“…The approximate value E 1 ≈ −6.11 yields temperature T 1 ∼ 0.39/t 0 correcting the estimate T q0 ∼ 0.27/t 0 for the case τ = 0 in (17). As is seen from ( 21), the calculations of temperature T 1 for absolute instability of the classical path are in agreement with the estimates in ( 17)- (19). The temperature of the thermal-quantum crossover T q cannot be lower than T 1 .…”
Section: Concerning the Intermediate Case Of Relaxation Timesupporting
confidence: 82%
“…[1,2]. This approach of the effective Euclidean action was used for describing quantum decay of a metastable condensed medium near the binodal in order to incorporate the energy dissipation effect on the quantum kinetics of first-order phase transitions at low temperatures [18,19].…”
Section: Energy and Dispersion Spectrum Of Density Fluctuationsmentioning
We develop a theory in order to describe the effect of relaxation in a condensed medium upon the quantum decay of a metastable liquid near the spinodal at low temperatures. We find that both the regime and the rate of quantum nucleation strongly depend on the relaxation time and its temperature behavior. The quantum nucleation rate slows down with the decrease of the relaxation time. We also discuss the low temperature experiments on cavitation in normal 3 He and superfluid 4 He at negative pressures. It is the sharp distinctions in the high frequency sound mode and in the temperature behavior of the relaxation time that make the quantum cavitation kinetics in 3 He and 4 He completely different in kind.
“…The approximate value E 1 ≈ −6.11 yields temperature T 1 ∼ 0.39/t 0 correcting the estimate T q0 ∼ 0.27/t 0 for the case τ = 0 in (17). As is seen from ( 21), the calculations of temperature T 1 for absolute instability of the classical path are in agreement with the estimates in ( 17)- (19). The temperature of the thermal-quantum crossover T q cannot be lower than T 1 .…”
Section: Concerning the Intermediate Case Of Relaxation Timesupporting
confidence: 82%
“…[1,2]. This approach of the effective Euclidean action was used for describing quantum decay of a metastable condensed medium near the binodal in order to incorporate the energy dissipation effect on the quantum kinetics of first-order phase transitions at low temperatures [18,19].…”
Section: Energy and Dispersion Spectrum Of Density Fluctuationsmentioning
We develop a theory in order to describe the effect of relaxation in a condensed medium upon the quantum decay of a metastable liquid near the spinodal at low temperatures. We find that both the regime and the rate of quantum nucleation strongly depend on the relaxation time and its temperature behavior. The quantum nucleation rate slows down with the decrease of the relaxation time. We also discuss the low temperature experiments on cavitation in normal 3 He and superfluid 4 He at negative pressures. It is the sharp distinctions in the high frequency sound mode and in the temperature behavior of the relaxation time that make the quantum cavitation kinetics in 3 He and 4 He completely different in kind.
“…As the temperature approaches absolute zero temperature, the quantum fluctuations become predominant. To estimate the quantum nucleation rate, we employ the theory of quantum nucleation in the two-dimensional systems [21]. Within the exponential accuracy we estimate the zero-temperature nucleation rate as…”
Section: Thermal and Quantum Nucleation Rate On The Vortex The Crosso...mentioning
Supersaturated superfluid 3 He-4 He liquid mixture, separating into the 3 He-concentrated c-phase and 3 He-diluted d -phase, represents a unique possibility for studying macroscopic quantum nucleation and quantum phase-separation kinetics in binary mixtures at low temperatures down to absolute zero. One of possible heterogeneous mechanisms for the phase separation of supersaturated d -phase is associated with superfluidity of this phase and with a possible existence of quantized vortices playing a role of nucleation sites for the c-phase of liquid mixture. We analyze the growth dynamics of vortex core filled with the c-phase and determine the temperature behavior of c-phase nucleation rate and the crossover temperature between the classical and quantum nucleation mechanisms.
“…Second, the experiments are performed near the spinodal where the sound velocity is small and vanishes. In the latter case the kinetic energy of the growing bubble decreases and the crossover temperature T q increases [17,18]. This can be a reason why temperature T q equals 0.6 K in superfluid 4 He [7,15] instead of 200 mK as is predicted in [3].…”
Liquid helium under negative pressures represents a unique possibility for studying nucleation and growth dynamics of cavities at low temperatures down to absolute zero. We analyze the growth dynamics of cavities and determine the temperature behavior of quantum cavitation rate and the crossover temperature between the classical and quantum cavitation mechanisms. The energy dissipation processes, which differ in kind in normal fluid 3 He and superfluid 4 He, result in the different temperature behavior of cavitation rate in 3 He and 4 He below the thermal-quantum crossover temperature.
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