Fundamental Relation for Gas of Interacting Particles in a Heat Flow

Simple item record

Full item record

dc.contributor.authorHołyst, Robert
dc.contributor.authorMakuch, Karol
dc.contributor.authorGiżyński, Konrad
dc.contributor.authorMaciołek, Anna
dc.contributor.authorŻuk, Paweł J.
dc.contributor.organizationInstitute of Physical Chemistry, Polish Academy of Sciences
dc.contributor.organizationMax-Planck-Institut für Intelligente Systeme Stuttgart, Stuttgart, Germany
dc.contributor.organizationDepartment of Physics, Lancaster University, Lancaster, UK
dc.date.accessioned2025-01-16T12:22:32Z
dc.date.available2025-01-16T12:22:32Z
dc.date.issued2023
dc.description.abstractThere is a long-standing question of whether it is possible to extend the formalism of equilibrium thermodynamics to the case of nonequilibrium systems in steady-states. We have made such an extension for an ideal gas in a heat flow. Here, we investigated whether such a description exists for the system with interactions: the van der Waals gas in a heat flow. We introduced a steady-state fundamental relation and the parameters of state, each associated with a single way of changing energy. The first law of nonequilibrium thermodynamics follows from these parameters. The internal energy U for the nonequilibrium states has the same form as in equilibrium thermodynamics. For the van der Waals gas, 𝑈(𝑆∗,𝑉,𝑁,𝑎∗,𝑏∗) is a function of only five parameters of state (irrespective of the number of parameters characterizing the boundary conditions): the effective entropy 𝑆∗, volume V, number of particles N, and rescaled van der Waals parameters 𝑎∗, 𝑏∗. The state parameters, 𝑎∗, 𝑏∗, together with 𝑆∗, determine the net heat exchange with the environment. The net heat differential does not have an integrating factor. As in equilibrium thermodynamics, the steady-state fundamental equation also leads to the thermodynamic Maxwell relations for measurable steady-state properties.en
dc.identifier.citationHołyst, R.; Makuch, K.; Gi ˙zy ´nski, K.; Maciołek, A.; ˙Zuk, P.J. Fundamental Relation for Gas of Interacting Particles in a Heat Flow. Entropy 2023, 25, 1295. https:// doi.org/10.3390/e25091295
dc.identifier.doi10.3390/e25091295
dc.identifier.urihttps://open.icm.edu.pl/handle/123456789/25268
dc.language.isoen
dc.publisherMDPI
dc.rightsUznanie autorstwa 4.0 Międzynarodoween
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceEntropy
dc.subjectthermodynamicsen
dc.subjectentropyen
dc.subjectsteady-stateen
dc.subjectexcess heaten
dc.subjectnonequilibriaen
dc.titleFundamental Relation for Gas of Interacting Particles in a Heat Flow
dc.typearticle
dc.type.versionpublishedVersion
person.identifier.orcidŻuk, Paweł J. [0000-0003-0555-5913]
person.identifier.orcidHołyst, Robert [0000-0002-3211-4286]
person.identifier.orcidMakuch, Karol [0000-0002-9769-7646]
person.identifier.orcidMaciołek, Anna [0000-0002-2371-4183]
person.identifier.orcidGiżyński, Konrad [0000-0002-3547-1174]
Files for this record
Original bundle
Now showing 1 - 1 of 1
Name: 34.Fundamental Relation for Gas...R.Holyst.pdf
Size: 689.81 KB
Format: Adobe Portable Document Format
Description:
Download
License files
Name: license_rdf
Size: 1019 B
Format: RDF serialized in XML
Description:
Download
Belongs to collection
Artykuły ICHF PAN / IPC PAS Articles