301 research outputs found

    First-order transition of tethered membranes in 3d space

    Full text link
    We study a model of phantom tethered membranes, embedded in three-dimensional space, by extensive Monte Carlo simulations. The membranes have hexagonal lattice structure where each monomer is interacting with six nearest-neighbors (NN). Tethering interaction between NN, as well as curvature penalty between NN triangles are taken into account. This model is new in the sense that NN interactions are taken into account by a truncated Lennard-Jones potential including both repulsive and attractive parts. The main result of our study is that the system undergoes a first-order crumpling transition from low temperature flat phase to high temperature crumpled phase, in contrast with early numerical results on models of tethered membranes.Comment: 5 pages, 6 figure

    Folding transitions of the triangular lattice with defects

    Get PDF
    A recently introduced model describing the folding of the triangular lattice is generalized allowing for defects in the lattice and written as an Ising model with nearest-neighbor and plaquette interactions on the honeycomb lattice. Its phase diagram is determined in the hexagon approximation of the cluster variation method and the crossover from the pure Ising to the pure folding model is investigated, obtaining a quite rich structure with several multicritical points. Our results are in very good agreement with the available exact ones and extend a previous transfer matrix study.Comment: 16 pages, latex, 5 postscript figure

    Mechanized Percussion Well Drilling

    Get PDF
    The Mechanized Percussion Well Drilling Project seeks to design a simple mechanized well drilling system to be used for drilling shallow water wells in Burkina Faso, Africa. These systems will be operated by local drilling teams, allowing them to earn an income for themselves and their families. Currently our end users, the Burkinabe Well Drilling Team, have trouble drilling through hard rock layers, and often must abandon holes due to inadequate equipment. The goal of this project is to enable the drillers to efficiently drill through these rock layers with a mechanized percussion rig and supporting drilling equipment. One of the areas the project has focused on this year was testing our new steel cathead, a critical piece of the drilling rig which severely wore during in-country testing in the summer of 2017. After 40 hours of testing with no visible wear, we were confident that our new cathead would be sufficient. We also designed a new, heavier drill bit that was more able to concentrate the force of each impact. Finally, we tested our system using ropes that can be bought in Burkina Faso to ensure our system will be sustainable for our end users.https://mosaic.messiah.edu/engr2020/1003/thumbnail.jp

    Folding transition of the triangular lattice in a discrete three--dimensional space

    Get PDF
    A vertex model introduced by M. Bowick, P. Di Francesco, O. Golinelli, and E. Guitter (cond-mat/9502063) describing the folding of the triangular lattice onto the face centered cubic lattice has been studied in the hexagon approximation of the cluster variation method. The model describes the behaviour of a polymerized membrane in a discrete three--dimensional space. We have introduced a curvature energy and a symmetry breaking field and studied the phase diagram of the resulting model. By varying the curvature energy parameter, a first-order transition has been found between a flat and a folded phase for any value of the symmetry breaking field.Comment: 11 pages, latex file, 2 postscript figure

    An Effective Model for Crumpling in Two Dimensions?

    Full text link
    We investigate the crumpling transition for a dynamically triangulated random surface embedded in two dimensions using an effective model in which the disordering effect of the XX variables on the correlations of the normals is replaced by a long-range ``antiferromagnetic'' term. We compare the results from a Monte Carlo simulation with those obtained for the standard action which retains the XX's and discuss the nature of the phase transition.Comment: 5 page

    Smooth Random Surfaces from Tight Immersions?

    Full text link
    We investigate actions for dynamically triangulated random surfaces that consist of a gaussian or area term plus the {\it modulus} of the gaussian curvature and compare their behavior with both gaussian plus extrinsic curvature and ``Steiner'' actions.Comment: 7 page
    corecore