Long-Range Interactions in Polymer Melts: The Anti-Casimir Effect

S. P. Obukhov and A. N. Semenov
Phys. Rev. Lett. 95, 038305 – Published 15 July 2005

Abstract

It is well known that small neutral particles normally tend to aggregate due to the van der Waals forces. We discover a new universal long-range interaction between solid objects in polymer media that is directly opposite the van der Waals attraction. The new force could reverse the sign of the net interaction, possibly leading to the net repulsion. This universal repulsion comes from the subtracted soft fluctuation modes, which are not present in the real polymer system, but rather are in its ideal counterpart. The predicted effect has a deep relation to the classical Casimir interactions, providing an unusual example of fluctuation-induced repulsion instead of normal attraction. That is why it is referred to as the anti-Casimir effect. We also find that the correlation function of monomer units in a concentrated solution of infinite polymer chains follows a power-law rather than an exponential decay at large distances.

  • Received 4 March 2004

DOI:https://doi.org/10.1103/PhysRevLett.95.038305

©2005 American Physical Society

Authors & Affiliations

S. P. Obukhov1,2 and A. N. Semenov2

  • 1Department of Physics, University of Florida, Gainesville, Florida, USA
  • 2Institut Charles Sadron, 6 rue Boussingault, 67083 Strasbourg Cedex, France

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Issue

Vol. 95, Iss. 3 — 15 July 2005

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