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Charge Carrier Effective Mass in Superfluid Helium: Snowball Model Study

Investigates the "Snowball" model for charge carriers in superfluid helium, discussing advantages, ion effective mass in normal liquids, and comparison with experimental results. Explores pressure and density distributions around ions in non-polar liquids. Examines the temperature dependence of effective mass using the cloud model.

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Charge Carrier Effective Mass in Superfluid Helium: Snowball Model Study

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  1. PISA, July, 16, 2007 The Effective Mass of Charged Carrier in a Nonpolar Liquid:“Snowball” in the Superfluid He4 Andrei Varlamov COHERENTIA INFM-CNR, Rome, Italy In collaboration with: Ioulia Chikina, CEA, Saclay, Gif-sur-Yvette, France Valerii Shikin, ISSP, Chernogolovka, Russia

  2. Outline • Charged transport in liquid helium • “Snowball” model for the charge carrier effective mass in superfluid liquid (advantages and non …) • Ion effective mass in normal liquids • Effective mass cloud model under the same conditions Stationary motion Oscillatory regime • Discussion and comparison with the experiment

  3. Charge carriers in liquid helium

  4. Pressure and liquid density distributionsaround the ion Non-polar liquid around point like charge a is thepolarisation of individual atom v is the volume of individual solvent atom s is the sound velosty

  5. P(r) Snowball effective mass Atkins K, 1959 (Phys Rev 116, 1339) r

  6. The reduced effective mass of the positive ion plotted against temperature CJ Mellor et all 1988, J Phys Solid State Phys 21, 325

  7. Effective mass in cloud model +

  8. Definition of

  9. Viscous part of associated mass

  10. Normal Stokes Radius Definition Continuity equation Stokes equation

  11. Normal stationary motion

  12. Oscillatory regime M wt 1

  13. Temperature dependence of the effective mass

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