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Correlation function decay in linear continuum systems

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  • Ruppeiner, George

Abstract

In this paper, written for the volume commemorating the sixtieth birthday of Michael Fisher, I reexamine the long-range decay of the pair correlation function in one-dimensional continuum models where attractive and repulsive potentials are present together. I argue that the correlation function decay goes effectively from monotonic to oscillatory at a pseudo-phase-transition from a gas-like phase of clusters to a liquid-like phase. Though there is no actual discontinuity, this pseudo-phase-transition resembles an “anomalous first order phase transition”.

Suggested Citation

  • Ruppeiner, George, 1991. "Correlation function decay in linear continuum systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 247-252.
    • Handle: RePEc:eee:phsmap:v:177:y:1991:i:1:p:247-252
    DOI: 10.1016/0378-4371(91)90160-E
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