Probing maxwell's demon with a nanoscale thermometer

Justin P. Bergfield, Shauna M. Story, Robert C. Stafford, Charles A Stafford

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

A precise definition for a quantum electron thermometer is given, as an electron reservoir coupled locally (e.g., by tunneling) to a sample, and brought into electrical and thermal equilibrium with it. A realistic model of a scanning thermal microscope with atomic resolution is then developed, including the effect of thermal coupling of the probe to the ambient environment. We show that the temperatures of individual atomic orbitals or bonds in a conjugated molecule with a temperature gradient across it exhibit quantum oscillations, whose origin can be traced to a realization of Maxwell's demon at the single-molecule level. These oscillations may be understood in terms of the rules of covalence describing bonding in π-electron systems. Fourier's law of heat conduction is recovered as the resolution of the temperature probe is reduced, indicating that the macroscopic law emerges as a consequence of coarse graining.

Original languageEnglish (US)
Pages (from-to)4429-4440
Number of pages12
JournalACS Nano
Volume7
Issue number5
DOIs
StatePublished - May 28 2013

Fingerprint

Thermometers
thermometers
Electrons
covalence
temperature probes
Fourier law
oscillations
Molecules
electrons
Heat conduction
conductive heat transfer
Thermal gradients
molecules
temperature gradients
Microscopes
microscopes
Scanning
orbitals
Temperature
scanning

Keywords

  • definition of temperature
  • Fourier's law
  • quantum thermometer
  • rules of covalence
  • scanning thermal microscope (SThM)
  • single-molecule heat transport
  • thermoelectric effects
  • three-terminal heat transport theory

ASJC Scopus subject areas

  • Engineering(all)
  • Materials Science(all)
  • Physics and Astronomy(all)

Cite this

Bergfield, J. P., Story, S. M., Stafford, R. C., & Stafford, C. A. (2013). Probing maxwell's demon with a nanoscale thermometer. ACS Nano, 7(5), 4429-4440. https://doi.org/10.1021/nn401027u

Probing maxwell's demon with a nanoscale thermometer. / Bergfield, Justin P.; Story, Shauna M.; Stafford, Robert C.; Stafford, Charles A.

In: ACS Nano, Vol. 7, No. 5, 28.05.2013, p. 4429-4440.

Research output: Contribution to journalArticle

Bergfield, JP, Story, SM, Stafford, RC & Stafford, CA 2013, 'Probing maxwell's demon with a nanoscale thermometer', ACS Nano, vol. 7, no. 5, pp. 4429-4440. https://doi.org/10.1021/nn401027u
Bergfield, Justin P. ; Story, Shauna M. ; Stafford, Robert C. ; Stafford, Charles A. / Probing maxwell's demon with a nanoscale thermometer. In: ACS Nano. 2013 ; Vol. 7, No. 5. pp. 4429-4440.
@article{845cfb405f804a629a204c312d8308bc,
title = "Probing maxwell's demon with a nanoscale thermometer",
abstract = "A precise definition for a quantum electron thermometer is given, as an electron reservoir coupled locally (e.g., by tunneling) to a sample, and brought into electrical and thermal equilibrium with it. A realistic model of a scanning thermal microscope with atomic resolution is then developed, including the effect of thermal coupling of the probe to the ambient environment. We show that the temperatures of individual atomic orbitals or bonds in a conjugated molecule with a temperature gradient across it exhibit quantum oscillations, whose origin can be traced to a realization of Maxwell's demon at the single-molecule level. These oscillations may be understood in terms of the rules of covalence describing bonding in π-electron systems. Fourier's law of heat conduction is recovered as the resolution of the temperature probe is reduced, indicating that the macroscopic law emerges as a consequence of coarse graining.",
keywords = "definition of temperature, Fourier's law, quantum thermometer, rules of covalence, scanning thermal microscope (SThM), single-molecule heat transport, thermoelectric effects, three-terminal heat transport theory",
author = "Bergfield, {Justin P.} and Story, {Shauna M.} and Stafford, {Robert C.} and Stafford, {Charles A}",
year = "2013",
month = "5",
day = "28",
doi = "10.1021/nn401027u",
language = "English (US)",
volume = "7",
pages = "4429--4440",
journal = "ACS Nano",
issn = "1936-0851",
publisher = "American Chemical Society",
number = "5",

}

TY - JOUR

T1 - Probing maxwell's demon with a nanoscale thermometer

AU - Bergfield, Justin P.

AU - Story, Shauna M.

AU - Stafford, Robert C.

AU - Stafford, Charles A

PY - 2013/5/28

Y1 - 2013/5/28

N2 - A precise definition for a quantum electron thermometer is given, as an electron reservoir coupled locally (e.g., by tunneling) to a sample, and brought into electrical and thermal equilibrium with it. A realistic model of a scanning thermal microscope with atomic resolution is then developed, including the effect of thermal coupling of the probe to the ambient environment. We show that the temperatures of individual atomic orbitals or bonds in a conjugated molecule with a temperature gradient across it exhibit quantum oscillations, whose origin can be traced to a realization of Maxwell's demon at the single-molecule level. These oscillations may be understood in terms of the rules of covalence describing bonding in π-electron systems. Fourier's law of heat conduction is recovered as the resolution of the temperature probe is reduced, indicating that the macroscopic law emerges as a consequence of coarse graining.

AB - A precise definition for a quantum electron thermometer is given, as an electron reservoir coupled locally (e.g., by tunneling) to a sample, and brought into electrical and thermal equilibrium with it. A realistic model of a scanning thermal microscope with atomic resolution is then developed, including the effect of thermal coupling of the probe to the ambient environment. We show that the temperatures of individual atomic orbitals or bonds in a conjugated molecule with a temperature gradient across it exhibit quantum oscillations, whose origin can be traced to a realization of Maxwell's demon at the single-molecule level. These oscillations may be understood in terms of the rules of covalence describing bonding in π-electron systems. Fourier's law of heat conduction is recovered as the resolution of the temperature probe is reduced, indicating that the macroscopic law emerges as a consequence of coarse graining.

KW - definition of temperature

KW - Fourier's law

KW - quantum thermometer

KW - rules of covalence

KW - scanning thermal microscope (SThM)

KW - single-molecule heat transport

KW - thermoelectric effects

KW - three-terminal heat transport theory

UR - http://www.scopus.com/inward/record.url?scp=84878285673&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878285673&partnerID=8YFLogxK

U2 - 10.1021/nn401027u

DO - 10.1021/nn401027u

M3 - Article

C2 - 23651014

AN - SCOPUS:84878285673

VL - 7

SP - 4429

EP - 4440

JO - ACS Nano

JF - ACS Nano

SN - 1936-0851

IS - 5

ER -