Related Experiment Video
Updated: May 25, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Ingredients of thermal rectification: the case of classical and quantum self-consistent harmonic chains of
Emmanuel Pereira1, Humberto C F Lemos, Ricardo R Ávila
1Departamento de Física-ICEx, UFMG, CP 702, 30.161-970 Belo Horizonte Minas Gerais, Brazil. emmanuel@fisica.ufmg.br
Abstract:
In order to identify the ingredients of thermal rectification, we analytically investigate the heat flow in the asymmetric classical and quantum self-consistent harmonic chains of oscillators. We confirm the absence of rectification in the classical version of the model, and, for the quantum analog, we show that the combination of a local heat flow proportional to the temperature gradient and a local thermal conductivity dependent on parameters asymmetrically distributed in the chain and on the local temperature lead to thermal rectification. Some of these ingredients are provided by the quantum nature of the specific model analyzed here, but they are not restricted to quantum phenomena and can also appear in anharmonic classical models. The comprehension of such mechanism is important for the advance of phononics, since thermal rectifiers are the basic components of several devices proposed to control the heat flow.
Related Concept Videos
Thermal Electrocyclic Reactions: Stereochemistry
Selection Rules: Thermal Activation
Conjugated systems containing an even number of π-electron pairs undergo a conrotatory ring closure. For example, thermal electrocyclization of (2E,4E)-2,4-hexadiene, a conjugated diene containing two π-electron pairs, gives trans-3,4-dimethylcyclobutene.
RLC Circuit as a Damped Oscillator
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Thermal and Photochemical Electrocyclic Reactions: Overview
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
Zeroth Law of Thermodynamics
Thermal Sigmatropic Reactions: Overview
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...

