Chapter 2: Minimal length scales for the existence of local temperature

Michael J Hartmann*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter


We review an approach to determine the minimal spatial length scales on which local temperature exists. We first discuss the precise definition of the existence of local temperature and its physical relevance. The approach to calculate the length scales in question considers homogenous chains of particles with nearest-neighbour interactions. The entire chain is assumed to be in a thermal equilibrium state and it is analysed when such an equilibrium state at the same time exists for a local part of it. The result yields estimates for real materials, the liability of which is discussed.

Original languageEnglish
Title of host publicationThermometry at the Nanoscale
Subtitle of host publicationTechniques and Selected Applications
EditorsLuís Dias Carlos, Fernando Palacio
PublisherRoyal Society of Chemistry
Number of pages16
ISBN (Electronic)978-1-78262-203-1
ISBN (Print)978-1-84973-904-7
Publication statusPublished - 2016

Publication series

NameRSC Nanoscience and Nanotechnology
ISSN (Print)1757-7136
ISSN (Electronic)1757-7144

ASJC Scopus subject areas

  • General Chemistry
  • General Materials Science
  • Bioengineering
  • Atomic and Molecular Physics, and Optics
  • General Engineering


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