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Area of Science:

  • Statistical Mechanics
  • Computational Physics
  • Condensed Matter Physics

Background:

  • Interparticle pair distances traditionally describe many-particle systems.
  • These distances determine pressure and mean energy for simple systems.
  • However, multiple configurations can yield the same pair distance distribution.

Purpose of the Study:

  • To investigate how configuration details are overlooked in many-particle systems.
  • To analyze configurational degeneracy and its implications.
  • To explore the existence of "pair-invisible" interactions.

Main Methods:

  • Analysis of small-system examples with configurational pattern ambiguity.
  • Concentration on large-system classical canonical ensembles.
  • Examination of two-dimensional systems for triangle shape and chirality distribution.
  • Exploration of three-dimensional systems with potential three-particle interactions.

Main Results:

  • Full pair distance specification can still allow for distinct configurational pattern ambiguity.
  • Configurational degeneracy in 2D systems is analyzed, with chirality controlled by three-particle interactions.
  • The existence of three-particle interactions that modify the three-particle distribution function but not the pair distribution function is explored.

Conclusions:

  • Subtle interactions can influence many-particle system configurations in ways not detectable by pair distance analysis.
  • Conventional diffraction experiments may miss crucial information about system structure.
  • Understanding these "pair-invisible" interactions is vital for a complete description of many-particle systems.