Abstract

We present arguments for the hypothesis that under some conditions, triple correlations of density fluctuations in fluids can be detected experimentally by the method of molecular spectroscopy. These correlations manifest themselves in the form of the so-called 1.5- (i.e., sesquialteral) scattering. The latter is of most significance in the pre-asymptotic vicinity of the critical point and can be registered along certain thermodynamic paths. Its presence in the overall scattering pattern is demonstrated by our processing experimental data for the depolarization factor. Some consequences of these results are discussed.

Highlights

  • The intensity I of light scattered by a one-component fluid drastically increases as the critical point is approached [1, 2]

  • One could expect that I provides certain information about higher-order correlation functions for the density fluctuations

  • Provided Polyakov’s hypothesis [19] of conformal symmetry of critical fluctuations is valid, the latter is expected to vanish at the critical point. It follows that the recovery of the 1.5-scattering contribution from I and a scrutinized study of its behavior along appropriate thermodynamic paths ending up at the critical point provide a unique opportunity for experimental verification of Polyakov’s hypothesis [19] for systems with scalar order parameters

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Summary

Introduction

The intensity I of light scattered by a one-component fluid drastically increases as the critical point is approached [1, 2]. One could expect that I provides certain information about higher-order correlation functions for the density fluctuations. We support this statement by our results of processing extensive experimental data [13] on the depolarization factor near the critical point. In our view, these results strongly indicate that the 1.5-scattering is noticeably present, under certain conditions, in the overall scattering pattern. It follows that the recovery of the 1.5-scattering contribution from I and a scrutinized study of its behavior along appropriate thermodynamic paths ending up at the critical point provide a unique opportunity for experimental verification of Polyakov’s hypothesis [19] for systems with scalar order parameters

General expression
Theoretical considerations
Data processing
Liquid branch of the coexistence curve
Numerical estimates
Conclusion
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