Dimensional ensemble and (topological) fracton thermodynamics: the slow route to equilibrium

The use of the dimensional-ensemble becomes compulsory when spatial dimensions are not well defined. Consequently, apart from temperature, thermodynamic equilibrium requires an additional configurational parameter. Two representative cases are considered in detail: oscillators with undefined spatial dimension and topological fractons. Spatial dimension and energy are determined as a function of temperature in both cases. At low temperatures, specific heat behaves exponentially, meaning it creates a slow route to equilibrium. In accordance with experiments, calculations suggest that the spatial dimension diminishes when temperature decreases. Parameter values are computed using data obtained from almost two-dimensional graphene and porous compounds.

• Publication year

  2019

• Venue

  Scientific Reports

• Publication date

  2019-09-05

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1038/s41598-019-49141-wPMID 31488851PMCID 6728348
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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