Polarity formation by a higher order interaction Markov-like chain |
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Authors: | Mathias Rech Athanasios Batagiannis Jürg Hulliger |
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Institution: | 1.Department of Chemistry and Biochemistry,University of Berne,Berne,Switzerland |
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Abstract: | Vector property generation is discussed for chain growth by higher order interactions. Because of a deterministic property
evolution a state space approach was used. Although not strictly Markovian, the system shows ergodic properties and convergence
for a large number of attachment steps. For reasonable interaction energies attributed to increasing order, the main extra
contribution to polarity formation results from interactions up to next nearest neighbours. Nonlinear equations up to third
order were solved by an iterative procedure. |
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