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Physical Sciences and Mathematics Commons

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Dartmouth College

2009

Classical and quantum mechanics

Articles 1 - 3 of 3

Full-Text Articles in Physical Sciences and Mathematics

General Theory Of Oscillon Dynamics, Marcelo Gleiser, David Sicilia Dec 2009

General Theory Of Oscillon Dynamics, Marcelo Gleiser, David Sicilia

Dartmouth Scholarship

We present a comprehensive, nonperturbative analytical method to investigate the dynamics of time-dependent oscillating scalar field configurations. The method is applied to oscillons in a φ4 Klein-Gordon model in two and three spatial dimensions, yielding high accuracy results in the characterization of all aspects of the complex oscillon dynamics. In particular, we show how oscillons can be interpreted as long-lived perturbations about an attractor in field configuration space. By investigating their radiation rate as they approach the attractor, we obtain an accurate estimate of their lifetimes in d = 3 and explain why they seem to be perturbatively stable …


On The Use Of The Proximity Force Approximation For Deriving Limits To Short-Range Gravitational-Like Interactions From Sphere-Plane Casimir Force Experiments, Diego A. R. Dalvit, Roberto Onofrio Sep 2009

On The Use Of The Proximity Force Approximation For Deriving Limits To Short-Range Gravitational-Like Interactions From Sphere-Plane Casimir Force Experiments, Diego A. R. Dalvit, Roberto Onofrio

Dartmouth Scholarship

We discuss the role of the proximity force approximation in deriving limits to the existence of Yukawian forces—predicted in the submillimeter range by many unification models—from Casimir force experiments using the sphere-plane geometry. Two forms of this approximation are discussed, the first used in most analyses of the residuals from the Casimir force experiments performed so far, and the second recently discussed in this context in R. Decca et al. [Phys. Rev. D 79, 124021 (2009)]. We show that the former form of the proximity force approximation overestimates the expected Yukawa force and that the relative deviation …


Hydrodynamic Relaxation Of An Electron Plasma To A Near-Maximum Entropy State, D. J. Rodgers, S. Servidio, W. H. Matthaeus, D. C. Montgomery, T. B. Mitchell, T. Aziz Jun 2009

Hydrodynamic Relaxation Of An Electron Plasma To A Near-Maximum Entropy State, D. J. Rodgers, S. Servidio, W. H. Matthaeus, D. C. Montgomery, T. B. Mitchell, T. Aziz

Dartmouth Scholarship

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 relaxation in a turbulent regime is governed by principles of maximum entropy.