12 papers
Tropical Limit for Configurational Geometry in Discrete Thermodynamic Systems
Koretaka Yuge, Shouno Ohta
For classical discrete systems with constant composition (typically referred to substitutional alloys) under thermodynamically equilibrium state, macroscopic structure should in pr…
Optimal Selection of Structural Degree of Freedoms for Spceial Microscopic States to Characterize Disordered Structures
Koretaka Yuge, Shouno Ohta
For classical discrete systems under constant composition, statistical mechanics tells us that a set of microscopic state dominantly contributing to thermodynamically equilibrium s…
Configurational Geometry Bridges Equilibrium Structure Information from a Single to Multiple Compositions
Shouno Ohta, Ryogo Miyake, Koretaka Yuge
For classical discrete systems under constant composition, a set of microscopic state dominantly contributing to thermodynamically equilibrium structure should depend on temperatur…
Modified Representation of Canonical Average by Special Microscopic States for Classical Discrete Systems
Koretaka Yuge, Shouno Ohta, Ryogo Miyake
For substitutional crystalline solids typically referred to classical discrete system under constant composition, macroscopic structure in thermodynamically equilibrium state can b…
Where Nonlinearity in Thermodynamic Average Comes from? Configurational Geometry Revisited
Koretaka Yuge, Shouno Ohta
For classical discrete system under constant composition, we theoretically examine origin of nonlinearity in thermodynamic (so-called canonical) average w.r.t. many-body interactio…
Microscopic Geometry Rules Ordering Tendency for Multicomponent Disordered Alloys
Koretaka Yuge, Shouno Ohta
Short-range ordering (SRO) tendency for disordered alloys is considered as competition between chemical ordering and geometric (mainly, difference in atomic radius for constituents…