Some Uncommon Thermodynamic Potentials and the “Thermodynamic Equations of State”

Name: Work Video:
Duration: 3 min 30 s
Description: We show that a great many thermodynamic “potentials” may be constructed by applying the Legendre transformation to mixed-representation fundamental equations. We observe that many thermodynamic relations believed to be of special significance may be obtained simply as Maxwell equations from these various potentials.
Roger P. Gordon
{'id': 'https://openalex.org/W2014598126', 'doi': 'https://doi.org/10.1119/1.1976642', 'title': 'Some Uncommon Thermodynamic Potentials and the “Thermodynamic Equations of State”', 'display_name': 'Some Uncommon Thermodynamic Potentials and the “Thermodynamic Equations of State”', 'publication_year': 1971, 'publication_date': '1971-11-01', 'ids': {'openalex': 'https://openalex.org/W2014598126', 'doi': 'https://doi.org/10.1119/1.1976642', 'mag': '2014598126'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1119/1.1976642', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S38866342', 'display_name': 'American Journal of Physics', 'issn_l': '0002-9505', 'issn': ['0002-9505', '1943-2909'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320257', 'host_organization_name': 'American Institute of Physics', 'host_organization_lineage': ['https://openalex.org/P4310320257'], 'host_organization_lineage_names': ['American Institute of Physics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5041236574', 'display_name': 'Roger P. Gordon', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I156071443', 'display_name': 'Upsala College', 'ror': 'https://ror.org/03wbhj477', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I156071443']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Roger P. Gordon', 'raw_affiliation_strings': ['Chemistry Department, Upsala College, East Orange, New Jersey 07019'], 'affiliations': [{'raw_affiliation_string': 'Chemistry Department, Upsala College, East Orange, New Jersey 07019', 'institution_ids': ['https://openalex.org/I156071443']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5041236574'], 'corresponding_institution_ids': ['https://openalex.org/I156071443'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.516, 'has_fulltext': False, 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.491504, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 66, 'max': 70}, 'biblio': {'volume': '39', 'issue': '11', 'first_page': '1295', 'last_page': '1299'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11520', 'display_name': 'Advanced Thermodynamics and Statistical Mechanics', 'score': 0.9425, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11520', 'display_name': 'Advanced Thermodynamics and Statistical Mechanics', 'score': 0.9425, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/thermodynamic-system', 'display_name': 'Thermodynamic system', 'score': 0.8102356}, {'id': 'https://openalex.org/keywords/thermodynamic-state', 'display_name': 'Thermodynamic state', 'score': 0.7185708}, {'id': 'https://openalex.org/keywords/maxwell-relations', 'display_name': 'Maxwell relations', 'score': 0.67005587}, {'id': 'https://openalex.org/keywords/thermodynamic-potential', 'display_name': 'Thermodynamic potential', 'score': 0.66533816}, {'id': 'https://openalex.org/keywords/legendre-transformation', 'display_name': 'Legendre transformation', 'score': 0.6034926}, {'id': 'https://openalex.org/keywords/thermodynamic-beta', 'display_name': 'Thermodynamic beta', 'score': 0.47144923}, {'id': 'https://openalex.org/keywords/representation', 'display_name': 'Representation', 'score': 0.41828892}], 'concepts': [{'id': 'https://openalex.org/C14380042', 'wikidata': 'https://www.wikidata.org/wiki/Q503327', 'display_name': 'Thermodynamic system', 'level': 2, 'score': 0.8102356}, {'id': 'https://openalex.org/C113174994', 'wikidata': 'https://www.wikidata.org/wiki/Q4120602', 'display_name': 'Thermodynamic equations', 'level': 3, 'score': 0.7858207}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.74426645}, {'id': 'https://openalex.org/C12668873', 'wikidata': 'https://www.wikidata.org/wiki/Q230875', 'display_name': 'Thermodynamic state', 'level': 3, 'score': 0.7185708}, {'id': 'https://openalex.org/C105236789', 'wikidata': 'https://www.wikidata.org/wiki/Q213016', 'display_name': 'Thermodynamic process', 'level': 3, 'score': 0.67187476}, {'id': 'https://openalex.org/C159936349', 'wikidata': 'https://www.wikidata.org/wiki/Q187465', 'display_name': 'Maxwell relations', 'level': 5, 'score': 0.67005587}, {'id': 'https://openalex.org/C41607394', 'wikidata': 'https://www.wikidata.org/wiki/Q2420179', 'display_name': 'Thermodynamic potential', 'level': 2, 'score': 0.66533816}, {'id': 'https://openalex.org/C116594300', 'wikidata': 'https://www.wikidata.org/wiki/Q908652', 'display_name': 'Legendre transformation', 'level': 2, 'score': 0.6034926}, {'id': 'https://openalex.org/C204241405', 'wikidata': 'https://www.wikidata.org/wiki/Q461499', 'display_name': 'Transformation (genetics)', 'level': 3, 'score': 0.5685145}, {'id': 'https://openalex.org/C43933239', 'wikidata': 'https://www.wikidata.org/wiki/Q917476', 'display_name': 'Thermodynamic beta', 'level': 5, 'score': 0.47144923}, {'id': 'https://openalex.org/C111458787', 'wikidata': 'https://www.wikidata.org/wiki/Q215405', 'display_name': 'Legendre polynomials', 'level': 2, 'score': 0.42405653}, {'id': 'https://openalex.org/C53810900', 'wikidata': 'https://www.wikidata.org/wiki/Q214967', 'display_name': 'Equation of state', 'level': 2, 'score': 0.42357492}, {'id': 'https://openalex.org/C2776359362', 'wikidata': 'https://www.wikidata.org/wiki/Q2145286', 'display_name': 'Representation (politics)', 'level': 3, 'score': 0.41828892}, {'id': 'https://openalex.org/C131157278', 'wikidata': 'https://www.wikidata.org/wiki/Q51363', 'display_name': 'Thermodynamic equilibrium', 'level': 2, 'score': 0.41764513}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.40872866}, {'id': 'https://openalex.org/C78032018', 'wikidata': 'https://www.wikidata.org/wiki/Q7783160', 'display_name': 'Thermodynamic databases for pure substances', 'level': 4, 'score': 0.36455178}, {'id': 'https://openalex.org/C74650414', 'wikidata': 'https://www.wikidata.org/wiki/Q11397', 'display_name': 'Classical mechanics', 'level': 1, 'score': 0.3561127}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.33721784}, {'id': 'https://openalex.org/C31555180', 'wikidata': 'https://www.wikidata.org/wiki/Q3523867', 'display_name': 'Material properties', 'level': 2, 'score': 0.32277882}, {'id': 'https://openalex.org/C74859849', 'wikidata': 'https://www.wikidata.org/wiki/Q2466686', 'display_name': 'Non-equilibrium thermodynamics', 'level': 2, 'score': 0.28071785}, {'id': 'https://openalex.org/C76969448', 'wikidata': 'https://www.wikidata.org/wiki/Q6033855', 'display_name': 'Inhomogeneous electromagnetic wave equation', 'level': 4, 'score': 0.14583889}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.14415482}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0696781}, {'id': 'https://openalex.org/C28843909', 'wikidata': 'https://www.wikidata.org/wiki/Q177625', 'display_name': 'Electromagnetic field', 'level': 2, 'score': 0.06875843}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C154452299', 'wikidata': 'https://www.wikidata.org/wiki/Q7098853', 'display_name': 'Optical field', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C94625758', 'wikidata': 'https://www.wikidata.org/wiki/Q7163', 'display_name': 'Politics', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1119/1.1976642', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S38866342', 'display_name': 'American Journal of Physics', 'issn_l': '0002-9505', 'issn': ['0002-9505', '1943-2909'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320257', 'host_organization_name': 'American Institute of Physics', 'host_organization_lineage': ['https://openalex.org/P4310320257'], 'host_organization_lineage_names': ['American Institute of Physics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W49371022', 'https://openalex.org/W4231270385', 'https://openalex.org/W4206803299', 'https://openalex.org/W4205569370', 'https://openalex.org/W3217059208', 'https://openalex.org/W2057624117', 'https://openalex.org/W2014598126', 'https://openalex.org/W1576415302', 'https://openalex.org/W1541894467', 'https://openalex.org/W1498391568'], 'abstract_inverted_index': {'We': [0, 20], 'show': [1], 'that': [2, 22], 'a': [3], 'great': [4], 'many': [5, 23], 'thermodynamic': [6, 24], '“potentials”': [7], 'may': [8, 32], 'be': [9, 28, 33], 'constructed': [10], 'by': [11], 'applying': [12], 'the': [13], 'Legendre': [14], 'transformation': [15], 'to': [16, 27], 'mixed-representation': [17], 'fundamental': [18], 'equations.': [19], 'observe': [21], 'relations': [25], 'believed': [26], 'of': [29], 'special': [30], 'significance': [31], 'obtained': [34], 'simply': [35], 'as': [36], 'Maxwell': [37], 'equations': [38], 'from': [39], 'these': [40], 'various': [41], 'potentials.': [42]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2014598126', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}], 'updated_date': '2025-01-11T13:29:02.107495', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
