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Related Concept Videos

Maxwell's Thermodynamic Relations01:23

Maxwell's Thermodynamic Relations

Maxwell's thermodynamic relations are very useful in solving problems in thermodynamics. Each of Maxwell's relations relates a partial differential between quantities that can be hard to measure experimentally to a partial differential between quantities that can be easily measured. These relations are a set of equations derivable from the symmetry of the second derivatives and the thermodynamic potentials.
All thermodynamic potentials are exact differentials. Therefore, their second-order...
Maxwell's Equation Of Electromagnetism01:29

Maxwell's Equation Of Electromagnetism

James Clerk Maxwell (1831–1879) was one of the major contributors to physics in the nineteenth century. Although he died young, he made major contributions to the development of the kinetic theory of gases, to the understanding of color vision, and to understanding the nature of Saturn's rings. He is probably best known for having combined existing knowledge on the laws of electricity and magnetism with his insights into a complete overarching electromagnetic theory, which is represented by...
Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and Faraday.
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the problem,...
The Carnot Cycle01:30

The Carnot Cycle

Converting work to heat is an irreversible process, and the purpose of a heat engine is to reverse the effect partially. Heat engines aim to increase the efficiency of the reversal, that is, maximize the work retrieved from heat. If the efficiency of a heat engine were 100%, it would imply reversing the process completely without introducing any other effect. Thus, it would violate the second law of thermodynamics.
What could be the theoretical limit to the efficiency of a heat engine? The...

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Updated: May 30, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Quantum Maxwell's demon in thermodynamic cycles.

H Dong1, D Z Xu, C Y Cai

  • 1Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 30, 2011
PubMed
Summary
This summary is machine-generated.

Maxwell's demon (MD) enhances work output in quantum thermodynamic cycles. Quantum coherence or lower temperatures in the demon boost the system's ability to perform work, validating thermodynamics.

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Area of Science:

  • Thermodynamics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Maxwell's demon (MD) is a thought experiment exploring the limits of the second law of thermodynamics.
  • Classical interpretations often overlook quantum effects and finite-size impacts on thermodynamic cycles.

Purpose of the Study:

  • To investigate the physical mechanism of Maxwell's demon in a quantum thermodynamic cycle.
  • To explore how quantum coherence and temperature differences affect the demon's work enhancement capabilities.
  • To analyze the finite-size effects and validity of the second law in quantum Szilard heat engines.

Main Methods:

  • Modeling the Maxwell's demon as a two-level system (TLS) interacting with a single molecule in a potential well.
  • Describing the thermodynamic cycle processes using quantum mechanics.
  • Evaluating the efficiency of a quantum Szilard heat engine (SHE) under various conditions.

Main Results:

  • A Maxwell's demon with quantum coherence or at a lower temperature than the heat bath enhances the total work output.
  • The demon's key role is driving the system out of equilibrium, creating effective temperature differences.
  • Finite-size effects deviate from classical expectations, particularly for the quantum Szilard heat engine.

Conclusions:

  • Quantum coherence and tailored temperature baths are crucial for enhancing work extraction via Maxwell's demon.
  • The study confirms the second law of thermodynamics even in quantum regimes with finite-size effects.
  • The quantum model provides a deeper understanding of information-driven thermodynamics beyond classical limits.