Chapter 2

Minimal length scales for the existence of local temperature

Michael J Hartmann

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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
Pages23-38
Number of pages16
ISBN (Electronic)978-1-78262-203-1
ISBN (Print)978-1-84973-904-7
DOIs
Publication statusPublished - 2016

Publication series

NameRSC Nanoscience and Nanotechnology
Number38
Volume2016-January
ISSN (Print)1757-7136
ISSN (Electronic)1757-7144

Fingerprint

liabilities
Temperature
temperature
estimates
interactions
Hot Temperature

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Bioengineering
  • Atomic and Molecular Physics, and Optics
  • Engineering(all)

Cite this

Hartmann, M. J. (2016). Chapter 2: Minimal length scales for the existence of local temperature. In L. D. Carlos, & F. Palacio (Eds.), Thermometry at the Nanoscale: Techniques and Selected Applications (pp. 23-38). (RSC Nanoscience and Nanotechnology; Vol. 2016-January, No. 38). Royal Society of Chemistry. https://doi.org/10.1039/9781782622031-00023
Hartmann, Michael J. / Chapter 2 : Minimal length scales for the existence of local temperature. Thermometry at the Nanoscale: Techniques and Selected Applications. editor / Luís Dias Carlos ; Fernando Palacio. Royal Society of Chemistry, 2016. pp. 23-38 (RSC Nanoscience and Nanotechnology; 38).
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Hartmann, MJ 2016, Chapter 2: Minimal length scales for the existence of local temperature. in LD Carlos & F Palacio (eds), Thermometry at the Nanoscale: Techniques and Selected Applications. RSC Nanoscience and Nanotechnology, no. 38, vol. 2016-January, Royal Society of Chemistry, pp. 23-38. https://doi.org/10.1039/9781782622031-00023

Chapter 2 : Minimal length scales for the existence of local temperature. / Hartmann, Michael J.

Thermometry at the Nanoscale: Techniques and Selected Applications. ed. / Luís Dias Carlos; Fernando Palacio. Royal Society of Chemistry, 2016. p. 23-38 (RSC Nanoscience and Nanotechnology; Vol. 2016-January, No. 38).

Research output: Chapter in Book/Report/Conference proceedingChapter

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AB - 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.

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Hartmann MJ. Chapter 2: Minimal length scales for the existence of local temperature. In Carlos LD, Palacio F, editors, Thermometry at the Nanoscale: Techniques and Selected Applications. Royal Society of Chemistry. 2016. p. 23-38. (RSC Nanoscience and Nanotechnology; 38). https://doi.org/10.1039/9781782622031-00023