Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2730532409', 'doi': 'https://doi.org/10.1103/physreve.96.013102', 'title': 'Analytical scalings of the linear Richtmyer-Meshkov instability when a rarefaction is reflected', 'display_name': 'Analytical scalings of the linear Richtmyer-Meshkov instability when a rarefaction is reflected', 'publication_year': 2017, 'publication_date': '2017-07-05', 'ids': {'openalex': 'https://openalex.org/W2730532409', 'doi': 'https://doi.org/10.1103/physreve.96.013102', 'mag': '2730532409', 'pmid': 'https://pubmed.ncbi.nlm.nih.gov/29347243'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physreve.96.013102', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210235286', 'display_name': 'Physical review. E', 'issn_l': '2470-0045', 'issn': ['2470-0045', '2470-0053', '2470-0061'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320261', 'host_organization_name': 'American Physical Society', 'host_organization_lineage': ['https://openalex.org/P4310320261'], 'host_organization_lineage_names': ['American Physical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref', 'pubmed'], '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/A5044478724', 'display_name': 'F. Cobos Campos', 'orcid': 'https://orcid.org/0000-0001-5953-4080'}, 'institutions': [{'id': 'https://openalex.org/I79189158', 'display_name': 'University of Castilla-La Mancha', 'ror': 'https://ror.org/05r78ng12', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I79189158']}], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'F. Cobos-Campos', 'raw_affiliation_strings': ['E. T. S. I. Industriales, Instituto de Investigaciones Energéticas and CYTEMA, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain'], 'affiliations': [{'raw_affiliation_string': 'E. T. S. I. Industriales, Instituto de Investigaciones Energéticas and CYTEMA, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain', 'institution_ids': ['https://openalex.org/I79189158']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5085354673', 'display_name': 'J. G. Wouchuk', 'orcid': 'https://orcid.org/0000-0002-2455-3545'}, 'institutions': [{'id': 'https://openalex.org/I79189158', 'display_name': 'University of Castilla-La Mancha', 'ror': 'https://ror.org/05r78ng12', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I79189158']}], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'J. G. Wouchuk', 'raw_affiliation_strings': ['E. T. S. I. Industriales, Instituto de Investigaciones Energéticas and CYTEMA, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain'], 'affiliations': [{'raw_affiliation_string': 'E. T. S. I. Industriales, Instituto de Investigaciones Energéticas and CYTEMA, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain', 'institution_ids': ['https://openalex.org/I79189158']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.551, 'has_fulltext': False, 'cited_by_count': 16, 'citation_normalized_percentile': {'value': 0.798516, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 89, 'max': 90}, 'biblio': {'volume': '96', 'issue': '1', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10384', 'display_name': 'Laser-Plasma Interactions and Diagnostics', 'score': 0.9998, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy 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/T10384', 'display_name': 'Laser-Plasma Interactions and Diagnostics', 'score': 0.9998, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10413', 'display_name': 'High-pressure geophysics and materials', 'score': 0.9906, 'subfield': {'id': 'https://openalex.org/subfields/1908', 'display_name': 'Geophysics'}, 'field': {'id': 'https://openalex.org/fields/19', 'display_name': 'Earth and Planetary Sciences'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10346', 'display_name': 'Magnetic confinement fusion research', 'score': 0.9723, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy 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/richtmyer–meshkov-instability', 'display_name': 'Richtmyer–Meshkov instability', 'score': 0.92175}, {'id': 'https://openalex.org/keywords/rarefaction', 'display_name': 'Rarefaction (ecology)', 'score': 0.66075003}], 'concepts': [{'id': 'https://openalex.org/C12015475', 'wikidata': 'https://www.wikidata.org/wiki/Q3151655', 'display_name': 'Richtmyer–Meshkov instability', 'level': 3, 'score': 0.92175}, {'id': 'https://openalex.org/C207821765', 'wikidata': 'https://www.wikidata.org/wiki/Q405372', 'display_name': 'Instability', 'level': 2, 'score': 0.6893301}, {'id': 'https://openalex.org/C132705693', 'wikidata': 'https://www.wikidata.org/wiki/Q7294543', 'display_name': 'Rarefaction (ecology)', 'level': 3, 'score': 0.66075003}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.6431091}, {'id': 'https://openalex.org/C57879066', 'wikidata': 'https://www.wikidata.org/wiki/Q41217', 'display_name': 'Mechanics', 'level': 1, 'score': 0.43977767}, {'id': 'https://openalex.org/C74650414', 'wikidata': 'https://www.wikidata.org/wiki/Q11397', 'display_name': 'Classical mechanics', 'level': 1, 'score': 0.37122637}, {'id': 'https://openalex.org/C127313418', 'wikidata': 'https://www.wikidata.org/wiki/Q1069', 'display_name': 'Geology', 'level': 0, 'score': 0.10462141}, {'id': 'https://openalex.org/C151730666', 'wikidata': 'https://www.wikidata.org/wiki/Q7205', 'display_name': 'Paleontology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C53565203', 'wikidata': 'https://www.wikidata.org/wiki/Q17146659', 'display_name': 'Species richness', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physreve.96.013102', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210235286', 'display_name': 'Physical review. E', 'issn_l': '2470-0045', 'issn': ['2470-0045', '2470-0053', '2470-0061'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320261', 'host_organization_name': 'American Physical Society', 'host_organization_lineage': ['https://openalex.org/P4310320261'], 'host_organization_lineage_names': ['American Physical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://pubmed.ncbi.nlm.nih.gov/29347243', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306525036', 'display_name': 'PubMed', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1299303238', 'host_organization_name': 'National Institutes of Health', 'host_organization_lineage': ['https://openalex.org/I1299303238'], 'host_organization_lineage_names': ['National Institutes of Health'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.73, 'display_name': 'Affordable and clean energy', 'id': 'https://metadata.un.org/sdg/7'}], 'grants': [{'funder': 'https://openalex.org/F4320321837', 'funder_display_name': 'Ministerio de Economía y Competitividad', 'award_id': 'ENE2013-45661-C2-1-P'}], 'datasets': [], 'versions': [], 'referenced_works_count': 34, 'referenced_works': ['https://openalex.org/W1965386891', 'https://openalex.org/W1978657060', 'https://openalex.org/W1978692199', 'https://openalex.org/W1979765889', 'https://openalex.org/W1983382762', 'https://openalex.org/W1988373261', 'https://openalex.org/W1989702464', 'https://openalex.org/W1993837611', 'https://openalex.org/W1996229240', 'https://openalex.org/W1996828491', 'https://openalex.org/W2006258874', 'https://openalex.org/W2009077440', 'https://openalex.org/W2015517020', 'https://openalex.org/W2031414681', 'https://openalex.org/W2049777253', 'https://openalex.org/W2066915590', 'https://openalex.org/W2074215614', 'https://openalex.org/W2075253830', 'https://openalex.org/W2080330966', 'https://openalex.org/W2084477100', 'https://openalex.org/W2085607839', 'https://openalex.org/W2110265647', 'https://openalex.org/W2125993666', 'https://openalex.org/W2130120235', 'https://openalex.org/W2136104634', 'https://openalex.org/W2150338268', 'https://openalex.org/W2162385003', 'https://openalex.org/W2322634019', 'https://openalex.org/W2405502010', 'https://openalex.org/W2460241525', 'https://openalex.org/W2547429473', 'https://openalex.org/W305332711', 'https://openalex.org/W4245728816', 'https://openalex.org/W4300223101'], 'related_works': ['https://openalex.org/W4388906075', 'https://openalex.org/W4360831052', 'https://openalex.org/W286219517', 'https://openalex.org/W2367904468', 'https://openalex.org/W2323790476', 'https://openalex.org/W2019450749', 'https://openalex.org/W2006258874', 'https://openalex.org/W1972352295', 'https://openalex.org/W1670660407', 'https://openalex.org/W1664649286'], 'abstract_inverted_index': {'The': [0, 73, 101, 159, 172, 210, 235, 269], 'Richtmyer-Meshkov': [1], 'instability': [2], 'for': [3, 30, 61, 145, 151], 'the': [4, 15, 18, 22, 31, 44, 62, 67, 78, 82, 88, 92, 97, 112, 116, 121, 129, 141, 146, 155, 169, 177, 191, 200, 238, 280], 'case': [5], 'of': [6, 17, 43, 66, 77, 128, 154, 168, 176, 190, 214, 237, 272], 'a': [7, 41, 48, 187, 195], 'reflected': [8, 51, 123], 'rarefaction': [9, 83, 98], 'is': [10, 40, 50, 85, 106, 132, 136, 163, 180, 184], 'studied': [11], 'in': [12, 21, 34, 120, 203], 'detail': [13], 'following': [14], 'growth': [16, 104], 'contact': [19, 170], 'surface': [20, 69, 102, 202], 'linear': [23, 117, 239], 'regime': [24], 'and': [25, 96, 216, 219, 221, 229, 245, 274, 282], 'providing': [26], 'explicit': [27], 'analytical': [28, 59, 75], 'expressions': [29, 60, 144], 'asymptotic': [32, 63, 113, 126, 138, 147, 160], 'velocities': [33, 148], 'different': [35], 'physical': [36, 212], 'limits.': [37], 'This': [38], 'work': [39, 247], 'continuation': [42], 'similar': [45], 'problem': [46], 'when': [47], 'shock': [49, 94, 122, 156], '[Phys.': [52], 'Rev.': [53, 264], 'E': [54], '93,': [55], '053111': [56], '(2016)1539-375510.1103/PhysRevE.93.053111].': [57], 'Explicit': [58], 'normal': [64], 'velocity': [65, 161, 178], 'rippled': [68], '(δv_{i}^{∞})': [70], 'are': [71, 149, 226, 233, 241], 'shown.': [72], 'known': [74], 'solution': [76], 'perturbations': [79, 90], 'growing': [80], 'inside': [81, 115, 194], 'fan': [84], 'coupled': [86], 'to': [87, 111, 140, 243], 'pressure': [89], 'between': [91], 'transmitted': [93], 'front': [95], 'trailing': [99], 'edge.': [100], 'ripple': [103], '(ψ_{i})': [105], 'followed': [107], 'from': [108], 't=0+': [109], 'up': [110], 'stage': [114], 'regime.': [118], 'As': [119], 'case,': [124], 'an': [125, 137], 'behavior': [127], 'form': [130], 'ψ_{i}(t)≅ψ_{∞}+δv_{i}^{∞}t': [131], 'observed,': [133], 'where': [134], 'ψ_{∞}': [135, 275], 'ordinate': [139], 'origin.': [142], 'Approximate': [143], 'given': [150], 'arbitrary': [152], 'values': [153], 'Mach': [157], 'number.': [158], 'field': [162, 179], 'calculated': [164], 'at': [165], 'both': [166], 'sides': [167], 'surface.': [171], 'kinetic': [173], 'energy': [174], 'content': [175], 'explicitly': [181], 'calculated.': [182], 'It': [183], 'seen': [185], 'that': [186], 'significant': [188], 'part': [189], 'motion': [192], 'occurs': [193], 'fluid': [196], 'layer': [197], 'very': [198], 'near': [199], 'material': [201], 'good': [204, 277], 'qualitative': [205], 'agreement': [206, 278], 'with': [207, 279], 'recent': [208], 'simulations.': [209], 'important': [211], 'limits': [213], 'weak': [215], 'strong': [217], 'shocks': [218], 'high': [220], 'low': [222], 'preshock': [223], 'density': [224], 'ratio': [225], 'also': [227], 'discussed': [228], 'exact': [230], 'Taylor': [231], 'expansions': [232], 'given.': [234], 'results': [236], 'theory': [240], 'compared': [242], 'simulations': [244], 'experimental': [246, 281], '[R.': [248], 'L.': [249], 'Holmes': [250], 'et': [251, 261], 'al.,': [252, 262], 'J.': [253], 'Fluid': [254], 'Mech.': [255], '389,': [256], '55': [257], '(1999)JFLSA70022-112010.1017/S0022112099004838;': [258], 'C.': [259], 'Mariani': [260], 'Phys.': [263], 'Lett.': [265], '100,': [266], '254503': [267], '(2008)PRLTAO0031-900710.1103/PhysRevLett.100.254503].': [268], 'theoretical': [270], 'predictions': [271], 'δv_{i}^{∞}': [273], 'show': [276], 'numerical': [283], 'reported': [284], 'values.': [285]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2730532409', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 8}, {'year': 2019, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 2}, {'year': 2017, 'cited_by_count': 1}], 'updated_date': '2024-12-13T09:45:22.640802', 'created_date': '2017-07-14'}