The Effective Mass of Charged Carrier in a Nonpolar Liquid: “Snowball” in the Superfluid He 4

The Effective Mass of The Effective Mass of Charged Carrier in a Charged Carrier in a

Nonpolar Liquid:Nonpolar Liquid:“Snowball” in the “Snowball” in the

Superfluid HeSuperfluid He44

Andrei VarlamovAndrei Varlamov COHERENTIA INFM-CNR, Rome, ItalyCOHERENTIA INFM-CNR, Rome, Italy

In collaboration with: Ioulia Chikina, CEA, Saclay, Gif-sur-Yvette, FranceIoulia Chikina, CEA, Saclay, Gif-sur-Yvette, FranceValerii Shikin, ISSP, Chernogolovka, RussiaValerii Shikin, ISSP, Chernogolovka, Russia

PISA, July, 16, 2007

OutlineOutline Charged transport in liquid heliumCharged transport in liquid helium ““Snowball” model for the charge carrier effective Snowball” model for the charge carrier effective

mass in superfluid liquid (advantages and non …)mass in superfluid liquid (advantages and non …) Ion effective mass in normal liquidsIon effective mass in normal liquids Effective mass cloud model under the same Effective mass cloud model under the same

conditions conditions Stationary motion Stationary motion Oscillatory regimeOscillatory regime Discussion and comparison with the experimentDiscussion and comparison with the experiment

Charge carriers in liquid heliumCharge carriers in liquid helium

Pressure and liquid density distributionsPressure and liquid density distributions around the ionaround the ion

is the polarisation of individual atom

v is the volume of individual solvent atom

s is the sound velosty

Non-polar liquid around Non-polar liquid around

point like chargepoint like charge

Snowball effective massP(r)

r

Atkins K, 1959 (Phys Rev 116, 1339)

The reduced effective mass of the positive ion plotted against temperature

CJ Mellor et all 1988, J Phys Solid State Phys 21, 325

Effective mass in cloud modelEffective mass in cloud model

+

Definition of Definition of

Viscous part of associated massViscous part of associated mass

Normal Stokes Radius DefinitionNormal Stokes Radius DefinitionContinuity equation

Stokes equation

Normal stationary motionNormal stationary motion

Oscillatory regimeOscillatory regime

M

1

Temperature dependence of the Temperature dependence of the effective masseffective mass