Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Phase Transitions01:21

Phase Transitions

101
A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
101
Phase Transitions02:31

Phase Transitions

19.0K
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
19.0K
Thermodynamic Potentials01:26

Thermodynamic Potentials

1.7K
Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
1.7K
States of Matter and Phase Changes00:59

States of Matter and Phase Changes

3.6K
The internal energy of a substance—the total kinetic energy of all its molecules and the potential energy of their associated forces—depends on the strength of the intermolecular forces in the condensed phases and the pressure exerted on the substance. The internal energy of a substance is the highest in the gaseous state, the lowest in the solid state, and intermediate in the liquid state. Phase transitions are caused by changes in physical conditions, such as temperature and...
3.6K
Path Between Thermodynamics States01:21

Path Between Thermodynamics States

3.8K
Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
3.8K
Heating and Cooling Curves02:44

Heating and Cooling Curves

23.1K
When a substance—isolated from its environment—is subjected to heat changes, corresponding changes in temperature and phase of the substance is observed; this is graphically represented by heating and cooling curves.
For instance, the addition of heat raises the temperature of a solid; the amount of heat absorbed depends on the heat capacity of the solid (q = mcsolidΔT). According to thermochemistry, the relation between the amount of heat absorbed or released by a substance,...
23.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Luttinger Count is the Homotopy Not the Physical Charge: Generalized Anomalies Characterize Non-Fermi Liquids.

Physical review letters·2026
Same author

Johannes Zaanen (1957-2024).

Science (New York, N.Y.)·2024
Same author

1/4 is the new 1/2 when topology is intertwined with Mottness.

Nature communications·2023
Same author

Pines' demon observed as a 3D acoustic plasmon in Sr<sub>2</sub>RuO<sub>4</sub>.

Nature·2023
Same author

Stranger than metals.

Science (New York, N.Y.)·2022
Same author

Anomalous diffusion and Noether's second theorem.

Physical review. E·2021
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Apr 24, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

10.2K

Divergent thermopower without a quantum phase transition.

Kridsanaphong Limtragool1, Philip W Phillips1

  • 1Department of Physics and Institute for Condensed Matter Theory, University of Illinois, 1110 West Green Street, Urbana, Illinois 61801, USA.

Physical Review Letters
|September 6, 2014
PubMed
Summary
This summary is machine-generated.

This study challenges statistical physics by showing thermopower can diverge with finite correlation length. It provides counterexamples in quantum models, questioning established paradigms in condensed matter physics.

More Related Videos

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
06:26

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets

Published on: May 15, 2017

6.4K
Thermocapillary Convection Space Experiment on the SJ-10 Recoverable Satellite
07:00

Thermocapillary Convection Space Experiment on the SJ-10 Recoverable Satellite

Published on: March 11, 2020

6.7K

Related Experiment Videos

Last Updated: Apr 24, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

10.2K
Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
06:26

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets

Published on: May 15, 2017

6.4K
Thermocapillary Convection Space Experiment on the SJ-10 Recoverable Satellite
07:00

Thermocapillary Convection Space Experiment on the SJ-10 Recoverable Satellite

Published on: March 11, 2020

6.7K

Area of Science:

  • Statistical Physics
  • Condensed Matter Physics
  • Quantum Models

Background:

  • A core principle states that thermodynamic or transport property divergences require diverging correlation length.
  • This principle is fundamental to understanding phase transitions and critical phenomena in physical systems.

Purpose of the Study:

  • To investigate the relationship between correlation length and thermopower divergence in specific quantum models.
  • To challenge the general principle linking correlation length divergence to property divergences.

Main Methods:

  • Explicit calculations were performed on the quantum XY model in d = 1 + 1 dimensions.
  • The Kitaev model in d = 2 + 1 dimensions was also analyzed using explicit calculations.
  • Analysis focused on the conditions under which thermopower diverges or remains finite irrespective of correlation length.

Main Results:

  • Demonstrated that thermopower can diverge even with a finite correlation length in the studied models.
  • Showed that thermopower can remain finite even when the correlation length diverges.
  • Identified two key conditions for these counterexamples: uncorrelated charge carrier sign and group velocity, and a current operator lacking particle interpretation.

Conclusions:

  • The study provides explicit counterexamples to the general principle in statistical physics.
  • Findings suggest that the standard paradigm linking correlation length to property divergences may not universally apply.
  • The results have implications for understanding transport properties in strongly correlated electron matter and recent observations in 2D electron gases.