Simulation of quantum random walks using the interference of a classical field

We suggest a theoretical scheme for the simulation of quantum random walks on a line using beam splitters, phase shifters, and photodetectors. Our model enables us to simulate a quantum random walk using of the wave nature of classical light fields. Furthermore, the proposed setup allows the analysis of the effects of decoherence. The transition from a pure mean-photon-number distribution to a classical one is studied varying the decoherence parameters.

Impact of Government Intervention on Employment Change and Plant Closure in Northern Ireland, 1983-97

Harris R. and Trainor M. (2007) Impact of government intervention on employment change and plant closure in Northern Ireland, 1983-97, Regional Studies 41, 51-63. Financial assistance to manufacturing industry is an important element of the industrial development policy in Northern Ireland. This paper uses the individual plant-level records of the Annual Respondents Database (ARD) for the Northern Ireland manufacturing sector (1983-97) matched to the plant-level details of financial support provided by the Industrial Development Board to examine the effect of selective financial assistance (SFA) on employment change and plant closure. It is found that SFA concentrated on protecting existing, rather than new, enterprises in terms of employment change. Using a hazard model, it is found that the receipt of SFA significantly reduced the probability of plant closure by, on average, between 15 and 24%.

Green function for the diffusion limit of one-dimensional continuous time random walks

It is shown how the fractional probability density diffusion equation for the diffusion limit of one-dimensional continuous time random walks may be derived from a generalized Markovian Chapman-Kolmogorov equation. The non-Markovian behaviour is incorporated into the Markovian Chapman-Kolmogorov equation by postulating a Levy like distribution of waiting times as a kernel. The Chapman-Kolmogorov equation so generalised then takes on the form of a convolution integral. The dependence on the initial conditions typical of a non-Markovian process is treated by adding a time dependent term involving the survival probability to the convolution integral. In the diffusion limit these two assumptions about the past history of the process are sufficient to reproduce anomalous diffusion and relaxation behaviour of the Cole-Cole type. The Green function in the diffusion limit is calculated using the fact that the characteristic function is the Mittag-Leffler function. Fourier inversion of the characteristic function yields the Green function in terms of a Wright function. The moments of the distribution function are evaluated from the Mittag-Leffler function using the properties of characteristic functions and a relation between the powers of the second moment and higher order even moments is derived. (C) 2004 Elsevier B.V. All rights reserved.

First report of a novel plant lysozyme with both antifungal and antibacterial activities.

A novel lysozyme exhibiting antifungal activity and with a molecular mass of 14.4 kDa in SDS–polyacrylamide gel electrophoresis was isolated from mung bean (Phaseolus mungo) seeds using a procedure that involved aqueous extraction, ammonium sulfate precipitation, ion exchange chromatography on CM-Sephadex, and high-performance liquid chromatography on POROS HS-20. Its N-terminal sequence was very different from that of hen egg white lysozyme. Its pI was estimated to be above 9.7. The specific activity of the lysozyme was 355 U/mg at pH 5.5 and 30 °C. The lysozyme exhibited a pH optimum at pH 5.5 and a temperature optimum at 55 °C. It is reported herein, for the first time, that a novel plant lysozyme exerted an antifungal action toward Fusarium oxysporum, Fusarium solani, Pythium aphanidermatum, Sclerotium rolfsii, and Botrytis cinerea, in addition to an antibacterial action against Staphylococcus aureus.