COMPLEX SINGULARITIES OF FLUID VELOCITY AUTOCORRELATION FUNCTION

N. M. Chtchelkatchev, R. E. Ryltsev

Результат исследований: Вклад в журналСтатьяНаучно-исследовательскаярецензирование

Аннотация

There are intensive debates regarding the nature of supercritical fluids: if their evolution from liquid-like to gas-like behavior is a continuous multistage process or there is a sharp well defined crossover. Velocity autocorrelation function Z is the established detector of evolution of fluid particles dynamics. Usually, complex singularities of correlation functions give more information. So we investigate Z in complex plane of frequencies using numerical analytical continuation. We have found that naive picture with few isolated poles fails describing Z(ω) of one-component Lennard-Jones (LJ) fluid. Instead we see the singularity manifold forming branch cuts extending approximately parallel to the real frequency axis. That suggests LJ velocity autocorrelation function is a multiple-valued function of complex frequency. The branch cuts are separated from the real axis by the well-defined “gap” whose width corresponds to an important time scale of a fluid characterizing crossover of system dynamics from kinetic to hydrodynamic regime. Our working hypothesis is that the branch cut origin is related to competition between one-particle dynamics and hydrodynamics. The observed analytical structure of Z is very stable under changes of temperature; it survives at temperatures which are by the two orders of magnitude higher than the critical one.
Язык оригиналаАнглийский
Страницы (с-по)732-738
Число страниц7
ЖурналПисьма в Журнал экспериментальной и теоретической физики
Том102
Номер выпуска9-10
СостояниеОпубликовано - 2015

Отпечаток

autocorrelation
fluids
crossovers
hydrodynamics
supercritical fluids
poles
temperature
detectors
kinetics
liquids
gases

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Уровень публикации

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COMPLEX SINGULARITIES OF FLUID VELOCITY AUTOCORRELATION FUNCTION. / Chtchelkatchev, N. M.; Ryltsev, R. E.

В: Письма в Журнал экспериментальной и теоретической физики, Том 102, № 9-10, 2015, стр. 732-738.

Результат исследований: Вклад в журналСтатьяНаучно-исследовательскаярецензирование

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