Eintrag weiter verarbeiten
Bemerkungen zur Clausius-Duhem'schen Ungleichung
Gespeichert in:
| Zeitschriftentitel: | Zeitschrift für Naturforschung A |
|---|---|
| Personen und Körperschaften: | |
| In: | Zeitschrift für Naturforschung A, 24, 1969, 12, S. 1989-1996 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Walter de Gruyter GmbH
|
| Schlagwörter: |
| author_facet |
Keller, J Keller, J |
|---|---|
| author |
Keller, J |
| spellingShingle |
Keller, J Zeitschrift für Naturforschung A Bemerkungen zur Clausius-Duhem'schen Ungleichung Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics |
| author_sort |
keller, j |
| spelling |
Keller, J 1865-7109 0932-0784 Walter de Gruyter GmbH Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics http://dx.doi.org/10.1515/zna-1969-1220 <jats:p>Within the framework of the Entropy-free Thermodynamic of Processes (ETIP) developed by J. Meixner, it is investigated for what type of fluid or solid systems the Clausius-Duhem-Inequality (CDI) will hold for the thermostatic entropy s<jats:sub>th</jats:sub>. The following statements will be proved: </jats:p> <jats:p>1. The CDI holds for processes in simple thermodynamic systems of the differential type with complexity 1 or 2. In these cases the CDI is a consequence of the fundamental inequality of ETIP. </jats:p> <jats:p>2. The CDI cannot hold for processes in simple thermodynamic systems of the integral type with complexity 1. </jats:p> <jats:p>3. The CDI may or may not hold for processes in simple thermodynamic systems of the integral type with complexity 2. </jats:p> Bemerkungen zur Clausius-Duhem'schen Ungleichung Zeitschrift für Naturforschung A |
| doi_str_mv |
10.1515/zna-1969-1220 |
| facet_avail |
Online Free |
| finc_class_facet |
Mathematik Chemie und Pharmazie Physik |
| format |
ElectronicArticle |
| fullrecord |
blob:ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUxNS96bmEtMTk2OS0xMjIw |
| id |
ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUxNS96bmEtMTk2OS0xMjIw |
| institution |
DE-Zi4 DE-Gla1 DE-15 DE-Pl11 DE-Rs1 DE-14 DE-105 DE-Ch1 DE-L229 DE-D275 DE-Bn3 DE-Brt1 DE-Zwi2 DE-D161 |
| imprint |
Walter de Gruyter GmbH, 1969 |
| imprint_str_mv |
Walter de Gruyter GmbH, 1969 |
| issn |
1865-7109 0932-0784 |
| issn_str_mv |
1865-7109 0932-0784 |
| language |
English |
| mega_collection |
Walter de Gruyter GmbH (CrossRef) |
| match_str |
keller1969bemerkungenzurclausiusduhemschenungleichung |
| publishDateSort |
1969 |
| publisher |
Walter de Gruyter GmbH |
| recordtype |
ai |
| record_format |
ai |
| series |
Zeitschrift für Naturforschung A |
| source_id |
49 |
| title |
Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_unstemmed |
Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_full |
Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_fullStr |
Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_full_unstemmed |
Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_short |
Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_sort |
bemerkungen zur clausius-duhem'schen ungleichung |
| topic |
Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics |
| url |
http://dx.doi.org/10.1515/zna-1969-1220 |
| publishDate |
1969 |
| physical |
1989-1996 |
| description |
<jats:p>Within the framework of the Entropy-free Thermodynamic of Processes (ETIP) developed by J. Meixner, it is investigated for what type of fluid or solid systems the Clausius-Duhem-Inequality (CDI) will hold for the thermostatic entropy s<jats:sub>th</jats:sub>. The following statements will be proved: </jats:p>
<jats:p>1. The CDI holds for processes in simple thermodynamic systems of the differential type with complexity 1 or 2. In these cases the CDI is a consequence of the fundamental inequality of ETIP. </jats:p>
<jats:p>2. The CDI cannot hold for processes in simple thermodynamic systems of the integral type with complexity 1. </jats:p>
<jats:p>3. The CDI may or may not hold for processes in simple thermodynamic systems of the integral type with complexity 2. </jats:p> |
| container_issue |
12 |
| container_start_page |
1989 |
| container_title |
Zeitschrift für Naturforschung A |
| container_volume |
24 |
| format_de105 |
Article, E-Article |
| format_de14 |
Article, E-Article |
| format_de15 |
Article, E-Article |
| format_de520 |
Article, E-Article |
| format_de540 |
Article, E-Article |
| format_dech1 |
Article, E-Article |
| format_ded117 |
Article, E-Article |
| format_degla1 |
E-Article |
| format_del152 |
Buch |
| format_del189 |
Article, E-Article |
| format_dezi4 |
Article |
| format_dezwi2 |
Article, E-Article |
| format_finc |
Article, E-Article |
| format_nrw |
Article, E-Article |
| _version_ |
1792328699573436427 |
| geogr_code |
not assigned |
| last_indexed |
2024-03-01T12:57:08.481Z |
| geogr_code_person |
not assigned |
| openURL |
url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fvufind.svn.sourceforge.net%3Agenerator&rft.title=Bemerkungen+zur+Clausius-Duhem%27schen+Ungleichung&rft.date=1969-12-01&genre=article&issn=0932-0784&volume=24&issue=12&spage=1989&epage=1996&pages=1989-1996&jtitle=Zeitschrift+f%C3%BCr+Naturforschung+A&atitle=Bemerkungen+zur+Clausius-Duhem%27schen+Ungleichung&aulast=Keller&aufirst=J&rft_id=info%3Adoi%2F10.1515%2Fzna-1969-1220&rft.language%5B0%5D=eng |
| SOLR | |
| _version_ | 1792328699573436427 |
| author | Keller, J |
| author_facet | Keller, J, Keller, J |
| author_sort | keller, j |
| container_issue | 12 |
| container_start_page | 1989 |
| container_title | Zeitschrift für Naturforschung A |
| container_volume | 24 |
| description | <jats:p>Within the framework of the Entropy-free Thermodynamic of Processes (ETIP) developed by J. Meixner, it is investigated for what type of fluid or solid systems the Clausius-Duhem-Inequality (CDI) will hold for the thermostatic entropy s<jats:sub>th</jats:sub>. The following statements will be proved: </jats:p> <jats:p>1. The CDI holds for processes in simple thermodynamic systems of the differential type with complexity 1 or 2. In these cases the CDI is a consequence of the fundamental inequality of ETIP. </jats:p> <jats:p>2. The CDI cannot hold for processes in simple thermodynamic systems of the integral type with complexity 1. </jats:p> <jats:p>3. The CDI may or may not hold for processes in simple thermodynamic systems of the integral type with complexity 2. </jats:p> |
| doi_str_mv | 10.1515/zna-1969-1220 |
| facet_avail | Online, Free |
| finc_class_facet | Mathematik, Chemie und Pharmazie, Physik |
| format | ElectronicArticle |
| format_de105 | Article, E-Article |
| format_de14 | Article, E-Article |
| format_de15 | Article, E-Article |
| format_de520 | Article, E-Article |
| format_de540 | Article, E-Article |
| format_dech1 | Article, E-Article |
| format_ded117 | Article, E-Article |
| format_degla1 | E-Article |
| format_del152 | Buch |
| format_del189 | Article, E-Article |
| format_dezi4 | Article |
| format_dezwi2 | Article, E-Article |
| format_finc | Article, E-Article |
| format_nrw | Article, E-Article |
| geogr_code | not assigned |
| geogr_code_person | not assigned |
| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUxNS96bmEtMTk2OS0xMjIw |
| imprint | Walter de Gruyter GmbH, 1969 |
| imprint_str_mv | Walter de Gruyter GmbH, 1969 |
| institution | DE-Zi4, DE-Gla1, DE-15, DE-Pl11, DE-Rs1, DE-14, DE-105, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161 |
| issn | 1865-7109, 0932-0784 |
| issn_str_mv | 1865-7109, 0932-0784 |
| language | English |
| last_indexed | 2024-03-01T12:57:08.481Z |
| match_str | keller1969bemerkungenzurclausiusduhemschenungleichung |
| mega_collection | Walter de Gruyter GmbH (CrossRef) |
| physical | 1989-1996 |
| publishDate | 1969 |
| publishDateSort | 1969 |
| publisher | Walter de Gruyter GmbH |
| record_format | ai |
| recordtype | ai |
| series | Zeitschrift für Naturforschung A |
| source_id | 49 |
| spelling | Keller, J 1865-7109 0932-0784 Walter de Gruyter GmbH Physical and Theoretical Chemistry General Physics and Astronomy Mathematical Physics http://dx.doi.org/10.1515/zna-1969-1220 <jats:p>Within the framework of the Entropy-free Thermodynamic of Processes (ETIP) developed by J. Meixner, it is investigated for what type of fluid or solid systems the Clausius-Duhem-Inequality (CDI) will hold for the thermostatic entropy s<jats:sub>th</jats:sub>. The following statements will be proved: </jats:p> <jats:p>1. The CDI holds for processes in simple thermodynamic systems of the differential type with complexity 1 or 2. In these cases the CDI is a consequence of the fundamental inequality of ETIP. </jats:p> <jats:p>2. The CDI cannot hold for processes in simple thermodynamic systems of the integral type with complexity 1. </jats:p> <jats:p>3. The CDI may or may not hold for processes in simple thermodynamic systems of the integral type with complexity 2. </jats:p> Bemerkungen zur Clausius-Duhem'schen Ungleichung Zeitschrift für Naturforschung A |
| spellingShingle | Keller, J, Zeitschrift für Naturforschung A, Bemerkungen zur Clausius-Duhem'schen Ungleichung, Physical and Theoretical Chemistry, General Physics and Astronomy, Mathematical Physics |
| title | Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_full | Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_fullStr | Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_full_unstemmed | Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_short | Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| title_sort | bemerkungen zur clausius-duhem'schen ungleichung |
| title_unstemmed | Bemerkungen zur Clausius-Duhem'schen Ungleichung |
| topic | Physical and Theoretical Chemistry, General Physics and Astronomy, Mathematical Physics |
| url | http://dx.doi.org/10.1515/zna-1969-1220 |