{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,23]],"date-time":"2025-10-23T05:47:06Z","timestamp":1761198426744,"version":"build-2065373602"},"reference-count":74,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,12,12]],"date-time":"2024-12-12T00:00:00Z","timestamp":1733961600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>A coarse-grained model of a two-dimensional colloidal suspension was designed. The model was athermal and, in addition, a lattice approximation was introduced. It consisted of solvent (monomer) molecules, dimer molecules, and immobile impenetrable obstacles that introduced additional heterogeneity into the system. Dynamic properties were determined by a Monte Carlo simulation using the dynamic lattice liquid simulation algorithm. It is shown that there is a range of obstacle concentrations in which different diffusion characteristics were observed for dimers and solvents. In the system studied, it is possible to define the ranges of concentrations of individual components (solvent, dimers, and obstacles), in which the nature of the movement of dimers and solvents is different (normal diffusion vs. subdiffusion). The ratio of diffusion coefficients of solvent molecules and dimers for short times does not depend on the concentration of obstacles, while for long times, the ratio increases but remains independent of the concentration of the dimer.<\/jats:p>","DOI":"10.3390\/e26121086","type":"journal-article","created":{"date-parts":[[2024,12,12]],"date-time":"2024-12-12T03:52:49Z","timestamp":1733975569000},"page":"1086","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Simulation Studies of Dynamical Heterogeneity in a Dense Two-Dimensional Dimer\u2013Solvent System with Obstacles"],"prefix":"10.3390","volume":"26","author":[{"given":"Piotr","family":"Polanowski","sequence":"first","affiliation":[{"name":"Department of Molecular Physics, Faculty of Chemistry, Lodz University of Technology, Zeromskiego 116, 90-543 Lodz, Poland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4232-6995","authenticated-orcid":false,"given":"Andrzej","family":"Sikorski","sequence":"additional","affiliation":[{"name":"Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"626","DOI":"10.1126\/science.1130146","article-title":"Brownian motion of an ellipsoid","volume":"314","author":"Han","year":"2006","journal-title":"Science"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"17891","DOI":"10.1073\/pnas.1203328109","article-title":"Decoupling of rotational and translational diffusion in supercooled colloidal fluids","volume":"109","author":"Edmond","year":"2012","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"050301","DOI":"10.1103\/PhysRevE.88.050301","article-title":"Brownian motion and the hydrodynamic friction tensor for colloidal particles of complex shape","volume":"88","author":"Kraft","year":"2013","journal-title":"Phys. Rev. E"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"020401","DOI":"10.1103\/PhysRevE.78.020401","article-title":"Static structure of confined dumbbell-sphere colloidal mixtures","volume":"78","year":"2008","journal-title":"Phys. Rev. E"},{"key":"ref_5","first-page":"041126","article-title":"Translational and rotational coupling in Brownian rods near a solid surface","volume":"82","author":"Neild","year":"2010","journal-title":"Phys. Rev. R"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"062311","DOI":"10.1103\/PhysRevE.89.062311","article-title":"Short-time diffusivity of dicolloids","volume":"89","author":"Panczyk","year":"2014","journal-title":"Phys. Rev. E"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"128301","DOI":"10.1103\/PhysRevLett.111.128301","article-title":"Localization dynamics of fluids in random confinement","volume":"111","author":"Skinner","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"258301","DOI":"10.1103\/PhysRevLett.92.258301","article-title":"Anomalous Hydrodynamic interaction in a quasi-two-dimensional suspension","volume":"92","author":"Cui","year":"2004","journal-title":"Phys. Rv. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"158001","DOI":"10.1103\/PhysRevLett.118.158001","article-title":"Two-dimensional melting of colloidal hard spheres","volume":"118","author":"Thorneywork","year":"2017","journal-title":"Phys. Rev. Lett."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"012608","DOI":"10.1103\/PhysRevE.94.012608","article-title":"Short-time dynamics of monomers and dimers in quasi-two-dimensional colloidal mixtures","volume":"94","year":"2016","journal-title":"Phys. Rv. E"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"268301","DOI":"10.1103\/PhysRevLett.115.268301","article-title":"Effect of hydrodynamic interactions on self-diffusion of quasi-two-dimensional colloidal hard spheres","volume":"115","author":"Thorneywork","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1017\/S0033583511000047","article-title":"Continuum simulations of biomembrane dynamics and the importance of hydrodynamic effects","volume":"44","author":"Brown","year":"2011","journal-title":"Q. Rev. Biophys."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Ben-Avraham, D., and Havlin, S. (2000). Diffusion and Reactions in Fractals and Disordered Systems, Cambridge University Press.","DOI":"10.1017\/CBO9780511605826"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0370-1573(00)00070-3","article-title":"The random walk\u2019s guide to anomalous diffusion: A fractional dynamics approach","volume":"339","author":"Metzler","year":"2010","journal-title":"Phys. Rep."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"5675","DOI":"10.1073\/pnas.0712158105","article-title":"Probing microscopic origins of confined subdiffusion by first-passage observables","volume":"105","author":"Condamin","year":"2008","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1063\/PT.3.1677","article-title":"Strange kinetics of single molecules in living cells","volume":"65","author":"Barkai","year":"2012","journal-title":"Phys. Today"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"046602","DOI":"10.1088\/0034-4885\/76\/4\/046602","article-title":"Anomalous transport in the crowded world of biological cells","volume":"76","author":"Franosch","year":"2013","journal-title":"Rep. Prog. Phys."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"038102","DOI":"10.1103\/PhysRevLett.103.038102","article-title":"Elucidating the origin of anomalous diffusion in crowded fluids","volume":"103","author":"Szymanski","year":"2009","journal-title":"Phys. Rev. Lett."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"165901","DOI":"10.1103\/PhysRevLett.96.165901","article-title":"Localization transition of the three-dimensional Lorentz model and continuum percolation","volume":"96","author":"Franosch","year":"2006","journal-title":"Phys. Rev. Lett."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1140\/epjst\/e2010-01313-1","article-title":"The localization transition of the two-dimensional Lorentz model","volume":"189","author":"Bauer","year":"2010","journal-title":"Eur. Phys. J. Spec. Top."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"224901","DOI":"10.1063\/1.4922155","article-title":"Medina-Noyola, M. Localization and dynamical arrest of colloidal fluids in a disordered matrix of polydisperse obstacles","volume":"142","year":"2015","journal-title":"J. Chem. Phys."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1146\/annurev.biophys.37.032807.125817","article-title":"Macromolecular crowding and confinement: Biochemical, biophysical, and potential physiological consequences","volume":"37","author":"Zhou","year":"2008","journal-title":"Annu. Rev. Biophys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"24128","DOI":"10.1039\/C4CP03465A","article-title":"Anomalous diffusion models and their properties: Non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking","volume":"16","author":"Metzler","year":"2014","journal-title":"Phys. Chem. Chem. Phys."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1006\/jmbi.2000.3692","article-title":"Anomalous diffusion of fluorescent probes inside living cell nuclei investigated by spatially-resolved fluorescence correlation spectroscopy","volume":"298","author":"Wachsmuth","year":"2000","journal-title":"J. Mol. Biol."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2257","DOI":"10.1016\/S0006-3495(00)76772-5","article-title":"Lateral diffusion of membrane proteins in the presence of static and dynamic corrals: Suggestions for appropriate observables","volume":"78","author":"Brown","year":"2000","journal-title":"Biophys. J."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2681","DOI":"10.1016\/S0006-3495(02)75277-6","article-title":"Translational diffusion of individual class II MHC membrane proteins in cells","volume":"83","author":"Vrljic","year":"2002","journal-title":"Biophys. J."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"5535","DOI":"10.1039\/B412680G","article-title":"Measurement of diffusion in Langmuir monolayers by single-particle tracking","volume":"6","author":"Selle","year":"2004","journal-title":"Phys. Chem. Chem. Phys."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"3518","DOI":"10.1529\/biophysj.104.044263","article-title":"Anomalous subdiffusion is a measure for cytoplasmic crowding in living cells","volume":"87","author":"Weiss","year":"2004","journal-title":"Biophys. J."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2960","DOI":"10.1529\/biophysj.104.051078","article-title":"Anomalous diffusion of proteins due to molecular crowding","volume":"89","author":"Banks","year":"2005","journal-title":"Biophys. J."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"3584","DOI":"10.1529\/biophysj.104.048009","article-title":"New Fluorescence Correlation Spectroscopy enabling direct observation of spatiotemporal dependence of diffusion constants as an evidence of anomalous transport in extracellular matrices","volume":"88","author":"Masuda","year":"2005","journal-title":"Biophys. J."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1529\/biophysj.106.099267","article-title":"Probing the nanoscale viscoelasticity of intracellular fluids in living cells","volume":"93","author":"Guigas","year":"2007","journal-title":"Biophys. J."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"12650","DOI":"10.1021\/ja902853g","article-title":"Lateral Diffusion of Membrane proteins","volume":"131","author":"Ramadurai","year":"2009","journal-title":"J. Am. Chem. Soc."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1016\/j.bbamem.2008.08.016","article-title":"Lipid lateral diffusion and membrane heterogeneity","volume":"1788","author":"Lindblom","year":"2009","journal-title":"Biochim. Biophys. Acta"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"018102","DOI":"10.1103\/PhysRevLett.103.018102","article-title":"Transient anomalous siffusion of telomeres in the nucleus of mammalian cells","volume":"103","author":"Bronstein","year":"2009","journal-title":"Phys. Rev. Lett."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"2648","DOI":"10.1039\/b924149c","article-title":"Development of anomalous diffusion among crowding proteins","volume":"6","author":"Horton","year":"2010","journal-title":"Soft Matter"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"4028","DOI":"10.1021\/jp910811j","article-title":"Diffusion of \u03b1-chymotrypsin in solution-crowded media. A Fluorescence recovery after photobleaching study","volume":"114","author":"Pastor","year":"2010","journal-title":"J. Phys. Chem. B"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"238102","DOI":"10.1103\/PhysRevLett.104.238102","article-title":"Bacterial chromosomal loci move subdiffusively through a viscoelastic cytoplasm","volume":"104","author":"Weber","year":"2010","journal-title":"Phys. Rev. Lett."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"2226","DOI":"10.1016\/S0006-3495(01)75870-5","article-title":"Anomalous subdiffusion in fluorescence photobleaching recovery: A Monte Carlo study","volume":"81","author":"Saxton","year":"2001","journal-title":"Biophys. J."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.bbabio.2003.09.004","article-title":"Dependence of plastoquinol diffusion on the shape, size, and density of integral thylakoid proteins","volume":"1607","author":"Tremmel","year":"2003","journal-title":"Biochim. Biophys. Acta"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1128\/JB.187.1.45-53.2005","article-title":"Simulated diffusion of phosphorylated CheY through the cytoplasm of Escherichia coli","volume":"187","author":"Lipkow","year":"2005","journal-title":"J. Bacteriol."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1896","DOI":"10.1021\/jp055840k","article-title":"Fluorescence correlation spectroscopy simulations of photophysical phenomena and molecular onteractions:\u2009 A Molecular Dynamics\/Monte Carlo approach","volume":"110","author":"Dix","year":"2006","journal-title":"J. Phys. Chem. B"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"228103","DOI":"10.1103\/PhysRevLett.96.228103","article-title":"Lateral diffusion and percolation in membranes","volume":"96","author":"Sung","year":"2006","journal-title":"Phys. Rev. Lett."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"1178","DOI":"10.1529\/biophysj.106.092619","article-title":"A biological interpretation of transient anomalous subdiffusion. I. Qualitative model","volume":"92","author":"Saxton","year":"2007","journal-title":"Biophys. J."},{"key":"ref_44","first-page":"415","article-title":"Computational study of diffusion in cellular two-dimensional crowed media modeled as mixtures of mobile and immobile obstacles","volume":"53","author":"Isvoran","year":"2008","journal-title":"Rev. Roum. Chim."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"1551","DOI":"10.1529\/biophysj.107.106484","article-title":"Microscopic simulation of membrane molecule diffusion on corralled membrane surfaces","volume":"94","author":"Niehaus","year":"2008","journal-title":"Biophys. J."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"054702","DOI":"10.1063\/1.2823735","article-title":"The effect of matrix structure on the diffusion of fluids in porous media","volume":"128","author":"Sung","year":"2008","journal-title":"J. Chem. Phys."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"1490","DOI":"10.1016\/j.bpj.2010.06.033","article-title":"Two-dimensional continuum percolation threshold for diffusing particles of nonzero radius","volume":"99","author":"Saxton","year":"2010","journal-title":"Biophys. J."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"4886","DOI":"10.1039\/c2sm25220a","article-title":"Fractional Brownian motion in crowded fluids","volume":"8","author":"Ernst","year":"2012","journal-title":"Soft Matter"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"7396","DOI":"10.1039\/c0cp01218a","article-title":"New insights into diffusion in 3D crowded media by Monte Carlo simulations: Effect of size, mobility and spatial distribution of obstacles","volume":"13","author":"Vilaseca","year":"2011","journal-title":"Phys. Chem. Chem. Phys."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"155901","DOI":"10.1103\/PhysRevLett.109.155901","article-title":"Effect of polydispersity on diffusion in random obstacle matrices","volume":"109","author":"Cho","year":"2012","journal-title":"Phys. Rev. Lett."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1039\/C2FD20085F","article-title":"Anomalous and normal diffusion of proteins and lipids in crowded lipid membranes","volume":"161","author":"Javanainen","year":"2013","journal-title":"Faraday Discuss."},{"key":"ref_52","doi-asserted-by":"crossref","unstructured":"Goose, J.E., and Sansom, M.S.P. (2013). Reduced lateral mobility of lipids and proteins in crowded membranes. PLoS Comput. Biol., 9.","DOI":"10.1371\/journal.pcbi.1003033"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1049\/iet-syb.2011.0049","article-title":"Anomalous diffusion and multifractional Brownian motion: Simulating molecular crowding and physical obstacles in systems biology","volume":"6","author":"Leier","year":"2012","journal-title":"IET Syst. Biol."},{"key":"ref_54","doi-asserted-by":"crossref","unstructured":"Renner, M., Domanov, Y., Sandrin, F., Izeddin, I., Bassereau, P., and Triller, A. (2011). Lateral diffusion on tubular membranes: Quantification of measurements Bias. PLoS ONE, 6.","DOI":"10.1371\/journal.pone.0025731"},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"022708","DOI":"10.1103\/PhysRevE.89.022708","article-title":"Anomalous diffusion due to hindering by mobile obstacles undergoing Brownian motion or Orstein-Ulhenbeck processes","volume":"89","author":"Berry","year":"2014","journal-title":"Phys. Rev. E"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"38004","DOI":"10.1209\/0295-5075\/88\/38004","article-title":"Anomalous diffusion in the presence of mobile obstacles","volume":"88","author":"Wedemeier","year":"2009","journal-title":"Europhys. Lett."},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"7529","DOI":"10.1021\/acs.jpcb.6b02682","article-title":"Simulation of molecular transport in systems containing mobile obstacles","volume":"120","author":"Polanowski","year":"2016","journal-title":"J. Phys. Chem. B"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1007\/s00894-019-3968-9","article-title":"Motion in a crowded environment: The influence of obstacles\u2019 size and model of transport","volume":"25","author":"Polanowski","year":"2019","journal-title":"J. Mol. Model."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"5519","DOI":"10.1039\/C6SM00569A","article-title":"Diffusive properties of solvent molecules in the neighborhood of a polymer chain as seen by Monte-Carlo simulations","volume":"12","author":"Kozanecki","year":"2016","journal-title":"Soft Matter"},{"key":"ref_60","doi-asserted-by":"crossref","unstructured":"Ha\u0142agan, K., Duniec, P., Kozanecki, M., and Sikorski, A. (2024). The influence of local constraints on the motion of solvent in polymer materials. Materials, 17.","DOI":"10.3390\/ma17194711"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"10045","DOI":"10.1039\/C9SM01876J","article-title":"Molecular transport in systems containing binding obstacles","volume":"15","author":"Polanowski","year":"2019","journal-title":"Soft Matter"},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"3570","DOI":"10.1103\/PhysRevE.52.3570","article-title":"Role of percolation in diffusion on random lattices","volume":"52","author":"Milchev","year":"1995","journal-title":"Phys. Rev. E"},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1016\/S0009-2614(97)00848-8","article-title":"Thermally activated diffusion along one-dimensional chains with energetic disorder: Analysis of computer simulation data","volume":"276","author":"Berlin","year":"1997","journal-title":"Chem. Phys. Lett."},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"3597","DOI":"10.1039\/c3sm52861h","article-title":"Simulation of diffusion in a crowded environment","volume":"10","author":"Polanowski","year":"2014","journal-title":"Soft Matter"},{"key":"ref_65","doi-asserted-by":"crossref","unstructured":"Polanowski, P., and Sikorski, A. (2020). The concept of cooperative dynamics in simulations of soft matter. Front. Phys., 8.","DOI":"10.3389\/fphy.2020.607480"},{"key":"ref_66","first-page":"021006","article-title":"Protein crowding in lipid bilayers gives rise to non-Gaussian anomalous lateral diffusion of phospholipids and proteins","volume":"6","author":"Jeon","year":"2016","journal-title":"Phys. Rev. X"},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"20427","DOI":"10.1039\/C8CP03212B","article-title":"Fluctuations of random walks in critical random environments","volume":"20","author":"Mardoukhi","year":"2018","journal-title":"Phys. Chem. Chem. Phys."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"11139","DOI":"10.1063\/1.1576214","article-title":"Studies of mobility, interdiffusion, and self-diffusion in two-component mixtures using the dynamic lattice liquid model","volume":"118","author":"Polanowski","year":"2003","journal-title":"J. Chem. Phys."},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"4022","DOI":"10.1063\/1.1495836","article-title":"Studies of polymer conformation and dynamics in two dimensions using simulations based on the Dynamic Lattice Liquid (DLL) model","volume":"117","author":"Polanowski","year":"2002","journal-title":"J. Chem. Phys."},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"4830","DOI":"10.1021\/ma500460b","article-title":"Dynamic properties of linear and cyclic chains in two dimensions. Computer simulation studies","volume":"47","author":"Polanowski","year":"2014","journal-title":"Macromolecules"},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/j.polymer.2017.10.011","article-title":"Growth of polymer brushes by \u201cgrafting from\u201d via ATRP e Monte Carlo simulations","volume":"130","author":"Polanowski","year":"2017","journal-title":"Polymer"},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"125409","DOI":"10.1016\/j.polymer.2022.125409","article-title":"The structure and dynamics of bottlebrushes: Simulation and experimental studies combined","volume":"261","author":"Raj","year":"2022","journal-title":"Polymer"},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"1693","DOI":"10.1039\/C6SM02308H","article-title":"Comparison of different models of motion in a crowded environment. A Monte Carlo study","volume":"13","author":"Polanowski","year":"2017","journal-title":"Soft Matter"},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"042609","DOI":"10.1103\/PhysRevE.101.042609","article-title":"Long-time self-diffusion in quasi-two-dimensional colloidal fluids of paramagnetic particles","volume":"101","author":"Siboni","year":"2020","journal-title":"Phys. Rev. E"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/26\/12\/1086\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T16:53:08Z","timestamp":1760115188000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/26\/12\/1086"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,12]]},"references-count":74,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2024,12]]}},"alternative-id":["e26121086"],"URL":"https:\/\/doi.org\/10.3390\/e26121086","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2024,12,12]]}}}