Time development of coherent and superfluid properties in the course of a λ-transition

Levich, E.; Yakhot, Victor

doi:10.1088/0305-4470/11/11/011

Cited by 58 publications

(43 citation statements)

References 17 publications

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“…In both cases, we estimate the speed of BEC as being of order of the sound velocity (6). We can then estimate the time scale required for BEC to complete on physically interesting spatial scales.…”

Section: Discussionmentioning

confidence: 99%

Strong acoustic turbulence and the speed of Bose-Einstein condensation

Khlebnikov

2002

Phys. Rev. A

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The final stage of Bose-Einstein condensation in a large volume occurs through coarsening-growth of individual correlated patches. We present analytical arguments and numerical evidence that in the momentum space this growth corresponds to strong turbulence of the particle number, with a turbulent cascade towards the infrared and the power law n(k) ∝ k −(d+1) in d = 2, 3 spatial dimensions. As a corollary, we find that the correlation length grows linearly in time, with the speed of order of the speed of Bogoliubov's quasiparticles (phonons). We use these results to estimate the speed of BEC in atomic vapors and in galactic dark matter.

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Section: Discussionmentioning

confidence: 99%

Strong acoustic turbulence and the speed of Bose-Einstein condensation

Khlebnikov

2002

Phys. Rev. A

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“…[14,[16][17][18]27,28,31]). These studies are restricted to spherically symmetric distributions F. According to the numerical simulations in those papers, many solutions of (1.1)-(1.6) which are initially bounded develop a singularity in finite time at p = 0.…”

Section: Introductionmentioning

confidence: 99%

Finite time blow-up and condensation for the bosonic Nordheim equation

2014

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The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons. We show the existence of classical solutions of the homogeneous bosonic Nordheim equation that blow up in finite time. We also prove finite time condensation for a class of weak solutions of the kinetic equation.

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“…More general types of turbulence, so called wave turbulence have been studied [13,14], mainly in the framework of kinetic theory. Recent applications include far-from-equilibrium quantum systems, such as dilute ultracold Bose gases [15][16][17][18][19][20][21][22][23][24][25], the inflating and reheating early universe [26][27][28][29][30], and quark-gluon matter created in heavy-ion collisions [31][32][33][34][35][36][37]. Thereby, an extension of kinetic wave-turbulence by non-perturbative quantum-field-theory methods lead to the notion of a non-thermal fixed point [27,28,30,33], in analogy to fixed points describing equilibrium as well as dynamical critical phenomena [38].…”

Section: Introductionmentioning

confidence: 99%

Critical dynamics of a two-dimensional superfluid near a nonthermal fixed point

2012

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Critical dynamics of an ultracold Bose gas far from equilibrium is studied in two spatial dimensions. Superfluid turbulence is created by quenching the equilibrium state close to zero temperature. Instead of immediately re-thermalizing, the system approaches a meta-stable transient state, characterized as a non-thermal fixed point. A focus is set on the vortex density and vortex-antivortex correlations which characterize the evolution towards the non-thermal fixed point and the departure to final (quasi-)condensation. Two distinct power-law regimes in the vortex-density decay are found and discussed in terms of a vortex unbinding process and a kinetic description of vortex scattering. A possible relation to decaying turbulence in classical fluids is pointed out. By comparing the results to equilibrium studies of a two-dimensional Bose gas, an intuitive understanding of the location of the non-thermal fixed point in a reduced phase space is developed.

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Time development of coherent and superfluid properties in the course of a λ-transition

Cited by 58 publications

References 17 publications

Strong acoustic turbulence and the speed of Bose-Einstein condensation

Strong acoustic turbulence and the speed of Bose-Einstein condensation

Finite time blow-up and condensation for the bosonic Nordheim equation

Critical dynamics of a two-dimensional superfluid near a nonthermal fixed point

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