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Effect of fluctuating inertial forces on the critical dynamics of a pure fluid
Author(s) -
Ferrel Richard A.
Publication year - 1993
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19935050104
Subject(s) - physics , critical point (mathematics) , inertial frame of reference , spectral density , dynamics (music) , brownian motion , mechanics , relaxation (psychology) , classical mechanics , fictitious force , acceleration , quantum mechanics , psychology , mathematical analysis , social psychology , statistics , mathematics , acoustics
A calculation is carried out of the effect of imposed inertial forces on the critical dynamics of a pure fluid near the liquid‐vapor critical point. The mechanism for the relaxation of the critical fluctuations of the order parameter is the Brownian motion in the long wavelength hydrodynamic shear modes. The additional fluctuating inertial forces add noise to these modes, leading to an increase in γ q , the order parameter relaxation rate for a fluctuation of wave number q . A general formula is derived for Δ γ q / γ q , the fractional increase in relaxation rate, in terms of the acceleration power spectral density. The predicted strong dependences on temperature, angle, and q provide crucial tests for the theory.