Effects of Langmuir Kinetics of Two-Lane Totally Asymmetric Exclusion Processes in Protein Traffic

In this paper, we study a two-lane totally asymmetric simple exclusion process (TASEP) coupled with random attachment and detachment of particles (Langmuir kinetics) in both lanes under open boundary conditions. Our model can describe the directed motion of molecular motors, attachment and detachment of motors, and free inter-lane transition of motors between filaments. In this paper, we focus on some finite-size effects of the system because normally the sizes of most real systems are finite and small (e.g., size $\leq 10,000$). A special finite-size effect of the two-lane system has been observed, which is that the density wall moves left first and then move towards the right with the increase of the lane-changing rate. We called it the jumping effect. We find that increasing attachment and detachment rates will weaken the jumping effect. We also confirmed that when the size of the two-lane system is large enough, the jumping effect disappears, and the two-lane system has a similar density profile to a single-lane TASEP coupled with Langmuir kinetics. Increasing lane-changing rates has little effect on density and current after the density reaches maximum. Also, lane-changing rate has no effect on density profiles of a two-lane TASEP coupled with Langmuir kinetics at a large attachment/detachment rate and/or a large system size. Mean-field approximation is presented and it agrees with our Monte Carlo simulations.Comment: 15 pages, 8 figures. To be published in IJMP

Effect of temperature on elastic constants, generalized stacking fault energy and dislocation cores in MgO and CaO

AbstractTemperature effect on the elastic constants and anisotropy of MgO and CaO are performed via first-principles approach combing the quasistatic approximation to elasticity and the quasiharmonic phonon approximation to thermal expansion. Generalized stacking fault energy curves at different temperature are also computed due to the importance for dislocation properties. The core structures of 1/2〈110〉{110} dislocations in MgO and CaO at different temperature are investigated within the improved Peierls–Nabarro dislocation theory using Foreman's method. It is found that the core width of dislocation increases with the increasing of temperature

Measuring hhWWhhWW Coupling at Lepton Colliders

The quartic Higgs-gauge-boson coupling $g_{hhWW}$ is sensitive to the electroweak symmetry breaking mechanism, however, it is challenging to be measured at the large hadron collider. We show that the coupling can be well probed at future lepton colliders through di-Higgs boson production via the vector boson fusion channel. We perform a detailed simulation of $\ell^+\ell^-\to \nu\bar\nu hh\to 4b\,+ \!\!\not{\!\! E}_T$ with parton showering effects at $e^+e^-$, $\mu^+\mu^-$ and $e^-\mu^+$ colliders. We find that the regions of $g_{hhWW}/g_{hhWW}^{\rm SM}<0.86$ and $g_{hhWW}/g_{hhWW}^{\rm SM}>1.32$ can be discovered at the $5\sigma$ confidence level at the 10 TeV $\mu^+ \mu^-$ collider with an integrated luminosity of 3 ab$^{-1}$.Comment: 18 pages, 9 figure