We derive a mathematical mechanism of infrared catastrophe from the idea for the proof in [22, 23] and generalize it so that we can apply it to several models in quantum field theory. We define the Carleman operator from the operator-theoretical pull-through formula on ground states. Characterizing infrared catastrophe by the Carleman operator, we study the mechanism of infrared catastrophe. An...

The characteristic features of the collapse of the ground state in trapped one-component attractive Bose-Einstein condensates are studied by applying the catastrophe theory. From numerically obtained stable and unstable solutions of the Gross-Pitaevskii equation, we derive the catastrophe function defining the stability of the stationary points on the Gross-Pitaevskii energy functional. The bif...

Hope has long been seen as essential to motivate social movement activism. However, in the transition and collapsology networks, a ‘postapocalyptic’ environmentalism that views catastrophe ongoing or unavoidable is gaining ground, reflecting an increasing awareness environmental catastrophes are already here have become inevitable. If hope can no longer mean averting catastrophe, what role does...

The field of environmental health focuses on the relationships between human health and well being and the influence of the physical, social and societal environments. Our understanding of the environment-health interface has progressed because of two relatively recent insights: First, the recognition that the unprecedented environmental changes of the last half-century are affecting global pop...

according to ipcc report 2013, the role of man in environmental catastrophe is incontrovertible because of high greenhouse emission in now and recent century. buildings nearly discharge one third of these pollutants and the task of architects to prevent this hazardous procedure is critical. in the other hand, one main basis of sustainability is education due to preserve environment and then, tr...

A prospective study of 132 patients with severe cornmunity-acquired pneumonia (CAP) treated in the ICU was carried out to determine the causative agents, the value of the clinical, biological, and radiologic features in predicting the etiology, and to define prognostic factors. The study group included 98 men and 34 women (mean age: 58 ± 18 years). The most frequent underlying condition was COP...

The 1930’s American Dust Bowl was an environmental catastrophe that greatly eroded sections of the Plains. Analyzing new data collected to identify low-, medium-, and high-erosion counties, the Dust Bowl is estimated to have immediately, substantially, and persistently reduced agricultural land values and revenues. During the Depression and through at least the 1950’s, there was limited realloc...

A catastrophic extinction occurred at the end of the Permian Period. However, baseline extinction rates appear to have been elevated even before the final catastrophe, suggesting sustained environmental degradation. For terrestrial vertebrates during the Late Permian, the combination of a drop in atmospheric oxygen plus climate warming would have induced hypoxic stress and consequently compress...