Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles
- Publikationstyp:
- Zeitschriftenaufsatz
- Metadaten:
-
- Autoren
- Thomas Speck
- Andreas M Menzel
- Julian Bialke
- Hartmut Loewen
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000356176600011&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1063/1.4922324
- eISSN
- 1089-7690
- Externe Identifier
- Clarivate Analytics Document Solution ID: CK4FG
- PubMed Identifier: 26071703
- ISSN
- 0021-9606
- Ausgabe der Veröffentlichung
- 22
- Zeitschrift
- JOURNAL OF CHEMICAL PHYSICS
- Artikelnummer
- ARTN 224109
- Datum der Veröffentlichung
- 2015
- Status
- Published
- Titel
- Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles
- Sub types
- Article
- Ausgabe der Zeitschrift
- 142
Datenquelle: Web of Science (Lite)
- Andere Metadatenquellen:
-
- Abstract
- <jats:p>Recently, we have derived an effective Cahn-Hilliard equation for the phase separation dynamics of active Brownian particles by performing a weakly non-linear analysis of the effective hydrodynamic equations for density and polarization [Speck et al., Phys. Rev. Lett. 112, 218304 (2014)]. Here, we develop and explore this strategy in more detail and show explicitly how to get to such a large-scale, mean-field description starting from the microscopic dynamics. The effective free energy emerging from this approach has the form of a conventional Ginzburg-Landau function. On the coarsest scale, our results thus agree with the mapping of active phase separation onto that of passive fluids with attractive interactions through a global effective free energy (motility-induced phase transition). Particular attention is paid to the square-gradient term necessary for the phase separation kinetics. We finally discuss results from numerical simulations corroborating the analytical results.</jats:p>
- Autoren
- Thomas Speck
- Andreas M Menzel
- Julian Bialké
- Hartmut Löwen
- DOI
- 10.1063/1.4922324
- eISSN
- 1089-7690
- ISSN
- 0021-9606
- Ausgabe der Veröffentlichung
- 22
- Zeitschrift
- The Journal of Chemical Physics
- Sprache
- en
- Online publication date
- 2015
- Datum der Veröffentlichung
- 2015
- Status
- Published
- Herausgeber
- AIP Publishing
- Herausgeber URL
- http://dx.doi.org/10.1063/1.4922324
- Datum der Datenerfassung
- 2023
- Titel
- Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles
- Ausgabe der Zeitschrift
- 142
Datenquelle: Crossref
- Abstract
- Recently, we have derived an effective Cahn-Hilliard equation for the phase separation dynamics of active Brownian particles by performing a weakly non-linear analysis of the effective hydrodynamic equations for density and polarization [Speck et al., Phys. Rev. Lett. 112, 218304 (2014)]. Here, we develop and explore this strategy in more detail and show explicitly how to get to such a large-scale, mean-field description starting from the microscopic dynamics. The effective free energy emerging from this approach has the form of a conventional Ginzburg-Landau function. On the coarsest scale, our results thus agree with the mapping of active phase separation onto that of passive fluids with attractive interactions through a global effective free energy (motility-induced phase transition). Particular attention is paid to the square-gradient term necessary for the phase separation kinetics. We finally discuss results from numerical simulations corroborating the analytical results.
- Addresses
- Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg 7-9, 55128 Mainz, Germany.
- Autoren
- Thomas Speck
- Andreas M Menzel
- Julian Bialké
- Hartmut Löwen
- DOI
- 10.1063/1.4922324
- eISSN
- 1089-7690
- Externe Identifier
- PubMed Identifier: 26071703
- Funding acknowledgements
- Deutsche Forschungsgemeinschaft: LO 418/17-1
- Deutsche Forschungsgemeinschaft: ME 3571/2-1
- Deutsche Forschungsgemeinschaft: SP 1382/3-1
- Open access
- false
- ISSN
- 0021-9606
- Ausgabe der Veröffentlichung
- 22
- Zeitschrift
- The Journal of chemical physics
- Sprache
- eng
- Medium
- Paginierung
- 224109
- Datum der Veröffentlichung
- 2015
- Status
- Published
- Datum der Datenerfassung
- 2015
- Titel
- Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles.
- Sub types
- Journal Article
- Ausgabe der Zeitschrift
- 142
Datenquelle: Europe PubMed Central
- Abstract
- Recently, we have derived an effective Cahn-Hilliard equation for the phase separation dynamics of active Brownian particles by performing a weakly non-linear analysis of the effective hydrodynamic equations for density and polarization [Speck et al., Phys. Rev. Lett. 112, 218304 (2014)]. Here, we develop and explore this strategy in more detail and show explicitly how to get to such a large-scale, mean-field description starting from the microscopic dynamics. The effective free energy emerging from this approach has the form of a conventional Ginzburg-Landau function. On the coarsest scale, our results thus agree with the mapping of active phase separation onto that of passive fluids with attractive interactions through a global effective free energy (motility-induced phase transition). Particular attention is paid to the square-gradient term necessary for the phase separation kinetics. We finally discuss results from numerical simulations corroborating the analytical results.
- Autoren
- Thomas Speck
- Andreas M Menzel
- Julian Bialké
- Hartmut Löwen
- Autoren-URL
- https://www.ncbi.nlm.nih.gov/pubmed/26071703
- DOI
- 10.1063/1.4922324
- eISSN
- 1089-7690
- Ausgabe der Veröffentlichung
- 22
- Zeitschrift
- J Chem Phys
- Sprache
- eng
- Country
- United States
- Paginierung
- 224109
- Datum der Veröffentlichung
- 2015
- Status
- Published
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2015
- Titel
- Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles.
- Sub types
- Journal Article
- Ausgabe der Zeitschrift
- 142
Datenquelle: PubMed
- Abstract
- Recently, we have derived an effective Cahn-Hilliard equation for the phase separation dynamics of active Brownian particles by performing a weakly non-linear analysis of the effective hydrodynamic equations for density and polarization [Phys. Rev. Lett. 112, 218304 (2014)]. Here we develop and explore this strategy in more detail and show explicitly how to get to such a large-scale, mean-field description starting from the microscopic dynamics. The effective free energy emerging from this approach has the form of a conventional Ginzburg-Landau function. On the coarsest scale, our results thus agree with the mapping of active phase separation onto that of passive fluids with attractive interactions through a global effective free energy (mobility-induced phase transition). Particular attention is paid to the square-gradient term necessary for the dynamics. We finally discuss results from numerical simulations corroborating the analytical results.
- Autoren
- Thomas Speck
- Andreas M Menzel
- Julian Bialké
- Hartmut Löwen
- Autoren-URL
- http://arxiv.org/abs/1503.08412v1
- Zeitschrift
- J. Chem. Phys.
- Schlüsselwörter
- cond-mat.stat-mech
- cond-mat.stat-mech
- cond-mat.soft
- Paginierung
- 224109
- Datum der Veröffentlichung
- 2015
- Herausgeber URL
- http://dx.doi.org/10.1063/1.4922324
- Datum der Datenerfassung
- 2015
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2015
- Titel
- Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles
- Ausgabe der Zeitschrift
- 142
Files
1503.08412v1.pdf
Datenquelle: arXiv
- Beziehungen:
- Eigentum von