17 research outputs found
Semiclassical description of resonant tunneling
We derive a semiclassical formula for the tunneling current of electrons
trapped in a potential well which can tunnel into and across a wide quantum
well. The calculations idealize an experimental situation where a strong
magnetic field tilted with respect to an electric field is used. The resulting
semiclassical expression is written as the sum over special periodic orbits
which hit both walls of the quantum well and are perpendicular to the first
wall.Comment: LaTeX, 8 page
The green Sahara: Climate change, hydrologic history and human occupation)
International audienc
Climate Change and Human Occupation of the Sahara
The Sahara was void of settlement throughout the Last Glacial Maximum (LGM) and terminal Pleistocene (Kuper and Kreopelin, 2006). During early Holocene abrupt arrival of monsoon rains ~10,500 yrs BP produced a savanna allowing Human occupation. Between ~9.5 and ~7 kyrs BP was the wettest phase of the last 25,000 years across much of the Levant and Eastern Mediterranean (Robinson et. al., 2006). Kuper and Kreopelin, (2006) show timing of human occupation via archaeological data from Egypt, Sudan, Libya and Chad, with maximum human habitation in the Sahara North of 25 degrees at ~ 7.7 kyrs BP. Details of temporal variations in the Sun, and influence of these variations on the Earth's climate, remain contentious. None-the-less, analyses of paleoclimatic data and modeling (c.f. Braconnot et. al., 2007a, 2007b, 2008) indicate notable effects on human activities. We explore relationship of human occupation of the Sahara and long-term solar irradiance variations synergetic with atmospheric-ocean circulation patterns. The non-linear nature of climate change diminishes value of linear regression methods often used. To address these issues of non-stationary and non-linearity we applied wavelet decomposition and a new method, Empirical Mode Decomposition (EMD, Huang et al., 1998), designed account for non-linear/non-stationary features of the signals. EMD represents the data as a sum of a small number of orthogonal empirical modes that have time- variable amplitudes and frequencies. A mode has a symmetric envelope defined by the local maxima and minima so mean amplitude is zero everywhere. Mean period is determined by counting the number of peaks (maxima). Each mode is equivalent to an adaptively filtered signal in empirically determined (not imposed) frequency range. The last mode characterizes a nonlinear trend in the signal. The orthogonality of EMD modes prevents power leakage into a selected mode from other modes, an improvement over other types of filtering. We employ records taken over the globe (e.g. Greenland, Cariaco Basin, and African Ocean cores) to identify timing and spatial patterns affecting Saharan climate. Space based images provide a geographically comprehensive geomorphic overview (Farr, et. al., 2008). Such coverage is becoming available from the Japanese ALOS PALSAR radar system (Paillou, et. al., 2007, 2008), which can guide fieldwork to collect archaeological and climatic data to further constrain climate change and models