2014/08/31 by Koretaka Yuge
Materials Science · Mathematics · Physics and Astronomy · #Classical mechanics #Complex Network Analysis Techniques #Computer science #Constraint (computer-aided design) #Geometry #Lattice (music) #Material Dynamics and Properties #Materials science #Mathematics #Physics #Statistical physics #Theoretical and Computational Physics #Thermodynamic equilibrium #Thermodynamics #cond-mat.dis-nn
paper · pdf · doi:10.7566/jpsj.85.024802
published as J. Phys. Soc. Jpn. 85, 024802 (2016) · 5 pages. Eq. (8) is described by other variables for practical use
arxiv created 2015/09/17 · openalex publication_date 2016/01/12 · arxiv updated 2016/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In classical systems, we reexamine how macroscopic structures in equilibrium state connect with spatial con- straint on the systems: e.g., volume and density as the constraint for liquids in rigid box, and crystal lattice as the constraint for crystalline solids. We reveal that in disordered states, equilibrium macroscopic structure, depend- ing on temperature and on multibody interactions in the system, is characterized by a single special microscopic structure independent of temperature and of interactions. The special microscopic structure depends only on the spatial constraint. We demonstrate the present findings providing (i) significantly efficient and systematic prediction of macroscopic structures for possible combination of constituents in multicomponent systems, and (ii) unique and accurate determination of multibody interactions in given system from measured macroscopic structure, without performing trial-and-error simulation.