On the Divergence of the Perturbation Series for the Excluded-Volume Problem in Polymers

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概要

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• For a lattice polymer on the cubic lattice and for a Gaussian polymer in three dimensional space, it is proved that the square of the expansion factor α is zero for negative real z, the measure of the strength of the intrachain interaction, when the polymer length becomes infinite under the condition that z is kept finite. This fact implies that the perturbation series for α^2(z) is not convergent except at z=0.

• 社団法人日本物理学会の論文
• 1975-07-15

著者

• Oono Yoshitsugu

  Department Of Applied Science Faculty Of Engineering 36 Kyushu University

• Oono Yoshitsugu

  Department of Applied Science, Faculty of Engineering, Kyushu University

関連論文

• Towards the Statistical Mechanics of Chaos
• Three-Body Intrachain Collisions in a Single Polymer Chain
• Steady State Thermodynamics
• On the Divergence of the Perturbation Series for the Excluded-Volume Problem in Polymers. II. : Collapse of a Single Chain in Poor Solvents
• A Renormalization Group Approach and the Phenomenological Theory of a Polymer Chain
• Interdimensional Scaling Law and Polymer
• Onsager's Principle from Large Deviation Point of View : Condensed Matter and Statistical Physics
• On the Unperturbed State of a Polymer Chain
• Large Deviation and Statistical Physics : Complex Dynamics in Nonlinear Systems
• On the Divergence of the Perturbation Series for the Excluded-Volume Problem in Polymers
• Thermal Properties of Copper(II) Chelates of Some 1,5-Alkylpentane-2,4-diones

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