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Concepts
# 研究内容

研究内容の一部について，そのコンセプトを図解しています．

## Recent research topics

- == Click here. (Japanese ver.) ==

## 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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