Next Article in Journal
Group Sparsity and Graph Regularized Semi-Nonnegative Matrix Factorization with Discriminability for Data Representation
Next Article in Special Issue
Information Landscape and Flux, Mutual Information Rate Decomposition and Connections to Entropy Production
Previous Article in Journal
Information Theory to Probe Intrapartum Fetal Heart Rate Dynamics
Previous Article in Special Issue
On Work and Heat in Time-Dependent Strong Coupling
Article Menu
Issue 12 (December) cover image

Export Article

Open AccessArticle

Magnetic Engine for the Single-Particle Landau Problem

Departamento de Física, Universidad Técnica Federico Santa María, Valparaíso 2340000, Chile
Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago 8320000, Chile
Instituto de Física, Pontificia Universidad Católica de Valparaíso, Valparaíso 2340000, Chile
Centro para el Desarrollo de la Nanociencia y la Nanotecnología, Santiago 8320000, Chile
Author to whom correspondence should be addressed.
Entropy 2017, 19(12), 639;
Received: 30 September 2017 / Revised: 21 November 2017 / Accepted: 22 November 2017 / Published: 25 November 2017
(This article belongs to the Special Issue Thermodynamics and Statistical Mechanics of Small Systems)
PDF [593 KB, uploaded 25 November 2017]


We study the effect of the degeneracy factor in the energy levels of the well-known Landau problem for a magnetic engine. The scheme of the cycle is composed of two adiabatic processes and two isomagnetic processes, driven by a quasi-static modulation of external magnetic field intensity. We derive the analytical expression of the relation between the magnetic field and temperature along the adiabatic process and, in particular, reproduce the expression for the efficiency as a function of the compression ratio. View Full-Text
Keywords: quantum thermodynamics; degeneracy effects; magnetic quantum engine quantum thermodynamics; degeneracy effects; magnetic quantum engine

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Printed Edition Available!
A printed edition of this Special Issue is available here.

Share & Cite This Article

MDPI and ACS Style

Peña, F.J.; González, A.; Nunez, A.S.; Orellana, P.A.; Rojas, R.G.; Vargas, P. Magnetic Engine for the Single-Particle Landau Problem. Entropy 2017, 19, 639.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top