{"work":{"id":"83daa3cc-5c3f-413f-a4af-168b6f8c547d","openalex_id":"https://openalex.org/W2135568812","doi":"10.1088/1751-8113/45/47/473001","arxiv_id":"1205.5040","raw_key":null,"title":"Lectures on hydrodynamic fluctuations in relativistic theories","authors":null,"authors_text":"P","year":2012,"venue":"hep-th","abstract":"These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective action for viscous fluids, and the breakdown of the derivative expansion in hydrodynamics.","external_url":"https://arxiv.org/abs/1205.5040","cited_by_count":451,"metadata_source":"pith","metadata_fetched_at":"2026-08-05T02:28:24.338817+00:00","pith_arxiv_id":"1205.5040","created_at":"2026-05-11T11:36:00.902583+00:00","updated_at":"2026-08-05T02:28:24.338817+00:00","title_quality_ok":true,"display_title":"Lectures on hydrodynamic fluctuations in relativistic theories","render_title":"Lectures on hydrodynamic fluctuations in relativistic theories"},"hub":{"state":{"work_id":"83daa3cc-5c3f-413f-a4af-168b6f8c547d","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":16,"external_cited_by_count":451,"distinct_field_count":3,"first_pith_cited_at":"2025-06-11T06:25:33+00:00","last_pith_cited_at":"2026-07-07T18:00:02+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-08-22T18:49:48.225833+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":3}],"polarity_counts":[{"context_polarity":"background","n":3}],"runs":{},"summary":{},"graph":{},"authors":[]}}