Pole Analysis of the Inter-Replica Correlation Function in a Two-Replica System as a Binary Mixture: Mean Overlap in the Cluster Glass Phase

To investigate the cluster glass phase of ultrasoft particles, we examine an annealed two-replica system endowed with an attractive inter-replica field similar to that of a binary symmetric electrolyte. Leveraging this analogy, we conduct pole analysis on the total correlation functions in the two-r...

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Bibliographic Details
Published inAxioms Vol. 13; no. 7; p. 468
Main Author Frusawa, Hiroshi
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2024
Subjects
Basins
Binary mixtures
cluster glasses
Clusters
Complex systems
Correlation
Electrolytes
Equilibrium
Fourier transforms
Free energy
Gaussian core model
Numerical analysis
pole analysis
Simulation
Spin glasses
two replicas
ultrasoft particles
Japan
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Summary:To investigate the cluster glass phase of ultrasoft particles, we examine an annealed two-replica system endowed with an attractive inter-replica field similar to that of a binary symmetric electrolyte. Leveraging this analogy, we conduct pole analysis on the total correlation functions in the two-replica system where the inter-replica field will eventually be switched off. By synthesizing discussions grounded in the pole analysis with a hierarchical view of the free-energy landscape, we derive an analytical form of the mean overlap between two replicas within the mean field approximation of the Gaussian core model. This formula elucidates novel numerical findings observed in the cluster glass phase.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13070468