%0 Journal Article %T Phase separation of polymer-bound particles induced by loop-mediated one dimensional effective long-range interactions %+ Laboratoire Charles Coulomb (L2C) %+ Arnold Sommerfeld Center for Theoretical Physics [München] (ASC) %+ Vrije Universiteit Amsterdam [Amsterdam] (VU) %+ Laboratory of Pathogen Host Interactions [Montpellier] (LPHI) %A David, Gabriel %A Walter, Jean-Charles %A Broedersz, Chase P. %A Dorignac, Jerome %A Geniet, Frederic %A Parmeggiani, Andrea %A Walliser, Nils-Ole %A Palmeri, John %Z This project received partial financial support from theFrench Agence Nationale de la Recherche [Imaging andModeling Bacterial Mitosis (IBM) Project No. ANR-14-CE09-0025-01], the CNRS Défi Inphyniti (Projet StructurantNo. 2015–2016), and the LabEx NUMEV (ANR-10-LABX-0020) within the I-SITE MUSE of the Université deMontpellier [No. AAP 2013-2-005, No. 2015-2-055, No.2016-1-024, and Flagship Project Gene Expression Modeling(2017–2020)] (G.D., J.C.W., J.D., F.G., A.P., N.O.W., J.P.).G.D. acknowledges doctoral thesis and A.T.E.R postdoctoralsupport from the French Ministère de l’Enseignementsupérieur, de la Recherche et de l’Innovation. This work wassupported in part by a Modélisation pour le Vivant FrenchCNRS Grant (CoilChrom project). This project was alsosupported by the Deutsche Forschungsgemeinschaft (DFG)Grant No. TRR174 (C.P.B.). %< avec comité de lecture %@ 2643-1564 %J Physical Review Research %I American Physical Society %V 2 %N 3 %8 2020-09 %D 2020 %R 10.1103/PhysRevResearch.2.033377 %Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]Journal articles %X The cellular cytoplasm is organized into compartments. Phase separation is a simple manner to create membraneless compartments in order to confine and localize particles like proteins. In many cases, these particles are bound to fluctuating polymers like DNA or RNA. We propose a general theoretical framework for such polymer-bound particles and derive an effective 1D lattice gas model with both nearest-neighbor and emergent long-range interactions arising from looped configurations of the fluctuating polymer. We argue that 1D phase transitions exist in such systems for both Gaussian and self-avoiding polymers and, using a variational method that goes beyond mean-field theory, we obtain the complete mean occupation-temperature phase diagram. To illustrate this model, we apply it to the biologically relevant case of ParABS, a prevalent bacterial DNA segregation system. %G English %2 https://hal.science/hal-02950974/document %2 https://hal.science/hal-02950974/file/David_LRLG_PRR_2020.pdf %L hal-02950974 %U https://hal.science/hal-02950974 %~ CNRS %~ L2C %~ MIPS %~ UNIV-MONTPELLIER %~ LPHI %~ ANR %~ UM-2015-2021