{"doi":"10.1103/revmodphys.49.435","title":"Theory of dynamic critical phenomena","abstract":"An introductory review of the central ideas in the modern theory of dynamic critical phenomena is followed by a more detailed account of recent developments in the field. The concepts of the conventional theory, mode-coupling, scaling, universality, and the renormalization group are introduced and are illustrated in the context of a simple example---the phase separation of a symmetric binary fluid. The renormalization group is then developed in some detail, and applied to a variety of systems. The main dynamic universality classes are identified and characterized. It is found that the mode-coupling and renormalization group theories successfully explain available experimental data at the critical point of pure fluids, and binary mixtures, and at many magnetic phase transitions, but that a number of discrepancies exist with data at the superfluid transition of $^{4}\\mathrm{He}$.","journal":"Reviews of Modern Physics","year":1977,"id":6800,"datarank":22.97498812024787,"base_score":8.827468112520652,"endowment":8.827468112520652,"self_citation_contribution":1.3241202168780979,"citation_network_contribution":21.65086790336977,"self_endowment_contribution":1.3241202168780979,"citer_contribution":21.65086790336977,"corpus_percentile":94.9,"corpus_rank":1775,"citation_count":6818,"citer_count":198,"citers_with_citation_signal":198,"citers_with_endowment":198,"datacite_reuse_total":0,"is_dataset":false,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"1977-07-01","authors":[{"id":62731,"name":"B. I. Halperin","orcid":null,"position":1,"is_corresponding":false},{"id":62732,"name":"Bertrand I. Halperin","orcid":"0000-0002-6999-1039","position":2,"is_corresponding":false},{"id":62730,"name":"P. C. Hohenberg","orcid":null,"position":0,"is_corresponding":true}],"reference_count":347,"raw_metadata":{"citation_network_status":"fetched"},"created_at":"2026-03-01T18:20:47.508186Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}