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Superfluid phase transition with activated velocity fluctuations: Renormalization group approach
Michal Dančo1,2, Michal Hnatič1,2,3, Marina V Komarova4
1Institute of Experimental Physics, SAS, Košice, Slovakia.
Physical Review. E
|February 13, 2016
Summary
This study proposes a quantum field model for Bose-condensed systems near superfluid transition, revealing that turbulence destroys critical fluctuations and alters exponents. Further analysis is needed for fixed-point stability.
Area of Science:
- Quantum Field Theory
- Statistical Mechanics
- Condensed Matter Physics
Background:
- Bose-condensed systems exhibit critical dynamics near superfluid phase transitions.
- Understanding velocity fluctuations is crucial for modeling these systems.
- Existing models like model F do not fully capture turbulent effects.
Purpose of the Study:
- To propose a generalized quantum field model incorporating velocity fluctuations.
- To analyze the equilibrium fluctuation regime using renormalization group methods.
- To investigate the impact of turbulence on critical phenomena.
Main Methods:
- Stochastic Navier-Stokes equation for velocity fluctuations.
- Martin-Siggia-Rose formalism and path integral for field-theoretic action.
- Perturbative renormalization group with a double (ε,δ)-expansion scheme.
Main Results:
- One-loop calculations are insufficient for determining fixed-point stability.
- Turbulence significantly alters critical exponents.
- Critical fluctuations are destroyed by developed turbulence.
- Calculated scaling exponent of effective viscosity matches the expected 4/3.
Conclusions:
- The proposed model generalizes existing critical dynamics frameworks.
- Turbulence plays a dominant role, masking critical fluctuations and modifying scaling behavior.
- Further theoretical work is required to fully understand fixed-point stability in this turbulent regime.
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