Stochastic Theory of Accelerated Detectors in a Quantum Field

We analyze the statistical mechanical properties of n-detectors in arbitrary states of motion interacting with each other via a quantum field. We use the open system concept and the influence functional method to calculate the influence of quantum fields on detectors in motion, and the mutual influence of detectors via fields. We discuss the difference between self and mutual impedance and advanced and retarded noise. The mutual effects of detectors on each other can be studied from the Langevin equations derived from the influence functional, as it contains the backreaction of the field on the system self-consistently. We show the existence of general fluctuation- dissipation relations, and for trajectories without event horizons, correlation-propagation relations, which succinctly encapsulate these quantum statistical phenomena. These findings serve to clarify some existing confusions in the accelerated detector problem. The general methodology presented here could also serve as a platform to explore the quantum statistical properties of particles and fields, with practical applications in atomic and optical physics problems.Comment: 32 pages, Late

How Differing Soil Microbial Communities and Dehydration Stress Effect Arabidopsis thaliana Morphological Development

Arabidopsis thaliana was exposed to five different soil treatments: Vermicompost, ‘Food Waste’ Compost, Potting soil (4:1 Promix BX/Perlite), Autoclaved Vermicompost and Autoclaved ‘Food Waste’ compost. Soil treatments A and B were tested for the presence of bacteria using MacConkey and Phenylethyl Alcohol media. All plants were watered on Tuesdays and Fridays and no longer received water after one month. Leaf number, stem height and length of the largest leaf were measured before and after dehydration stress. Once the dehydration stress began, the majority of the plants did not survive with the exception of the vermicompost