Zobrazeno 1 - 10
of 586
pro vyhledávání: '"Moon, W. A."'
The survival probability for a periodic non-autonomous Ornstein-Uhlenbeck process is calculated analytically using two different methods. The first uses an asymptotic approach. We treat the associated Kolmogorov Backward Equation with an absorbing bo
Externí odkaz:
http://arxiv.org/abs/2406.03436
Autor:
Moon, W., Wettlaufer, J. S.
The Hadley circulation describes a planetary-scale tropical atmospheric flow, which has a major influence on climate. Contemporary theoretical understanding is based upon angular momentum conservation, the basic dynamical constraint governing the sta
Externí odkaz:
http://arxiv.org/abs/2405.02761
Motivated by wind blowing over water, we use asymptotic methods to study the evolution of short wavelength interfacial waves driven by the combined action of these flows. We solve the Rayleigh equation for the stability of the shear flow, and constru
Externí odkaz:
http://arxiv.org/abs/2211.02942
The Landauer principle sets a fundamental thermodynamic constraint on the minimum amount of heat that must be dissipated to erase one logical bit of information through a quasi-statically slow protocol. For finite time information erasure, the thermo
Externí odkaz:
http://arxiv.org/abs/2206.02064
Publikováno v:
Journal of Fluid Mechanics,944,A8(2021)
When wind blows over water, ripples are generated on the water surface. These ripples can be regarded as perturbations of the wind field, which is modelled as a parallel inviscid flow. For a given wavenumber $k$, the perturbed streamfunction of the w
Externí odkaz:
http://arxiv.org/abs/2107.06844
Publikováno v:
Physical Review E 104, 044130 (2021)
We generalize stochastic resonance to the nonadiabatic limit by treating the double-well potential using two quadratic potentials. We use a singular perturbation method to determine an approximate analytical solution for the probability density funct
Externí odkaz:
http://arxiv.org/abs/2104.03426
A non-autonomous stochastic dynamical model approach is developed to describe the seasonal to interannual variability of the El Ni\~no-Southern Oscillation (ENSO). We determine the model coefficients by systematic statistical estimations using partia
Externí odkaz:
http://arxiv.org/abs/2012.09858
Autor:
Cho, J. Y-K., Thrastarson, H. Th., Koskinen, T. T., Read, P. L., Tobias, S. M., Moon, W., Skinner, J. W.
We review the recent progress in understanding the jet structures on exoplanets as well as on and inside the Sun. The emphasis is on the more robust aspects of observation and numerical modeling that relate directly to jets. For the exoplanets, the p
Externí odkaz:
http://arxiv.org/abs/2010.09878
Publikováno v:
J. Stat. Phys. 181(6), 2404-2414 (2020)
We use asymptotic methods from the theory of differential equations to obtain an analytical expression for the survival probability of an Ornstein-Uhlenbeck process with a potential defined over a broad domain. We form a uniformly continuous analytic
Externí odkaz:
http://arxiv.org/abs/2006.13197
Publikováno v:
Journal of Physics A: Mathematical and Theoretical, vol. 53, 095001 (2020)
We analyze the fluctuation-driven escape of particles from a metastable state under the influence of a weak periodic force. We develop an asymptotic method to solve the appropriate Fokker-Planck equation with mixed natural and absorbing boundary cond
Externí odkaz:
http://arxiv.org/abs/1907.00170