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Jarzynski equality on work and free energy: Crystal indentation as a case study

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F22%3A00556230" target="_blank" >RIV/61388998:_____/22:00556230 - isvavai.cz</a>

  • Result on the web

    <a href="https://aip.scitation.org/doi/10.1063/5.0071001" target="_blank" >https://aip.scitation.org/doi/10.1063/5.0071001</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/5.0071001" target="_blank" >10.1063/5.0071001</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Jarzynski equality on work and free energy: Crystal indentation as a case study

  • Original language description

    Mathematical relations concerning particle systems require knowledge of the applicability conditions to become physically relevant and not merely formal. We illustrate this fact through the analysis of the Jarzynski equality (JE), whose derivation for Hamiltonian systems suggests that the equilibrium free-energy variations can be computational or experimentally determined in almost any kind of non-equilibrium processes. This apparent generality is surprising in a mechanical theory. Analytically, we show that the quantity called “work” in the Hamiltonian derivation of the JE is neither a thermodynamic quantity nor mechanical work, except in special circumstances to be singularly assessed. Through molecular dynamics simulations of elastic and plastic deformations induced via nano-indentation of crystalline surfaces that fall within the formal framework of the JE, we illustrate that the JE cannot be verified and that the results of this verification are process dependent.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10303 - Particles and field physics

Result continuities

  • Project

    <a href="/en/project/EF15_003%2F0000493" target="_blank" >EF15_003/0000493: Centre of Excellence for Nonlinear Dynamic Behaviour of Advanced Materials in Engineering</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Chemical Physics

  • ISSN

    0021-9606

  • e-ISSN

    1089-7690

  • Volume of the periodical

    156

  • Issue of the periodical within the volume

    11

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    12

  • Pages from-to

    114118

  • UT code for WoS article

    000779179000009

  • EID of the result in the Scopus database

    2-s2.0-85126860124