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Linear Circuits01:17

Linear Circuits

A linear circuit is characterized by its output having a direct proportionality to its input, adhering to the linearity property, which encompasses the principles of homogeneity (scaling) and additivity. Homogeneity dictates that when the input, also referred to as the excitation, is multiplied by a constant factor, the output, known as the response, is correspondingly scaled by the same constant factor. For instance, if the current is multiplied by a constant 'k,' the voltage likewise...
Heat Flow and Specific Heat01:12

Heat Flow and Specific Heat

Heat is a type of energy transfer that is caused by a temperature difference, and it can change the temperature of an object. Since heat is a form of energy, its SI unit is the joule (J). Another common unit of energy often used for heat is the calorie (cal), which is defined as the energy needed to change the temperature of 1 g of water by 1 °C, specifically between 14.5 °C and 15.5 °C, since the energy needed shows a slight temperature dependence. Another commonly used unit is the kilocalorie...
Source Transformation01:15

Source Transformation

Source transformation is a fundamental technique employed in circuit analysis, offering a valuable tool for simplifying complex electrical circuits. This technique involves the replacement of either a voltage source in series with a resistor by a current source in parallel with a resistor, or vice versa. The key concept here is that when the original sources are deactivated (turned off), the equivalent resistance at the circuit's end terminals remains the same.
It is essential to note that when...
Current Dividers01:10

Current Dividers

In parallel electrical connections, resistors are linked between the same pair of nodes, creating an equal voltage across each resistor. Kirchhoff's current law is applied to these connections, establishing that the sum of currents through these resistors equals the source current. Utilizing Ohm's law, the source current is determined as the product of the source voltage and the sum of the reciprocals of individual resistances. This relationship simplifies the process of finding the current...
Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law (KVL)...
Constant Volume Calorimetry02:41

Constant Volume Calorimetry

Calorimeters are useful to determine the heat released or absorbed by a chemical reaction. Coffee cup calorimeters are designed to operate at constant (atmospheric) pressure and are convenient to measure heat flow (or enthalpy change) accompanying processes that occur in solution at constant pressure. A different type of calorimeter that operates at constant volume, colloquially known as a bomb calorimeter, is used to measure the energy produced by reactions that yield large amounts of heat and...

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Related Experiment Video

Updated: May 18, 2026

Thermal Limits Determination for Zooplankton Using a Heat Block
07:16

Thermal Limits Determination for Zooplankton Using a Heat Block

Published on: November 18, 2022

Heat current limiter and constant heat current source.

Junpeng Wu1, Lei Wang, Baowen Li

  • 1Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary

Researchers developed a novel model demonstrating complete negative differential thermal resistance (NDTR). This breakthrough enables the creation of heat current limiters and constant heat current sources, previously unavailable technologies.

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Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer
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Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer

Published on: April 19, 2021

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Last Updated: May 18, 2026

Thermal Limits Determination for Zooplankton Using a Heat Block
07:16

Thermal Limits Determination for Zooplankton Using a Heat Block

Published on: November 18, 2022

Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer
10:11

Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer

Published on: April 19, 2021

Area of Science:

  • Nonlinear dynamics
  • Thermal transport phenomena
  • Condensed matter physics

Background:

  • Electronic current limiters and constant current sources are well-established technologies.
  • Analogous devices for heat current management, such as heat current limiters and constant heat current sources, are currently lacking.
  • Nonlinear lattices offer potential for novel thermal transport behaviors.

Purpose of the Study:

  • To theoretically and numerically demonstrate a model exhibiting complete negative differential thermal resistance (NDTR).
  • To investigate the feasibility of creating heat current limiters and constant heat current sources based on the NDTR phenomenon.
  • To explore the underlying physics of heat transport in coupled nonlinear lattices.

Main Methods:

  • Numerical simulations were employed to model heat transport.
  • The model combines two nonlinear lattice structures: the Frenkel-Kontorova (FK) lattice and a coupled rotator lattice.
  • Analysis focused on the relationship between heat current and temperature drop across the model.

Main Results:

  • The proposed model exhibits complete negative differential thermal resistance (NDTR) over a wide operational regime.
  • Heat current consistently decreases as the applied temperature drop increases, irrespective of whether the high or low temperature is varied.
  • The model successfully demonstrates the potential to function as either a heat current limiter or a constant heat current source when appropriately configured.

Conclusions:

  • The development of a model with complete NDTR is a significant advancement in thermal management.
  • This work paves the way for the practical realization of heat current limiters and constant heat current sources.
  • The findings highlight the potential of nonlinear lattice dynamics for controlling heat flow.