Cargando…

Statistical Mechanics at Strong Coupling: A Bridge between Landsberg’s Energy Levels and Hill’s Nanothermodynamics

We review and show the connection between three different theories proposed for the thermodynamic treatment of systems not obeying the additivity ansatz of classical thermodynamics. In the 1950s, Landsberg proposed that when a system comes into contact with a heat bath, its energy levels are redistr...

Descripción completa

Detalles Bibliográficos
Autores principales: de Miguel, Rodrigo, Rubí, J. Miguel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7764728/
https://www.ncbi.nlm.nih.gov/pubmed/33321739
http://dx.doi.org/10.3390/nano10122471
_version_ 1783628325485281280
author de Miguel, Rodrigo
Rubí, J. Miguel
author_facet de Miguel, Rodrigo
Rubí, J. Miguel
author_sort de Miguel, Rodrigo
collection PubMed
description We review and show the connection between three different theories proposed for the thermodynamic treatment of systems not obeying the additivity ansatz of classical thermodynamics. In the 1950s, Landsberg proposed that when a system comes into contact with a heat bath, its energy levels are redistributed. Based on this idea, he produced an extended thermostatistical framework that accounts for unknown interactions with the environment. A decade later, Hill devised his celebrated nanothermodynamics, where he introduced the concept of subdivision potential, a new thermodynamic variable that accounts for the vanishing additivity of increasingly smaller systems. More recently, a thermostatistical framework at strong coupling has been formulated to account for the presence of the environment through a Hamiltonian of mean force. We show that this modified Hamiltonian yields a temperature-dependent energy landscape as earlier suggested by Landsberg, and it provides a thermostatistical foundation for the subdivision potential, which is the cornerstone of Hill’s nanothermodynamics.
format Online
Article
Text
id pubmed-7764728
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-77647282020-12-27 Statistical Mechanics at Strong Coupling: A Bridge between Landsberg’s Energy Levels and Hill’s Nanothermodynamics de Miguel, Rodrigo Rubí, J. Miguel Nanomaterials (Basel) Article We review and show the connection between three different theories proposed for the thermodynamic treatment of systems not obeying the additivity ansatz of classical thermodynamics. In the 1950s, Landsberg proposed that when a system comes into contact with a heat bath, its energy levels are redistributed. Based on this idea, he produced an extended thermostatistical framework that accounts for unknown interactions with the environment. A decade later, Hill devised his celebrated nanothermodynamics, where he introduced the concept of subdivision potential, a new thermodynamic variable that accounts for the vanishing additivity of increasingly smaller systems. More recently, a thermostatistical framework at strong coupling has been formulated to account for the presence of the environment through a Hamiltonian of mean force. We show that this modified Hamiltonian yields a temperature-dependent energy landscape as earlier suggested by Landsberg, and it provides a thermostatistical foundation for the subdivision potential, which is the cornerstone of Hill’s nanothermodynamics. MDPI 2020-12-10 /pmc/articles/PMC7764728/ /pubmed/33321739 http://dx.doi.org/10.3390/nano10122471 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
de Miguel, Rodrigo
Rubí, J. Miguel
Statistical Mechanics at Strong Coupling: A Bridge between Landsberg’s Energy Levels and Hill’s Nanothermodynamics
title Statistical Mechanics at Strong Coupling: A Bridge between Landsberg’s Energy Levels and Hill’s Nanothermodynamics
title_full Statistical Mechanics at Strong Coupling: A Bridge between Landsberg’s Energy Levels and Hill’s Nanothermodynamics
title_fullStr Statistical Mechanics at Strong Coupling: A Bridge between Landsberg’s Energy Levels and Hill’s Nanothermodynamics
title_full_unstemmed Statistical Mechanics at Strong Coupling: A Bridge between Landsberg’s Energy Levels and Hill’s Nanothermodynamics
title_short Statistical Mechanics at Strong Coupling: A Bridge between Landsberg’s Energy Levels and Hill’s Nanothermodynamics
title_sort statistical mechanics at strong coupling: a bridge between landsberg’s energy levels and hill’s nanothermodynamics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7764728/
https://www.ncbi.nlm.nih.gov/pubmed/33321739
http://dx.doi.org/10.3390/nano10122471
work_keys_str_mv AT demiguelrodrigo statisticalmechanicsatstrongcouplingabridgebetweenlandsbergsenergylevelsandhillsnanothermodynamics
AT rubijmiguel statisticalmechanicsatstrongcouplingabridgebetweenlandsbergsenergylevelsandhillsnanothermodynamics