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Transport coefficients from Einstein–Helfand relations using standard and energy-conserving dissipative particle dynamics methods

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985858%3A_____%2F23%3A00571358" target="_blank" >RIV/67985858:_____/23:00571358 - isvavai.cz</a>

  • Alternative codes found

    RIV/44555601:13440/23:43897653

  • Result on the web

    <a href="https://hdl.handle.net/11104/0342599" target="_blank" >https://hdl.handle.net/11104/0342599</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1039/d2cp04838h" target="_blank" >10.1039/d2cp04838h</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Transport coefficients from Einstein–Helfand relations using standard and energy-conserving dissipative particle dynamics methods

  • Original language description

    In this article we demonstrate that contrary to general belief, the standard Einstein-Helfand (EH) formulas are valid for the evaluation of transport coefficients of systems containing dissipative and random forces provided that for these mesoscopic systems: (i) the corresponding conservation laws are satisfied, and (ii) the transition probabilities satisfy detailed balance. Dissipative particle dynamics (DPD) and energy-conserving DPD methods (DPDE), for instance, are archetypical of such mesoscopic approaches satisfying these properties. To verify this statement, we have derived a mesoscopic heat flux form for the DPDE method, suitable for the calculation of the thermal conductivity from an EH expression. We have compared EH measurements against non-equilibrium simulation values for different scenarios, including many-body potentials, and have found excellent agreement in all cases. The expressions are valid notably for systems with density- and temperature-dependent potentials, such as the recently developed generalised DPDE method (GenDPDE) [Avalos et al., Phys. Chem. Chem. Phys., 2019, 21, 24891]. We thus demonstrate that traditional EH formulas in equilibrium simulations can be widely used to obtain transport coefficients, provided that the appropriate expression for the associated flux is used.

  • 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

    10403 - Physical chemistry

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Physical Chemistry Chemical Physics

  • ISSN

    1463-9076

  • e-ISSN

    1463-9084

  • Volume of the periodical

    25

  • Issue of the periodical within the volume

    17

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    16

  • Pages from-to

    12025-12040

  • UT code for WoS article

    000972830600001

  • EID of the result in the Scopus database

    2-s2.0-85153482993