of density assumed to be small. However, the equations of state require considering finite densities for which virial expansions, as a rule, diverge. In order to extrapolate a virial expansion to the values where this expansion diverges, a novel approach for the summation of virial expansions is suggested, based on self-similar approximation theory. The method is regular and uniquely defined. It allows for the determination of physically motivated poles. The accuracy of self-similar approximants is not worse than that of the best Padé approximants with fitting parameters or of Monte Carlo simulations. The self-similar summation is based solely on virial expansions, involving no fitting parameters. In some cases, self-similar summation allows for reconstructing the sought functions exactly. The approach is illustrated by summing virial expansions for hard-disc fluids, hard-sphere fluids and systems with power-law potentials.
Спец.(статьи,препринты) = С 325.5 - Теория равновесных и неравновесных фазовых переходов
ОИЯИ = ОИЯИ (JINR)2026
