Search results for "lattice"
showing 10 items of 3278 documents
A laplace type problem for three lattices with non-convex cell
2016
In this paper we consider three lattices with cells represented in Fig. 1, 3 and 5 and we determine the probability that a random segment of constant length intersects a side of lattice. c ⃝2016 All rights reserved.
Diffusion through thin membranes: Modeling across scales
2016
From macroscopic to microscopic scales it is demonstrated that diffusion through membranes can be modeled using specific boundary conditions across them. The membranes are here considered thin in comparison to the overall size of the system. In a macroscopic scale the membrane is introduced as a transmission boundary condition, which enables an effective modeling of systems that involve multiple scales. In a mesoscopic scale, a numerical lattice-Boltzmann scheme with a partial-bounceback condition at the membrane is proposed and analyzed. It is shown that this mesoscopic approach provides a consistent approximation of the transmission boundary condition. Furthermore, analysis of the mesosco…
Weakly coupled map lattice models for multicellular patterning and collective normalization of abnormal single-cell states
2017
We present a weakly coupled map lattice model for patterning that explores the effects exerted by weakening the local dynamic rules on model biological and artificial networks composed of two-state building blocks (cells). To this end, we use two cellular automata models based on: (i) a smooth majority rule (model I) and (ii) a set of rules similar to those of Conway's Game of Life (model II). The normal and abnormal cell states evolve according with local rules that are modulated by a parameter $\kappa$. This parameter quantifies the effective weakening of the prescribed rules due to the limited coupling of each cell to its neighborhood and can be experimentally controlled by appropriate e…
Interactions between saliva and flavour compounds
2016
Interactions between saliva and flavour compounds
Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures
2018
Ultracold fermionic gases in optical lattices give a great opportunity for creating different types of novel states. One of them is phase separation induced by a trapping potential between different types of superfluid phases. The core-shell structures, occurring in systems with a trapping potential, are a good example of such separations. The types and the sequences of phases which emerge in such structures can depend on spin-imbalance, shape of the trap and on-site interaction strength. In this work, we investigate the properties of such structures within an attractive Fermi gas loaded in the optical lattice, in the presence of the trapping potential and their relations to the phase diagr…
A solution of the minimum-time velocity planning problem based on lattice theory
2018
For a vehicle on an assigned path, we find the minimum-time speed law that satisfies kinematic and dynamic constraints, related to maximum speed and maximum tangential and transversal acceleration. We present a necessary and sufficient condition for the feasibility of the problem and a simple operator, based on the solution of two ordinary differential equations, which computes the optimal solution. Theoretically, we show that the problem feasible set, if not empty, is a lattice, whose supremum element corresponds to the optimal solution.
Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarization
2020
We study isospin-1 P-wave ππ scattering in lattice QCD with two flavors of O(a) improved Wilson fermions. For pion masses ranging from mπ=265 MeV to mπ=437 MeV, we determine the energy spectrum in the center-of-mass frame and in three moving frames. We obtain the scattering phase shifts using Lüscher’s finite-volume quantization condition. Fitting the dependence of the phase shifts on the scattering momentum to a Breit-Wigner form allows us to determine the corresponding ρ mass mρ and gρππ coupling. By combining the scattering phase shifts with the decay matrix element of the vector current, we calculate the timelike pion form factor, Fπ, and compare the results to the Gounaris-Sakurai repr…
"Exclusion contour(exp.) 6 : Meff" of "Search for squarks and gluinos in final states with jets and missing transverse momentum using 36 fb$^{-1}$ of…
2018
Expected 95% CL exclusion contours from Meff-based searches on the gluino mass and the mass gap ratio x in a SUSY scenario where gluinos are produced in pairs and decay via an intermediate lightest chargino to the lightest neutralino, $\tilde{g} \rightarrow qq \tilde{\chi}_{1}^{\pm} \rightarrow qq W^{\pm} \tilde{\chi}_{1}^{0}$.
"Exclusion contour(obs.) 7 : Meff" of "Search for squarks and gluinos in final states with jets and missing transverse momentum using 36 fb$^{-1}$ of…
2018
Observed 95% CL exclusion contours from Meff-based searches on the gluino and second lightest neutralino masses in a SUSY scenario where gluinos are produced in pairs and decay via an intermediate the second lightest neutralino to the lightest neutralino, $\tilde{g} \rightarrow qq \tilde{\chi}_{2}^{0} \rightarrow qq Z \tilde{\chi}_{1}^{0}$.
"Exclusion contour(obs.) 2 : Meff+RJR" of "Search for squarks and gluinos in final states with jets and missing transverse momentum using 36 fb$^{-1}…
2018
Observed 95% CL exclusion contours from searches on the gluino and lightest neutralino masses in a SUSY scenario where gluinos are produced in pairs and decay directly into the lightest neutralino, $\tilde{g} \rightarrow qq \tilde{\chi}_{1}^{0}$.