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Updated: Jul 14, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Discretized diffusion processes
Ciliberti1, Caldarelli, De Los Rios P
1INFM Sezione di ROMA1 Dipartimento Fisica, Universita di Roma "La Sapienza," Piazzale Aldo Moro 2, 00185 Roma, Italy.
Abstract:
We study the properties of the "rigid Laplacian" operator; that is we consider solutions of the Laplacian equation in the presence of fixed truncation errors. The dynamics of convergence to the correct analytical solution displays the presence of a metastable set of numerical solutions, whose presence can be related to granularity. We provide some scaling analysis in order to determine the value of the exponents characterizing the process. We believe that this prototype model is also suitable to provide an explanation of the widespread presence of power law in a social and economic system where information and decision diffuse, with errors and delay from agent to agent.
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