T. B. Mitchell
University of Delaware
Ion trapNISTMagnetic fieldAnalytical chemistryPhysicsVortexPenning trapIonElectronAtomic physicsChemistryMaterials sciencePositronNon-neutral plasmasBragg's lawLaserMechanicsElectric fieldClassical mechanicsRotationPlasmaLaser cooling
80Publications
16H-index
771Citations
Publications 75
Newest
#1D. J. RodgersH-Index: 2
Last. David Montgomery (Dartmouth College)H-Index: 31
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A similarity decay law is proposed for enstrophy of a one-signed-vorticity fluid in a circular free-slip domain. It excludes the metastable equilibrium enstrophy which cannot drive turbulence, and approaches Batchelor's t{sup -2} law for strong turbulence. Measurements of the decay of a turbulent electron fluid agree well with the predictions of the decay law for a variety of initial conditions.
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#1T. AzizH-Index: 1
#2Minping WanH-Index: 36
Last. William H. MatthaeusH-Index: 99
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#1D. J. Rodgers (UD: University of Delaware)H-Index: 2
#2Sergio ServidioH-Index: 40
Last. T. AzizH-Index: 1
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Dynamical relaxation of a pure electron plasma in a Malmberg-Penning trap is studied, comparing experiments, numerical simulations and statistical theories of weakly dissipative two-dimensional (2D) turbulence. Simulations confirm that the dynamics are approximated well by a 2D hydrodynamic model. Statistical analysis favors a theoretical picture of relaxation to a near-maximum entropy state with constrained energy, circulation, and angular momentum. This provides evidence that 2D electron fluid...
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This paper introduces a new method for approximating the Biot-Savart integral for elliptical Gaussian functions using high-order interpolation and compares it to an existing method based on small aspect ratio asymptotics. The new evaluation technique uses polynomials to approximate the kernel corresponding to the integral representation of the streamfunction. We determine the polynomial coefficients by interpolating precomputed values from look-up tables over a wide range of aspect ratios. When ...
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Last. T. AzizH-Index: 1
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A Kirchhoff elliptic vortex is a two-dimensional elliptical region of uniform vorticity embedded in an inviscid, incompressible, and irrotational fluid. By using analytic theory and contour dynamics simulations, we describe the evolution of perturbed Kirchhoff vortices by decomposing solutions into constituent linear eigenmodes. With small amplitude perturbations, we find excellent agreement between the short time dynamics and the predictions of linear analytic theory. Elliptical vortices must h...
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#1Nathan Mattor (UD: University of Delaware)H-Index: 1
#2B.T. ChangH-Index: 1
Last. T. B. MitchellH-Index: 16
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A theory is presented of beat-wave resonant down scattering of two-dimensional diocotron (or Kelvin) modes, in which modes down scatter to lower azimuthal mode number. The phenomenon is a fluid analogue to nonlinear Landau damping. The principal new result is a quantitative prediction of the scattering rate. The predicted rates and scalings are close to those observed in experiments with magnetized electron columns.
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