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Power law relationship between diffusion coefficients in multi-component glass forming liquids

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Abstract.

The slow down of dynamics in glass forming liquids as the glass transition is approached has been characterised through the Adam-Gibbs relation, which relates relaxation time scales to the configurational entropy. The Adam-Gibbs relation cannot apply simultaneously to all relaxation times scales unless they are coupled, and exhibit closely related temperature dependences. The breakdown of the Stokes-Einstein relation presents an interesting situation to the contrary, and in analysing it, it has recently been shown that the Adam-Gibbs relation applies to diffusion coefficients rather than to viscosity or structural relaxation times related to the decay of density fluctuations. However, for multi-component liquids --the typical cases considered in computer simulations, metallic glass formers, etc.-- such a statement raises the question of which diffusion coefficient is described by the Adam-Gibbs relation. All diffusion coefficients can be consistently described by the Adam-Gibbs relation if they bear a power law relationship with each other. Remarkably, we find that for a wide range of glass formers, and for a wide range of temperatures spanning the normal and the slow relaxation regimes, such a relationship holds. We briefly discuss possible rationalisations of the observed behaviour.

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Authors and Affiliations

  1. Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur Campus, 560064, Bengaluru, India

    Anshul D. S. Parmar & Srikanth Sastry

  2. Tata Institute of Fundamental Research, 500107, Hyderabad, Ranga Reddy District, India

    Anshul D. S. Parmar

  3. Department of Fundamental Engineering, Institute of Industrial Science, The University of Tokyo, Komaba 4-6-1, 153-8505, Meguro-ku, Tokyo, Japan

    Shiladitya Sengupta

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  1. Anshul D. S. Parmar
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  2. Shiladitya Sengupta
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  3. Srikanth Sastry
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Correspondence to Srikanth Sastry.

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Parmar, A.D.S., Sengupta, S. & Sastry, S. Power law relationship between diffusion coefficients in multi-component glass forming liquids. Eur. Phys. J. E 41, 90 (2018). https://doi.org/10.1140/epje/i2018-11702-0

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