R+R2R + R^2 Gravity as R+R + Backreaction

Quadratic theory of gravity is a complicated constraint system. We investigate some consequences of treating quadratic terms perturbatively (higher derivative version of backreaction effects). This approach is shown to overcome some well known problems associated with higher derivative theories, i.e., the physical gravitational degree of freedom remains unchanged from those of Einstein gravity. Using such an interpretation of $R + \beta R^2$ gravity, we investigate a classical and Wheeler DeWitt evolution of $R + \beta R^2$ gravity for a particular sign of $\beta$, corresponding to non- tachyon case. Matter is described by a phenomenological $\rho \propto a(t)^{-n}$. It is concluded that both the Friedmann potential $U(a)$ (${\dot a}^2 + 2U(a) = 0$) and the Wheeler DeWitt potential $W(a)$ ($\left[-{\partial^2\over \partial a^2} + 2W(a)\right]\psi (a) =0$) develop repulsive barriers near $a\approx 0$ for $n>4$ (i.e., $p > {1\over 3}\rho$). The interpretations is clear. Repulsive barrier in $U(a)$ implies that a contracting FRW universe ($k>0, k=0, k<0$) will bounce to an expansion phase without a total gravitational collapse. Repulsive barrier in $W(a)$ means that $a \approx 0$ is a classically forbidden region. Therefore, probability of finding a universe with the big bang singularity ($a=0$ ) is exponentially suppressed.Comment: Accepted for publication in Phy. Rev. D.,18 pages, 6 figures, Latex fil

Mental health and the response to financial incentives: evidence from a survey incentives experiment

Although mental health disorders such as anxiety and depression are common, there is little research on whether individuals in poor mental health react differently from others to financial incentives. This paper exploits an experiment from the UK Understanding Society Innovation Panel to assess how the participation response to randomly-assigned financial incentives differs by mental health status. We find that individuals in good mental health are more likely to respond when offered a higher financial incentive, whereas those in poor mental health are indifferent to the increased incentive. We find no comparable differences for physical health

The variation of floods in the middle reaches of the Yangtze River and its teleconnection with El Niño events

International audienceMiddle reaches of the Yangtze River are the worst flooded segments along the Yangtze River. It is important to understand and study the variations of frequency and magnitude of historical floods in this area and how were they related to or affected by EI Niño in a long historical period. We applied the statistics and time series to study and analyze historical floods (1470-2000) and EI Niño events (1525-1995). The results show that the more floods occurred in the latest 200 years. The power-spectral analysis suggests the main cycle of flood variation is longer than that of EI Niño events. El Nino shows the fluctuations of about 2-year and 3~4 year period while the flood variation is not so significant but can also be identified in the period of 2, 8 and 40 years (it exceeds the level of confidence 0.03). Time series analyses of the fluctuation of flood and El Nino indicate that there is a significant correlation between the two at both high and moderate frequency sections. The result shows that the response of the floods along the middle reaches of the Yangtze River to the effects of El Nino events is not only delayed one or more than one year as suggested by many Chinese scientists, but it also can be somewhat longer delayed up to about 8 years. The result also indicates that the shorter the interval of EI Niño events, the sooner the flood events follows. In other words, flood could be delayed with longer time if the interval time of EI Niño events is longer

Investigation of laser dynamics, modulation and control by means of intra-cavity time varying perturbation

The generation of tunable visible, infrared, and ultraviolet light is examined, along with the control of this light by means of novel mode-locking and modulation techniques. Transient mode-locking of the Nd:YAG laser and generation of short tunable pulses in the visible and the alkali metal inert gas excimer laser systems were investigated. Techniques for frequency conversion of high power and high energy laser radiation are discussed, along with high average power blue and UV laser light sources

Purification and characterisation of dsRNA using ion pair reverse phase chromatography and mass spectrometry

RNA interference has provided valuable insight into a wide range of biological systems and is a powerful tool for the analysis of gene function. The exploitation of this pathway to block the expression of specific gene targets holds considerable promise for the development of novel RNAi-based insect management strategies. In addition, there are a wide number of future potential applications of RNAi to control agricultural insect pests as well as its use for prevention of diseases in beneficial insects. The potential to synthesise large quantities of dsRNA by in-vitro transcription or in bacterial systems for RNA interference applications has generated significant demand for the development and application of high throughput analytical tools for the rapid extraction, purification and analysis of dsRNA. Here we have developed analytical methods that enable the rapid purification of dsRNA from associated impurities from bacterial cells in conjunction with downstream analyses. We have optimised TRIzol extractions in conjunction with a single step protocol to remove contaminating DNA and ssRNA, using RNase T1/DNase I digestion under high-salt conditions in combination with solid phase extraction to purify the dsRNA. In addition, we have utilised and developed IP RP HPLC for the rapid, high resolution analysis of the dsRNA. Furthermore, we have optimised base-specific cleavage of dsRNA by RNase A and developed a novel method utilising RNase T1 for RNase mass mapping approaches to further characterise the dsRNA using liquid chromatography interfaced with mass spectrometry