Zamolodchikov found an integrable field theory related to the Lie algebra E8, which describes the scaling limit of the Ising model in a magnetic field. He conjectured that there also exist solvable lattice models based on E8 in the universality class of the Ising model in a field. The dilute A3 model is a solvable lattice model with a critical point in the Ising universality class. The paramete...

In this study, an octagonal-based self-organizing network’s lattice structure is proposed to allow more exploration and exploitation in updating the weights for better mapping and classification performances. The neighborhood of the octagonal-based lattice structure provides more nodes for the weights updating than standard hexagonal-based lattice structure. Based on our experiment, the octagon...

mesoporous  mgo  microstructures  were  synthesized  using magnesium  acetate  tetrahydrate,  ammonium  oxalate  monohydrate and  pluronic  f127  via  heating  at  40  °c  for  24  h  and  subsequent calcination. the mesoporous structure of magnesium oxide with the specific  surface  area  of  47m2/g,  pore  volume  0.30  cm3/g  and  the average pore size 24 nm is produced. according to xrd stu...

A critical dilute O(n) model on the kagome lattice is investigated analytically and numerically. We employ a number of exact equivalences which, in a few steps, link the critical O(n) spin model on the kagome lattice to the exactly solvable critical q-state Potts model on the honeycomb lattice with q=(n+1)2. The intermediate steps involve the random-cluster model on the honeycomb lattice and a ...

Electro-ribbon actuators are high-performance electrically-driven artificial muscles with high flexibility, low mass, power consumption, contraction, and force-to-weight ratio. They show great promise for driving the deployment of compact folding structures. This article presents electro-lattice actuator (ELA), a compliant, three-dimensional, free-standing lattice structure that uses this pheno...

We study dynamics of two-dimensional non-abelian gauge theories with N = (0, 2) supersymmetry that includeN = (0, 2) supersymmetric QCD and its generalizations. In particular, we present the phase diagram of N = (0, 2) SQCD and determine its massive and low-energy spectrum. We find that the theory has no mass gap, a nearly constant distribution of massive states, and lots of massless states tha...

Photoinduced threshold switching processes that lead to bistability and the formation of metastable phases in photoinduced phase transition of VO2 are elucidated through ultrafast electron diffraction and diffusive scattering techniques with varying excitation wavelengths. We uncover two distinct regimes of the dynamical phase change: a nearly instantaneous crossover into an intermediate state ...

BACKGROUND Recent experimental and theoretical studies have shown that several small proteins reach the native state by a nucleation-collapse mechanism. Studies based on lattice models have been used to suggest that the critical nucleus is specific, leading to the notion that the transition state may be unique. On the other hand, results of studies using off-lattice models show that the critica...