Tracy-Widom asymptotics for q-TASEP

We consider the q-TASEP that is a q-deformation of the totally asymmetric simple exclusion process (TASEP) on Z for q in [0,1) where the jump rates depend on the gap to the next particle. For step initial condition, we prove that the current fluctuation of q-TASEP at time t are of order t^{1/3} and asymptotically distributed as the GUE Tracy-Widom distribution, which confirms the KPZ scaling theory conjecture.Comment: 24 pages, 5 figure

Optimal shunt parameters for maximising wave attenuation with periodic piezoelectric patches

Elastic metamaterials, which have huge potential in wave guiding and attenuation applications, can be built from structures with periodic piezoelectric patch arrays. Passive shunts offer the benefits of simplicity and low cost. In this paper, the effects of the magnitude and phase angle of the shunt impedance on the attenuation constant of a beam with periodic piezoelectric patch arrays were studied in order to determine the optimal shunt that produces the widest and most effective band gaps. The attenuation constants were found to be large when the phase angle is Formula rad and when the magnitude decreases exponentially with the excitation frequency. This corresponds to a negative capacitance circuit, which is the optimal shunt for such systems. The attenuation constant of the system reduces significantly when the impedance deviates from the optimal value suggesting other circuits are less effective. The impedance and band structure of resistive–inductive (R-L), negative capacitance and resistive shunts were investigated. As expected, the negative capacitance circuit produces a large band gap, while the R-L circuit only produces a band gap around its natural frequency. The transmissibilities of a finite system with these circuits demonstrated that vibration transmissions are low within the band gaps. Furthermore, the stability of the negative capacitance circuit built using a dual-output second-generation current conveyor (DO-CCII) was examined by studying the pole diagrams. The system was found to be stable in ideal conditions but unstable when parasitic effects are considered. This suggests that the stability of the system is an important consideration for the implementation of this strategy and the different negative impedance converter designs available in the literature should be studied to find a suitable circuit configuration

The die is cast: Brexit's influence on student career intentions

Brexit, Britain’s referendum to leave the European Union (EU), provided the backdrop for this study, although how or even if it will be implemented is uncertain. Most UK voters supported leaving the EU, yet an overwhelming majority of young people voted to remain. In an environment of economic and labour market ambiguity, we sampled 304 UK university students to examine Brexit’s perceived impact on their career plans. Using Theory of Planned Behaviour, we found that students with higher internal locus of control intended to adapt career plans, although students who identified themselves as British were less proactive. Whilst most students aspired to follow a career path as an employee of a large company, nearly one third intended to become entrepreneurs, a path preferred by twice the number of males as females. Our results provide important insights for post-Brexit planning of educational policy and for businesses and labour markets throughout Europe

Building Protein Domain Based Composite Biobricks for Mammalian Expression Systems

The purpose of this RFC is to describe a method that allows the design of protein domain based parts, starting with gene centered information and translate these informations into BBF RFC 25 compatible part. The method is designed to be used in mammalian expression systems

Non-colliding Brownian bridges and the asymmetric tacnode process

We consider non-colliding Brownian bridges starting from two points and returning to the same position. These positions are chosen such that, in the limit of large number of bridges, the two families of bridges just touch each other forming a tacnode. We obtain the limiting process at the tacnode, the "asymmetric tacnode process". It is a determinantal point process with correlation kernel given by two parameters: (1) the curvature's ratio \lambda>0 of the limit shapes of the two families of bridges, (2) a parameter \sigma controlling the interaction on the fluctuation scale. This generalizes the result for the symmetric tacnode process (\lambda=1 case).Comment: 21 pages, 1 figure, LaTeX; Includes a further representation of the kerne