{"doi":"10.17615/d487-wd70","title":"Two-bead microrheology: Modeling protocols","abstract":"Microbead rheology maps the fluctuations of beads immersed in soft matter to viscoelastic properties of the surrounding medium. In this paper, we present modeling extensions of the seminal results of Mason & Weitz (1995, Phys. Rev. Lett. 74) for a single bead and of Crocker et al. (2000, Phys. Rev. Lett. 85) and Levine & Lubensky (2000, Phys. Rev. Lett. 85) for two beads. We formulate the linear response analysis for two beads so that the model equations retain: the local diffusive properties of each bead (through the memory kernel of the shell or depletion zone surrounding each bead), and the nonlocal dynamic moduli of the medium separating the beads (through the memory kernel that transmits fluctuations of one bead to the other). We then derive a 3×3 invertible system of equations relating: an isolated bead’s auto-correlations, the auto- and cross-correlations of two coupled beads; and, the shell radius surrounding each bead, the memory kernels of the shell and of the medium between the two beads.","journal":"UNC Libraries","year":2020,"id":141462,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":0.9507,"is_data_producer":false,"deposit_databanks":null,"is_oa":true,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"2020-01-01","fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":370980,"name":"M. Gregory Forest","orcid":"0000-0002-7718-4456","position":1,"is_corresponding":false},{"id":606969,"name":"Christel Hohenegger","orcid":"0000-0003-2671-440X","position":0,"is_corresponding":true}],"reference_count":0,"raw_metadata":null,"created_at":"2026-07-18T23:17:24.429854Z","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,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}