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Related Concept Videos

Sound Waves: Resonance01:14

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
Thermal Sigmatropic Reactions: Overview01:16

Thermal Sigmatropic Reactions: Overview

Sigmatropic rearrangements are a class of pericyclic reactions in which a σ bond migrates from one part of a π system to another. These are intramolecular rearrangements where the total number of σ and π bonds remain unchanged.
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in 1,5-hexadiene, referred to as...
Third Law of Thermodynamics02:38

Third Law of Thermodynamics

A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
Thermodynamic Systems01:06

Thermodynamic Systems

A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
Consider an example of  tea boiling in a kettle. The tea and...
Mechanisms of Heat Transfer II01:20

Mechanisms of Heat Transfer II

In convection, thermal energy is carried by the large-scale flow of matter. Ocean currents and large-scale atmospheric circulation, which result from the buoyancy of warm air and water, transfer hot air from the tropics toward the poles and cold air from the poles toward the tropics. The Earth’s rotation interacts with those flows, causing the observed eastward flow of air in the temperate zones. Convection dominates heat transfer by air, and the amount of available space for the airflow...
Energy Bands in Solids01:01

Energy Bands in Solids

Isolated atoms have discrete energy levels that are well described by the Bohr model. And, it quantifies the energy of an electron in a hydrogen atom as En. Higher quantum numbers 'n' yield less negative, closer electron energy levels.
 Band Formation:
When atoms are brought close together, as in a solid, these discrete energy levels begin to split due to the overlap of electron orbitals from adjacent atoms. This split occurs because of the Pauli exclusion principle, which states that no two...

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Correlation lengths of thermal electromagnetic fields in equilibrium and out of equilibrium conditions.

Journal of the Optical Society of America. A, Optics, image science, and vision·2014
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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
12:21

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

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Thermally induced resonances in a three-body system including a solid surface.

Illarion Dorofeyev1

  • 1Institute for Physics of Microstructures RAS, 603950 Nyzhny Novgorod, GSP-105, Russia. Illarion1955@mail.ru

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
PubMed
Summary

Dispersion energy in systems out of equilibrium can significantly increase due to three-body interactions. This resonance effect, driven by close subsystem eigenfrequencies, enhances energy beyond equilibrium states.

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Last Updated: Jun 8, 2026

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
12:21

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Published on: April 4, 2016

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
07:44

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

Characterization of Thermal Transport in One-dimensional Solid Materials
05:20

Characterization of Thermal Transport in One-dimensional Solid Materials

Published on: January 26, 2014

Area of Science:

  • Non-equilibrium thermodynamics
  • Condensed matter physics
  • Quantum chemistry

Background:

  • Understanding energy dynamics in systems with multiple components at different temperatures is crucial.
  • Nonlocal optical effects play a significant role in intermolecular interactions.
  • Equilibrium thermodynamics may not fully describe energy transfer in complex, out-of-equilibrium systems.

Purpose of the Study:

  • To calculate the dispersion energy of a two-molecule-substrate system under different thermal conditions.
  • To investigate the impact of nonlocal optical effects on dispersion energy.
  • To analyze the phenomenon of resonance energy increase in non-equilibrium systems.

Main Methods:

  • Calculation of dispersion energy considering nonlocal optical effects.
  • Analysis of three-body interactions in a system with two molecules and a substrate.
  • Comparison of energy in non-equilibrium versus equilibrium states.

Main Results:

  • A resonance increase in dispersion energy was observed in the out-of-equilibrium system.
  • The dispersion energy of a two-body subsystem can exceed that of the same subsystem in equilibrium.
  • A necessary condition for this resonance increase is the proximity of subsystem eigenfrequencies.

Conclusions:

  • Three-body interactions can lead to a significant, resonance-driven increase in dispersion energy for systems out of equilibrium.
  • The proximity of eigenfrequencies is key to observing this enhanced dispersion energy.
  • Surface nonlocality, influenced by boundary conditions, does not alter the qualitative outcome of resonance magnification in dispersion interactions.