FileAttachment-annotations¿ ef ̇count = ¡number of embedded files¿, fa ̇count = ¡number of FileAttachment-annotations¿ LINKING MATRICES IN SYSTEMS WITH PERIODIC BOUNDARY
نویسندگان
چکیده
Using the Gauss linking number, we define a new measure of entanglement, the 4 linking matrix, for a collection of closed or open chains in 3-space. Periodic Boundary Conditions 5 (PBC) are often used in the simulation of physical systems of filaments. Using the periodic linking 6 number, defined in [24], we define the periodic linking matrix to study entanglement of closed or 7 open chains in systems employing PBC. We study the properties of the periodic linking matrix as a 8 function of cell size. We provide analytical results concerning the eigenvalues of the periodic linking 9 matrix and show that some of them are invariant of cell-size. 10
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