Andreev-Lifshitz supersolid hydrodynamics including the diffusive mode

Sears, Matthew R.; Saslow, Wayne M.

doi:10.1103/physrevb.82.134523

Cited by 4 publications

(4 citation statements)

References 33 publications

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“…1, which is diffusive. 42 Although the additional supersolid diffusive mode is similar to the normal solid diffusive mode found in the present work (e.g., zero net stress, and distinct mass and lattice motion), its mode structure differs significantly. The supersolid diffusive mode is characterized by three velocities: v ′ ni , v ′ si , andu ′ i , associated respectively with the normal mass, superfluid mass, and the lattice.…”

Section: Discussionsupporting

confidence: 74%

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Andreev-Lifshitz hydrodynamics applied to an ordinary solid under pressure

Sears

Saslow

2010

Phys. Rev. B

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We have applied the Andreev-Lifshitz hydrodynamic theory of supersolids to an ordinary solid. This theory includes an internal pressure P , distinct from the applied pressure Pa and the stress tensor λ ik . Under uniform static Pa, we have λ ik = (P −Pa)δ ik . For Pa = 0, Maxwell relations imply that P ∼ P 2 a . The theory also permits vacancy diffusion but treats vacancies as conserved. It gives three sets of propagating elastic modes; it also gives two diffusive modes, one largely of entropy density and one largely of vacancy density (or, more generally, defect density). For the vacancy diffusion mode (or, equivalently, the lattice diffusion mode) the vacancies behave like a fluid within the solid, with the deviations of internal pressure associated with density changes nearly canceling the deviations of stress associated with strain. We briefly consider pressurization experiments in solid 4 He at low temperatures in light of this lattice diffusion mode, which for small Pa has diffusion constant DL ∼ P 2 a . The general principles of the theory -that both volume and strain should be included as thermodynamic variables, with the result that both P and λ ik appear -should apply to all solids under pressure, especially near the solid-liquid transition. The lattice diffusion mode provides an additional degree of freedom that may permit surfaces with different surface treatments to generate different responses in the bulk.

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Section: Discussionsupporting

confidence: 74%

“…In a separate work 42 we discuss the normal modes of the full Andreev and Lifshitz theory for a supersolid, which has nine variables. As Ref.…”

Section: Discussionmentioning

confidence: 99%

Andreev-Lifshitz hydrodynamics applied to an ordinary solid under pressure

Sears

Saslow

2010

Phys. Rev. B

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“…Recently, stable regimes of LPA operation in energy and divergence have been demonstrated [17,18,20], and single-shot high resolution diagnostics of the emittance of GeV scale bunches are needed to demonstrate the emittance and stability required for applications. Emittance measurements of low energy ( 120 MeV) electron bunches produced in LPAs have been reported using the pepper-pot technique [21][22][23]. Although single-shot, these measurements had a limited resolution of ∼ 1 mm mrad and are difficult to apply to low divergence high energy beams.…”

mentioning

confidence: 99%

“…Adiabatic expansion of the bunch in the plasma downramp [22] is weak for these parameters due to a short ramp of only ∼ 3×λ β and strong depletion of the laser energy after propagating through the 3.3 cm plasma channel, which weakens the wake in the ramp. Space charge effects are also weak for the high energy beam.…”

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confidence: 99%

Low-Emittance Electron Bunches from a Laser-Plasma Accelerator Measured using Single-Shot X-Ray Spectroscopy

et al. 2012

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X-ray spectroscopy is used to obtain single-shot information on electron beam emittance in a low-energy-spread 0.5 GeV-class laser-plasma accelerator. Measurements of betatron radiation from 2 to 20 keV used a CCD and single-photon counting techniques. By matching x-ray spectra to betatron radiation models, the electron bunch radius inside the plasma is estimated to be ~0.1 μm. Combining this with simultaneous electron spectra, normalized transverse emittance is estimated to be as low as 0.1 mm mrad, consistent with three-dimensional particle-in-cell simulations. Correlations of the bunch radius with electron beam parameters are presented.

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