title: Jamming for nematic deposition in the presence of impurities.
abstract: The deposition of one-dimensional objects (such as polymers) on a one-dimensional lattice with the presence of impurities is studied in order to find saturation conditions in what is known as jamming. Over a critical concentration of k-mers (polymers of length k), no further depositions are possible. Five different nematic (directional) depositions are considered: baseline, irreversible, configurational, loose-packing, and close-packing. Correspondingly, five jamming functions are found, and their dependencies on the length of the lattice, L, the concentration of impurities, p=M/L (where M is the number of one-dimensional impurities), and the length of the k-mer (k) are established. In parallel, numeric simulations are performed to compare with the theoretical results. The emphasis is on trimers (k=3) and p in the range [0.01,0.15], however other related cases are also considered and reported.
authors.affiliation: Departamento de Física, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.|Center for the Development of Nanoscience and Nanotechnology (CEDENNA), 9170124 Santiago, Chile.
authors.forename: E E
authors.initials: EE
authors.lastname: Vogel
authors.affiliation: Departamento de Física, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.
authors.forename: J F
authors.initials: JF
authors.lastname: Valdes
authors.affiliation: Departamento de Física, Universidad de La Frontera, Casilla 54-D, Temuco, Chile.
authors.forename: W
authors.initials: W
authors.lastname: Lebrecht
authors.affiliation: Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de Los Andes 950, D5700HHW, San Luis, Argentina.
authors.forename: A J
authors.initials: AJ
authors.lastname: Ramirez-Pastor
authors.affiliation: Departamento de Física, Instituto de Física Aplicada, Universidad Nacional de San Luis-CONICET, Ejército de Los Andes 950, D5700HHW, San Luis, Argentina.
authors.forename: P
authors.initials: P
authors.lastname: Centres