12 research outputs found
Chiral molecule adsorption on helical polymers
We present a lattice model for helicity induction on an optically inactive
polymer due to the adsorption of exogenous chiral amine molecules. The system
is mapped onto a one-dimensional Ising model characterized by an on-site
polymer helicity variable and an amine occupancy one. The equilibrium
properties are analyzed at the limit of strong coupling between helicity
induction and amine adsorption and that of non-interacting adsorbant molecules.
We discuss our results in view of recent experimental results
Physics, Topology, Logic and Computation: A Rosetta Stone
In physics, Feynman diagrams are used to reason about quantum processes. In
the 1980s, it became clear that underlying these diagrams is a powerful analogy
between quantum physics and topology: namely, a linear operator behaves very
much like a "cobordism". Similar diagrams can be used to reason about logic,
where they represent proofs, and computation, where they represent programs.
With the rise of interest in quantum cryptography and quantum computation, it
became clear that there is extensive network of analogies between physics,
topology, logic and computation. In this expository paper, we make some of
these analogies precise using the concept of "closed symmetric monoidal
category". We assume no prior knowledge of category theory, proof theory or
computer science.Comment: 73 pages, 8 encapsulated postscript figure