Variants based on the assumption of effective hydrodynamic radius being a constant are usually adopted to test the Stokes-Einstein(SE)relation.The rationality of the assumption is examined by performing molecular dyna...Variants based on the assumption of effective hydrodynamic radius being a constant are usually adopted to test the Stokes-Einstein(SE)relation.The rationality of the assumption is examined by performing molecular dynamics simulations with the truncated Lennard-Jones-like(TLJ)model,Kob-Andersen model and ortho-terphenyl(OTP)model.The results indicate the assumption is generally not established except for special case.The effective hydrodynamic radius is observed to increase with decreasing temperature for TLJ model but is decreased for Kob-Andersen and OTP model;and which is almost a constant for TLJ particle with enough rigidity.The variant of SE relation D~Th is invalid for the three models except for the TLJ particle with enough rigidity.We propose similar inconsistency may be also existed in other liquids and the assumption should be critically evaluated when adopted to test the SE relation.展开更多
The operator operations between the disturbing potential and the geoidal undulation,the gravity anomaly,the deflection of the vertical are defined based on the relations among the gravity potential,the normal gravity ...The operator operations between the disturbing potential and the geoidal undulation,the gravity anomaly,the deflection of the vertical are defined based on the relations among the gravity potential,the normal gravity potential and the disturbing potential.With the sphere as the boundary surface,based on the solution of the external boundary value problem for the disturbing potential by the spherical harmonics in the physical geodesy,the general inverse Stokes’formula,the general inverse Vening-Meinesz formula and the general Molodensky’s formula are derived from the operator operations defined.The general formulae can get rid of the restriction of the classical formulae only used on the geoid.If the boundary surface is defined as the geoid,the general formulas are degen-erated into the classic ones.展开更多
基金supported by the National Natural Science Foundation of China(No.12104502)the Science Foundation of Civil Aviation Flight University of China(No.J2021-054)
文摘Variants based on the assumption of effective hydrodynamic radius being a constant are usually adopted to test the Stokes-Einstein(SE)relation.The rationality of the assumption is examined by performing molecular dynamics simulations with the truncated Lennard-Jones-like(TLJ)model,Kob-Andersen model and ortho-terphenyl(OTP)model.The results indicate the assumption is generally not established except for special case.The effective hydrodynamic radius is observed to increase with decreasing temperature for TLJ model but is decreased for Kob-Andersen and OTP model;and which is almost a constant for TLJ particle with enough rigidity.The variant of SE relation D~Th is invalid for the three models except for the TLJ particle with enough rigidity.We propose similar inconsistency may be also existed in other liquids and the assumption should be critically evaluated when adopted to test the SE relation.
基金supported by the National Natural Science Foundation of China(Grant No.40374007).
文摘The operator operations between the disturbing potential and the geoidal undulation,the gravity anomaly,the deflection of the vertical are defined based on the relations among the gravity potential,the normal gravity potential and the disturbing potential.With the sphere as the boundary surface,based on the solution of the external boundary value problem for the disturbing potential by the spherical harmonics in the physical geodesy,the general inverse Stokes’formula,the general inverse Vening-Meinesz formula and the general Molodensky’s formula are derived from the operator operations defined.The general formulae can get rid of the restriction of the classical formulae only used on the geoid.If the boundary surface is defined as the geoid,the general formulas are degen-erated into the classic ones.
