Equipartition of Energy in Geometric Scattering Theory
نویسنده
چکیده
In this note, we use an elementary argument to show that the existence and unitarity of radiation fields implies asymptotic partition of energy for the corresponding wave equation. This argument establishes the equipartition of energy for the wave equation on scattering manifolds, asymptotically hyperbolic manifolds, asymptotically complex hyperbolic manifolds, and the Schwarzschild spacetime. It also establishes equipartition of energy for the energy-critical semilinear wave equation on R3.
منابع مشابه
Lossy Asymptotic Equipartition Property For Geometric Networked Data Structures
Abstract. This article extends the Generalized Asypmtotic Equipartition Property of Networked Data Structures to cover the Wireless Sensor Network modelled as coloured geometric random graph (CGRG). The main techniques used to prove this result remains large deviation principles for properly defined empirical measures on coloured geometric random graphs. Application of the result to some case s...
متن کاملCharacterization of low, medium and high energy collimators for common isotopes in nuclear medicine: A Monte Carlo study
Introduction:In an ideal parallel-hole collimator, thickness of septal material should be sufficient to stop more than 95% of incident photons. However, some photons pass the septa without interaction or experience scattering before they reach the detector. In this study, we determined different contribution of collimator responses consist of geometrical response, septal penetr...
متن کاملSimplified Inelastic Acoustic-Phonon Hole Scattering Model for Silicon
A simplified model for inelastic acoustic phonon scattering of holes in silicon is developed. It consists in approximating both the acoustic phonon energy and the square of the phonon wave vector by lattice-temperature dependent constants. The resulting scattering rate depends only on energy and thus facilitates the search of after-scattering-states during full-band Monte Carlo simulation. The ...
متن کاملInvestigating the Energy Efficiency of TEX High Energy Derivatives with Different Carbon Fuller Nano Structures under Different Temperature Conditions by DFT Method
In this study, high energy energy derivatives of TEX with different carbon-containing fullerenes at different temperature conditions were studied using density functional theory. For this purpose, the materials were first geometric optimized, then the thermodynamic parameters were calculated for all of them. Then, the process of changing the energy-dependent parameters such as specific heat cap...
متن کاملOn the equipartition of kinetic energy in an ideal gas mixture
A refinement of an argument due to Maxwell for the equipartition of kinetic energy in a mixture of ideal gases with different masses is proposed. The argument is elementary, yet it may work as an illustration of the role of symmetry and independence postulates in kinetic theory. PACS numbers: 05.20.Dd Submitted to: Eur. J. Phys. Equipartition in gas mixtures 2
متن کامل