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ISSN 2063-5346
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COMPUTATION OF COMPLEXITY FOR THE STRUCTURAL GLASS TRANSITION USING THE REPLICA FIELD APPROACH

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Trideep Rajbhar1, Raj Kumar Gupta1, Prakash Vardhan2*
» doi: 10.48047/ecb/2023.12.si10.00464

Abstract

We investigate the microscopic replica field theory for the unquenched disordered system. A scenario of spontaneous ergodicity breaking is used to analyse the abrupt decrease in configurational entropy of a many-particle system, in which the free energy landscape of the system divides into many basins of local minima. We make use of the nonlocal free energy functional of Ramakrishnan and Yussouff’s DFT that takes the cubic order of density fluctuation into account. In the present paper, we compute complexity Sc of the deep supercooled liquid state using the replica field theory of Parisi and Monasson. The Kauzmann point ηk is obtained from decline of Sc with increasing density. The model’s calculated Kauzmann point, ηk , agrees with prior studies.

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