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Special Issue "The Landauer Principle and Its Implementations in Physics, Chemistry and Biology: Current Status, Critics and Controversies"

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Thermodynamics".

Deadline for manuscript submissions: 31 October 2023 | Viewed by 2454

Special Issue Editor

Chemical Engineering Department, Engineering Sciences Faculty, Ariel University, Ariel 407000, Israel
Interests: surface science; polymer science; cold plasma technologies; surface characterization
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The Landauer principle, establishing the energy equivalent of information, has remained as a focus of investigations in the last decade. Although non-equilibrium and quantum extensions of the Landauer principle have been reported, the exact meaning and formulation of the principle remain debatable, and both aspects have been the subject of intense discussion. In its strictest, tightest, and simplest meaning, the Landauer principle states that the erasure of one bit of information requires a minimum energy cost equal to kT ln2, where T is the temperature of a thermal reservoir used in the process and k is Boltzmann’s constant. The Landauer principle was also extended to the transmission of information. Recently, the Landauer principle has been intensively criticized. It has been argued that since it is not independent of the second law of thermodynamics, it is either unnecessary or insufficient as an exorcism of Maxwell’s demon. On the other hand, the Landauer principle enables the “informational” reformulation of thermodynamic laws, thus supporting the information paradigm of physics introduced by John Archibald Wheeler.  Thus, the Landauer principle touches the deepest physical roots of exact sciences.

This Special Issue aims to present different approaches to the implementation of the Landauer principle in physics, chemistry and biology. Submissions addressing engineering applications of the Landauer principle are especially welcome. Review papers are encouraged.

Prof. Dr. Edward Bormashenko
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Landauer principle
  • entropy
  • information
  • the second law of thermodynamics

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Published Papers (3 papers)

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Research

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Article
Thermodynamical versus Logical Irreversibility: A Concrete Objection to Landauer’s Principle
Entropy 2023, 25(8), 1155; https://doi.org/10.3390/e25081155 - 01 Aug 2023
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Abstract
Landauer’s principle states that the logical irreversibility of an operation, such as erasing one bit, whatever its physical implementation, necessarily implies its thermodynamical irreversibility. In this paper, a very simple counterexample of physical implementation (that uses a two-to-one relation between logic and thermodynamic [...] Read more.
Landauer’s principle states that the logical irreversibility of an operation, such as erasing one bit, whatever its physical implementation, necessarily implies its thermodynamical irreversibility. In this paper, a very simple counterexample of physical implementation (that uses a two-to-one relation between logic and thermodynamic states) is given that allows one bit to be erased in a thermodynamical quasistatic manner (i.e., one that may tend to be reversible if slowed down enough). Full article
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Article
Dissipation during the Gating Cycle of the Bacterial Mechanosensitive Ion Channel Approaches the Landauer Limit
Entropy 2023, 25(5), 779; https://doi.org/10.3390/e25050779 - 10 May 2023
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Abstract
The Landauer principle sets a thermodynamic bound of kBT ln 2 on the energetic cost of erasing each bit of information. It holds for any memory device, regardless of its physical implementation. It was recently shown that carefully built artificial devices [...] Read more.
The Landauer principle sets a thermodynamic bound of kBT ln 2 on the energetic cost of erasing each bit of information. It holds for any memory device, regardless of its physical implementation. It was recently shown that carefully built artificial devices can attain this bound. In contrast, biological computation-like processes, e.g., DNA replication, transcription and translation use an order of magnitude more than their Landauer minimum. Here, we show that reaching the Landauer bound is nevertheless possible with biological devices. This is achieved using a mechanosensitive channel of small conductance (MscS) from E. coli as a memory bit. MscS is a fast-acting osmolyte release valve adjusting turgor pressure inside the cell. Our patch-clamp experiments and data analysis demonstrate that under a slow switching regime, the heat dissipation in the course of tension-driven gating transitions in MscS closely approaches its Landauer limit. We discuss the biological implications of this physical trait. Full article
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Review

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Review
Landauer Bound and Continuous Phase Transitions
Entropy 2023, 25(7), 984; https://doi.org/10.3390/e25070984 - 28 Jun 2023
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Abstract
In this review, we establish a relation between information erasure and continuous phase transitions. The order parameter, which characterizes these transitions, measures the order of the systems. It varies between 0, when the system is completely disordered, and 1, when the system is [...] Read more.
In this review, we establish a relation between information erasure and continuous phase transitions. The order parameter, which characterizes these transitions, measures the order of the systems. It varies between 0, when the system is completely disordered, and 1, when the system is completely ordered. This ordering process can be seen as information erasure by resetting a certain number of bits to a standard value. The thermodynamic entropy in the partially ordered phase is given by the information-theoretic expression for the generalized Landauer bound in terms of error probability. We will demonstrate this for the Hopfield neural network model of associative memory, where the Landauer bound sets a lower limit for the work associated with ‘remembering’ rather than ‘forgetting’. Using the relation between the Landauer bound and continuous phase transition, we will be able to extend the bound to analog computing systems. In the case of the erasure of an analog variable, the entropy production per degree of freedom is given by the logarithm of the configurational volume measured in units of its minimal quantum. Full article
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