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PISA, July, 16, 2007. The Effective Mass of Charged Carrier in a Nonpolar Liquid: “Snowball” in the Superfluid He 4. Andrei Varlamov COHERENTIA INFM-CNR, Rome, Italy. In collaboration with: Ioulia Chikina, CEA, Saclay, Gif-sur-Yvette, France Valerii Shikin, ISSP, Chernogolovka, Russia. - PowerPoint PPT Presentation
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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