Asymptotics of polygons in restricted geometries subject to a force

International audienceWe consider self-avoiding polygons in a restricted geometry, namely an infinite L × M tube in Z3. These polygons are subjected to a force f, parallel to the infinite axis of the tube. When f > 0 the force stretches the polygons, while when f < 0 the force is compressive. In this extended abstract we obtain and prove the asymptotic form of the free energy in the limit f → −∞. We conjecture that the f → −∞ asymptote is the same as the free energy of Hamiltonian polygons, which visit every vertex in a L × M × N box

Asymptotics of polygons in restricted geometries subject to a force

We consider self-avoiding polygons in a restricted geometry, namely an infinite L × M tube in Z3. These polygons are subjected to a force f, parallel to the infinite axis of the tube. When f > 0 the force stretches the polygons, while when f < 0 the force is compressive. In this extended abstract we obtain and prove the asymptotic form of the free energy in the limit f → −∞. We conjecture that the f → −∞ asymptote is the same as the free energy of Hamiltonian polygons, which visit every vertex in a L × M × N box

Towards the digital university: a brief introduction to E-Texts and open access

The notion of "E-texts" or "electronic texts" made its way onto the agenda of the Academic Support Committee in April 2009. This interest in E-Text was prompted by an inquiry to the Committee Chair by several faculty members who had questions about academic publisher presentations that were occurring on campus. Following from the Committee discussions, a Subcommittee was struck to examine the trends, tools and potential of e-text as it relates to academic resources. The Subcommittee held its first meeting on May xx, 2009 and established the intial Terms of Reference for the working group. The following document reports our findings and reflects the nature of these conversations. The report conveys how E-Texts are currently dealt with by publishers, by the University Bookstore, and by Library collections. As well, it describes the concept of Open Access as it applies to the individuals' ability to electronically publish academic materials, as a way of making academic information available to students and faculty alike

Polygons, polymers and entangled DNA

Non UBCUnreviewedAuthor affiliation: University of SaskatchewanFacult

Characterizing linking in lattice models of polymers in nanochannels

Motivated in part by experimental and molecular dynamics studies of the entanglement characteristics of DNA in nanonchannels, we have been studying the statistics of knotting and linking for equilibrium lattice models of polymers confined to lattice tubes. In this talk I will present our theorems and transfer-matrix-based numerical results for the link statistics for self-avoiding polygon models in small tubes. The main focus will be on the special case of pairs of polygons which span a lattice tube. In this case, it is known that all but exponentially few of the configurations will be linked as the span of the polygons goes to infinity. However there are many interesting open questions about configurational statistics for pairs of polygons with fixed link type and I will introduce some of those.Non UBCUnreviewedAuthor affiliation: University of SaskatchewanFacult

Entanglement complexity of compressed and stretched polygons in lattice tubes

Self-avoiding walks and polygons are the standard statistical mechanics lattice model of linear and ring polymers in dilute solution. These models have also proven to be useful for investigating questions about DNA topology as well as about confined polymers. In this talk I will review transfer-matrix results regarding the entanglement complexity of self-avoiding polygon models in infinite lattice tubes in order to understand the effects of confinement on ring polymer entanglement. New theoretical and numerical results will be discussed regarding polygons under a tensile force as well as maximally compressed polygons in the tube.Non UBCUnreviewedAuthor affiliation: University of Saskatchewan, Department of Mathematics and StatisticsFacult

Asymptotics of polygons in restricted geometries subject to a force

We consider self-avoiding polygons in a restricted geometry, namely an infinite L × M tube in Z3. These polygons are subjected to a force f, parallel to the infinite axis of the tube. When f > 0 the force stretches the polygons, while when f < 0 the force is compressive. In this extended abstract we obtain and prove the asymptotic form of the free energy in the limit f → −∞. We conjecture that the f → −∞ asymptote is the same as the free energy of Hamiltonian polygons, which visit every vertex in a L × M × N box