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Recent research topics

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Harmonic Diagram in Structural Degree of Freedom (S.D.F)

Motivation: Find a new geometrical connection between microscopic structures in terms of S.D.F.,
        to bridge the gap in macroscopic-property/microscopic-interaction relationships.
[S. Ohta and K. Yuge, in preparation ]






Harmonicity in Structural Degree of Freedom (S.D.F.):
  A Central Key for Structure/Potential-Energy (SPE) Correspondence

Motivation: For classical many-body system, can we obtain a partial set of microscopic structure,
        where Structure in equilibrium state/Potential Energy (SPE) correspondence is almost bijective?
        If so, how we find such special set of microscopic structure?
[K. Yuge, J. Phys. Soc. Jpn. 87, 104802 (2018). ]






Graph Representaion for Configurational Properties

[K. Yuge, J. Phys. Soc. Jpn. 86, 024802 (2017). ]






Projection State

Motivation: To break the curse of dimensionality in classical statistical thermodynamics, can we a priori know
        a special microscopic state to characterize physical quantity in equilibrium states?
[K. Yuge, J. Phys. Soc. Jpn. 85, 024802 (2016). ]
[T. Taikei, T. Kishimoto, K. Takeuchi and K. Yuge, J. Phys. Soc. Jpn. 86, 114802 (2017). ]



Matrix Representation of Canonical Average for discrete systems

Motivation: Can we obtain explicit matrix form of thermodynamic (canonical) average for discrete system at given T?
[K. Yuge, J. Phys. Soc. Jpn. 85, 024802 (2016). ]
[K. Yuge, arXiv:1611.08362 [cond-mat.dis-nn] ]



Structure Integration

Direct determination of partition function Z by decomposing structural degree of freedom.
[K. Takeuchi, R. Tanaka and K. Yuge, J. Phys.: Condens. Matter 27, 385201 (2015).]
[K. Yuge, J. Phys. Soc. Jpn. 84, 084801 (2015). ]



Variable-lattice Generalized Ising Model (VLGIM)

Motivation: GIM Hamiltonian depends on lattice: Linkage for physical quantity on multiple lattices is unclear.
[K. Yuge, Phys. Rev. B 85, 144105 (2012). ]
[K. Yuge et al., Phys. Rev. B 87, 024105 (2013). ]



Joint free energy gain

Motivation: How to universally characterize solubility for coexistence of strong and weak ordering in multicomponent system?
[K. Yuge, Phys. Rev. B 84, 134207 (2011).]




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