Thermally assisted quantum cavitation in solutions of
                    <sup>3</sup>
                    He in
                    <sup>4</sup>
                    He

Jezek, D. M.; Guilleumas, M.; Pí, M.; Barranco, M.

doi:10.1209/epl/i1997-00290-6

Cited by 4 publications

(4 citation statements)

References 16 publications

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“…In particular, the stability limits of the liquid phase with respect to the gas phase at negative pressure have been studied experimentally and theoretically (see for instance the review articles [1,2,3]). There is still a debate regarding the value of the pressure at which homogeneous cavitation occurs in liquid helium-4 at about 1 K. Indeed, Caupin et al have developed an indirect method to measure the cavitation pressure of liquid helium-4 and found it to be between −8 bar and −10 bar at 1 K [4], which is compatible with the spinodale limit P spin (1 K) ∼ −9 bar [5,6]. This experiment was reproduced by Qu et al which arrived to the same result [7].…”

Section: Introductionmentioning

confidence: 82%

Optical measurement of the equation of state of bulk liquid helium-4 around 1 K

Djadaojee

Grucker

2021

Phys. Rev. B

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Using a stimulated Brillouin gain spectroscopy technique, we have measured the equation of state of bulk liquid helium-4 at ∼ 1 K between 0 and 10 bars. Our results are in very good agreement with previous measurements and with theoretical equations of states. However our specific method allows for the first time to determine it on space / time scales as narrow as 35 µm / 190 ns. This technique is of particular interest for solving a remaining debate about the value of the homogeneous cavitation pressure of liquid 4 He at T ∼ 1 K.

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Section: Introductionmentioning

confidence: 82%

Optical measurement of the equation of state of bulk liquid helium-4 around 1 K

Djadaojee

Grucker

2021

Phys. Rev. B

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“…The experimental study of cavitation in undersaturated 3 He- 4 He mixtures might then uncover a structure much richer than that theoretically described in Ref. 6, since…”

Section: Martí Pi and Manuel Barrancomentioning

confidence: 83%

Quantum cavitation in liquid3He: Dissipation effects

1999

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We have investigated the effect that dissipation may have on the cavitation process in normal liquid 3 He. Our results indicate that a rather small dissipation decreases sizeably the quantum-to-thermal crossover temperature T* for cavitation in normal liquid 3 He. This is a possible explanation of why recent experiments have not yet found clear evidence of quantum cavitation at temperatures below the T* predicted by calculations which neglect dissipation. ͓S0163-1829͑99͒00429-4͔Quantum cavitation in superfluid liquid 4 He has been unambiguously observed using ultrasound experimental techniques. 1,2 These experiments have shown that quantum cavitation takes over thermal cavitation at a temperature ͑T͒ around 200 mK, in good agreement with theoretical calculations, 3,4 so that the problem of cavitation in liquid 4 He can be considered as satisfactorily settled.The crossover temperature corresponding to 3 He has also been calculated, 3,4 predicting that T*ϳ120 mK. It turns out that preliminary results obtained in a recent experiment 5 have not shown clear evidence of quantum cavitation for temperatures even below that value. However, the phenomenon has been firmly established as a stochastic process. A possible explanation is that thermal cavitation is still the dominant process down to temperatures lower than predicted.The method of Ref. 4 ͑see also Ref. 6͒ is based, on the one hand, in using a density functional that reproduces the thermodynamical properties of liquid 3 He at zero temperature ͑equation of state, effective mass, etc.͒, as well as the properties of the 3 He free surface. A major advantage of using a density functional is that one can handle bubbles in the vicinity of the spinodal region, where they are not empty objects 3,4 and any attempt to describe the critical bubble in terms of a sharp surface radius fails. 7 On the other hand, we have used a functional-integral approach especially well suited to find T*. This gives us some confidence on the values obtained for the crossover temperature, and inclines us to think that any appreciable discrepancy between theory and experiment has to be attributed not to the method itself, but to some physical ingredient which has been overlooked in the formalism. One such ingredient in the case of liquid 3 He is dissipation, which is known 8 to decrease T*. Since 4 He is superfluid below the lambda temperature, we are actually treating both quantum fluids within the same framework, the behavior of 4 He being accounted for by the dissipationless version of the general formalism.Our starting point is the real time Lagrangian density L( ,s):where (r,t) denotes the particle density, m the 3 He atomic mass, and s(r,t) is the velocity potential, i.e., the collective velocity is u(r,t)ϭٌs(r,t). The Hamiltonian density H( ,s) readswhere ( ) is the grand potential density of the system and m is the density of the metastable homogeneous liquid. We refer the reader to Ref. 4 and references therein for details.To describe the dynamics in the dissipative regime while still b...

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“…The experimental study of cavitation in undersaturated 3 He-4 He mixtures might then uncover a structure much richer than that theoretically described in Ref. 6, since 4 He is still superfluid and 3 He is in the normal phase. This would open the possibility of studying the influence of dissipation in the cavitation process varying the 3 He concentration.…”

mentioning

confidence: 81%

“…4 (see also Ref. 6) is based, on the one hand, in using a density functional that reproduces the thermodynamical properties of liquid 3 He at zero temperature (equation of state, effective mass, etc), as well as the properties of the 3 He free surface. A major advantage of using a density functional is that one can handle bubbles in the vicinity of the spinodal region, where they are not empty objects 3,4 and any attempt to describe the critical bubble in terms of a sharp surface radius fails 7 .…”

mentioning

confidence: 99%