Isoperimetry and heat kernel decay on percolation clusters
The Annals of Probability, 2003 We prove that the heat kernel on the infinite Bernoulli percolation cluster in Z^d almost surely decays faster than t^{-d/2}. We also derive estimates on the mixing time for the random walk confined to a finite box.
Mathieu, Pierre, Remy, Elisabeth
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Heat Kernels, Smoothness Estimates, and Exponential Decay [PDF]
Journal of Fourier Analysis and Applications, 2012 25 ...
Boggess, Albert, Raich, Andrew
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Sharp two-sided heat kernel estimates of twisted tubes and applications [PDF]
, 2014 We prove on-diagonal bounds for the heat kernel of the Dirichlet Laplacian $-\Delta^D_\Omega$ in locally twisted three-dimensional tubes $\Omega$. In particular, we show that for any fixed $x$ the heat kernel decays for large times as $\mathrm{e}^{-E_1t}\
Grillo, Gabriele +2 more
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Heat removal system for shutdown in nuclear thermal rockets and advanced concepts [PDF]
, 2017 © 2016 by the American Institute of Aeronautics and Astronautics, Inc.It is well-known that a nuclear thermal rocket (NTR) cannot be abruptly shut down. After a power manoeuver, the reactor has contaminated itself with fission products and the decay heat
Arias Montenegro, Francisco Javier +1 more
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A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term [PDF]
Acta Mathematica Scientia, 2019 We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.
Youkana, Abderrahmane +2 more
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Decaying particles do not ‘‘heat up’’ the Universe [PDF]
Physical Review D, 1985 It is usually assumed that a massive relic species, which comes to dominate the mass density of the Universe and later decays, ``heats up'' the Universe when the age of the Universe \ensuremath{\simeq} its lifetime. We show that if its decay follows the usual exponential decay law, then the Universe is never reheated, rather it just cools more slowly ...
, Scherrer, , Turner
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Power-Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard Convection [PDF]
, 2001 The origin of the power-law decay measured in the power spectra of low Prandtl number Rayleigh-Benard convection near the onset of chaos is addressed using long time numerical simulations of the three-dimensional Boussinesq equations in cylindrical ...
A. Libchaber +20 more
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Heating and Deceleration of GRB Fireballs by Neutron Decay [PDF]
AIP Conference Proceedings, 2004 Fireballs with high energy per baryon rest mass (> 400) contain a relatively slow neutron component. We show here that in this situation the thermal history of fireballs is very different from the standard adiabatic cooling.
Rossi, Elena M. +2 more
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Superconducting energy gap in MgCNi3 single crystals: Point-contact spectroscopy and specific-heat measurements [PDF]
, 2011 Specific heat has been measured down to 600 mK and up to 8 Tesla by the highly sensitive AC microcalorimetry on the MgCNi3 single crystals with Tc ~ 7 K.
Demuer, A. +11 more
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Heating of the Intergalactic Medium by the Radiative Decay of Neutrinos [PDF]
The Astrophysical Journal, 2007 15 pages, 4 ...
Chan, M. H., Chu, M. -C.
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