22,748 research outputs found
The Spherically Symmetric Gravitational Collapse of a Clump of Solids in a Gas
Several mechanisms have been identified that create dense particle clumps in
the solar nebula. The present work is concerned with the gravitational collapse
of such clumps, idealized as being spherically symmetric. Calculations using
the two-fluid model are performed (almost) up to the time when a central
density singularity forms. The end result of the study is a parametrization for
this time, in order that it may be compared with timescales for various
disruptive effects to which clumps may be subject. An important effect is that
as the clump compresses, it also compresses the gas due to drag. This increases
gas pressure which retards particle collapse and leads to oscillation in the
size and density of the clump. The ratio of gravitational force to gas pressure
gives a two-phase Jeans parameter, , which is the classical Jeans
parameter with the sound speed replaced by an the wave speed in a coupled
two-fluid medium. Its use makes the results insensitive to the initial density
ratio of particles to gas as a separate parameter. An ordinary differential
equation model is developed which takes the form of two coupled non-linear
oscillators and reproduces key features of the simulations. Finally, a
parametric study of the time to collapse is performed and a formula (fit to the
simulations) is developed. In the incompressible limit , collapse
time equals sedimentation time. As increases, the collapse time decreases
roughly linearly with until when it becomes
approximately equal to the dynamical time
The Runaway Greenhouse: A History of Water on Venus
Radiative-convective equilibrium models of planetary atmospheres are discussed for the case when the infrared opacity is due to a vapor in equilibrium with its liquid or solid phase. For a grey gas, or for a gas which absorbs at all infrared wavelengths, equilibrium is impossible when the solar constant exceeds a critical value. Equilibrium therefore requires that the condensed phase evaporates into the atmosphere.
Moist adiabatic and pseudoadiabatic atmospheres in which the condensing vapor is a major atmospheric constituent are considered. This situation would apply if the solar constant were supercritical with respect to an abundant substance such as water. It is shown that the condensing gas would be a major constituent at all levels in such an atmosphere. Photodissociation of water in the primordial Venus atmosphere is discussed in this context
Detached from their homeland: the Latter-day Saints of Chihuahua, Mexico
Over the past few decades, the homeland concept has received an ever-increasing amount of attention by cultural geographers. While the debate surrounding the necessity and applicability of the concept continues, it is more than apparent that no other geographic term (including culture areas or culture regions) captures the essence of peoples’ attachment to place better than homeland. The literature, however, provides few examples of the deep-seated loyalty people have for a homeland despite being physically detached from that space. Employing land use mapping and informal interviews, this paper seeks to help fill that gap by exemplifying how the daily lives of Mormons living in Chihuahua, Mexico reflect their connection to the United States and the Mormon Homeland. Our research revealed that, among other things, the Anglo residents perpetuate their cultural identity through their unique self-reference, exhibit territoriality links reflected in their built environment, and demonstrate unconditional bonding to their homeland through certain holiday celebrations. It is clear to us, as the Anglo-Mormon experience illustrates, that the homeland concept deserves a place within the geographic lexicon
Arresting Children: Examining Recent Trends in Preteen Crime
Are juvenile offenders getting younger? The American public often hears policymakers and justice practitioners assert that young people are committing crimes at younger and younger ages. Is this true? This analysis explores this question by examining data collected by law enforcement agencies across the country. It tracks juvenile crime patterns from 1980 through 2006 and finds that the age profile of juvenile offenders has not changed substantially in 25 years. Crime rates among children under age 13 have generally followed the same crime patterns exhibited among older youth. In a few offense categories, however, increases in preteen crime have outpaced increases among older juveniles, particularly sexual offenses, assaults, and weapons possession (not necessarily firearms). The fact that school authorities and family members often report these offenses suggests a possible hypothesis to explain increases in some preteen crimes: The juvenile justice system today may be dealing with child behavior problems that were once the responsibility of social welfare agencies, schools, and families
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