Transport of Brownian particles confined to a weakly corrugated channel

We investigate the average velocity of Brownian particles driven by a constant external force when constrained to move in two-dimensional, weakly-corrugated channels. We consider both the geometric confinement of the particles between solid walls as well as the soft confinement induced by a periodic potential. Using perturbation methods we show that the leading order correction to the marginal probability distribution of particles in the case of soft confinement is equal to that obtained in the case of geometric confinement, provided that the (configuration) integral over the cross-section of the confining potential is equal to the width of the solid channel. We then calculate the probability distribution and average velocity in the case of a sinusoidal variation in the width of the channels. The reduction on the average velocity is larger in the case of soft channels at small P\'eclet numbers and for relatively narrow channels and the opposite is true at large P\'eclet numbers and for wide channels. In the limit of large P\'eclet numbers the convergence to bulk velocity is faster in the case of soft channels. The leading order correction to the average velocity and marginal probability distribution agree well with Brownian Dynamics simulations for the two types of confinement and over a wide range of P\'eclet numbers

Communication systems supporting multimedia multi-user applications

Multimedia multi-user applications are becoming more and more important. Intensive research is underway on the design of protocols and protocol entities for future communication systems supporting multimedia multi-user applications. The development of a service description ensures that protocol designs actually produce the required functional behavior. The authors explain the approach to the description of a multimedia multi-user service. An example illustrates the use of the service description in the design of communication systems. Next, they present the basic requirements of multimedia and multi-user communications. A call model underlies and structures the service description. Finally, the authors describe the service in terms of service element

2-Bromo-4-chloro-6-[(1-phenyl­ethyl)­imino­meth­yl]phenol

The title compound, C15H13BrClNO, is a Schiff base derived from the condensation of equimolar quanti­ties of 3-bromo-5-chloro­salicylaldehyde and 1-phenyl­ethanamine. The structure displays a trans configuration with respect to the imine C=N double bond. The N atom is also involved in an intra­molecular O—H—N hydrogen bond, which stabilizes the configuration of the compound

The product formula in cohomological Hall algebras

This is an expository article. It gives a detailed explanation of the product formula of Cohomological Hall algebra

流動性の連動性に関する論文三編

要約のみTohoku University金﨑芳輔課

Communicating innovation: An appreciative inquiry investigation into innovation in China

The thesis considers that the intersection of creativity, innovation management, and communication are under researched in China. It seeks make a contribution to this area through exploratory research in a range of companies in Wenzhou, a south-east city in Zhejiang province, China. By researching firms across different sectors, and through analysing the companies‟ experiences of innovation generation and implementation, this thesis offers findings in a range of areas including: the apprehension of successful innovation, innovation and top leadership, and the relationship between innovation and customer value creations. The main findings indicate several aspects of innovation in China. First, Chinese enterprises considered successful innovations as those can bring profitable growth. Second, top leadership drives innovation and has the greatest influence on corporate innovation in Chinese enterprises. Third, although few companies in Wenzhou have created new products, or new markets, an increasing number of customer-oriented innovations occurred in recent years in Chinese enterprises. In addition, investigations on Corporate Social Responsibility (CSR) after the field research, reveals that Chinese state-owned enterprises may be promoting similar ideas in relation to innovation and CSR. To sum up, this research project provided an insight into recent perceptions of innovation, innovation readiness, and innovation achievement by Chinese enterprises in Wenzhou