Diffusion mechanism in the quantum decay of metastable3He-4He mixtures at low temperatures

Burmistrov, S. N.; Dubovskii, L. B.; Tsymbalenko, V. L.

doi:10.1007/bf00681888

Cited by 30 publications

(12 citation statements)

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“…Provided we expect a reasonable observation time of destructing the faceted state due to thermal activation mechanism, we should provide a ratio U 0 /T of about a few tens. 21,22 This means that the electric field E should exceed the critical one E c by a factor of about 300. The same factor certainly refers to the surface density of charges.…”

Section: Hamiltonian the Onset Of Instability At The Crystal Facetmentioning

confidence: 99%

“…This path starts at the entrance point under the potential barrier and ends at the point at which the optimum fluctuation escapes from the barrier. 21,22 In other words, quantum fluctuation penetrates through the potential barrier along the path of least resistance. Before calculating the quantum rate at which the crystal facet breaks up, we must go over to the effective Euclidean action defined in imaginary time t → it.…”

Section: S = Dt L Eff [ζ (T R)ζ (T R)]mentioning

confidence: 99%

“…On the whole, the charge-induced reconstructuring of the faceted crystal surface resembles many first-order phase transitions and macroscopic quantum nucleation phenomena in the helium systems. [19][20][21][22][23] For simplicity, we keep in mind the basal plane of hexagonal 4 He crystal as an example of the crystal facet and neglect any anisotropy in the plane. We also suppose that the temperature is below the roughening transition temperature and the crystal surface is well defined and faceted.…”

Section: Introductionmentioning

confidence: 99%

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Charge-induced instability and macroscopic quantum nucleation phenomena at a crystalline4He facet

Burmistrov

2012

Phys. Rev. B

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The existence of a charge-induced instability is well known for the 4 He crystal surface in the rough state. Much less is known about the charge-induced instability at the 4 He crystal surface in the smooth well-faceted state below the roughening transition temperature. To meet the lack, we examine here the latter case. As long as the electric field normal to the crystal facet is below the critical value the same as for the rough surface, the crystal faceting remains absolutely stable. Above the critical field, unlike the absolutely unstable state of the rough surface, the crystal facet crosses over to the metastable state separated from the crushed state with a potential barrier proportional to the square of the linear facet step energy. The onset and development of the instability at the charged crystal facet has much in common with the nucleation kinetics of first-order phase transitions. Depending on the temperature, the electric breaking strength is determined either by thermal activation at high temperatures or by quantum tunneling at sufficiently low temperatures.

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Section: Hamiltonian the Onset Of Instability At The Crystal Facetmentioning

confidence: 99%

Section: S = Dt L Eff [ζ (T R)ζ (T R)]mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Charge-induced instability and macroscopic quantum nucleation phenomena at a crystalline4He facet

Burmistrov

2012

Phys. Rev. B

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“…In this paper we propose another paradigm for observation of tunneling driven phase transition effects in cold atom systems based on the theory of quantum nucleation [3,4,5]. It has long been known that a mixture of 3 He- 4 He undergoes a phase separation transition at relative concentration of 3 He in 4 He of around 6% at temperatures close to the absolute zero [6].…”

Section: Introductionmentioning

confidence: 99%

Quantum nucleation and macroscopic quantum tunneling in cold-atom boson-fermion mixtures

Solenov

2008

Phys. Rev. A

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Kinetics of phase separation transition in boson-fermion cold atom mixtures is investigated. We identify the parameters at which the transition is governed by quantum nucleation mechanism, responsible for the formation of critical nuclei of a stable phase. We demonstrate that for low fermion-boson mass ratio the density dependence of quantum nucleation transition rate is experimentally observable. The crossover to macroscopic quantum tunneling regime is analyzed. Based on a microscopic description of interacting cold atom boson-fermion mixtures we derive an effective action for the critical droplet and obtain an asymptotic expression for the nucleation rate in the vicinity of the phase transition and near the spinodal instability of the mixed phase. We show that dissipation due to excitations in fermion subsystem play a dominant role close to the transition point.

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“…Some effort has been concentrated in the study of supersaturated 3 He-4 He mixtures at positive pressures and low temperatures (see for example Refs. [5][6][7][8]), or near the tricritical point (see Ref. [9] and refs.…”

mentioning

confidence: 99%

Thermally assisted quantum cavitation in solutions of ³ He in ⁴ He

et al. 1997

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Diffusion mechanism in the quantum decay of metastable3He-4He mixtures at low temperatures

Cited by 30 publications

References 9 publications

Charge-induced instability and macroscopic quantum nucleation phenomena at a crystalline4He facet

Charge-induced instability and macroscopic quantum nucleation phenomena at a crystalline4He facet

Quantum nucleation and macroscopic quantum tunneling in cold-atom boson-fermion mixtures

Thermally assisted quantum cavitation in solutions of ³ He in ⁴ He

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Diffusion mechanism in the quantum decay of metastable3He-4He mixtures at low temperatures

Cited by 30 publications

References 9 publications

Charge-induced instability and macroscopic quantum nucleation phenomena at a crystalline4He facet

Charge-induced instability and macroscopic quantum nucleation phenomena at a crystalline4He facet

Quantum nucleation and macroscopic quantum tunneling in cold-atom boson-fermion mixtures

Thermally assisted quantum cavitation in solutions of 3 He in 4 He

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Product

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Thermally assisted quantum cavitation in solutions of ³ He in ⁴ He