%0 Generic %1 speck2024supplementary %A Speck, Thomas %A Papanikolaou, Nikolaos %D 2024 %K darus ubs_10008 ubs_20014 ubs_30135 ubs_40445 unibibliografie %R 10.18419/darus-4073 %T Supplementary material for `Dynamic renormalization of scalar active field theories` %X The following folders have Jupyter notebook files that are used to obtain the results we present in Section I.1, I.2, III.B, III.C, IV.A and IV.B and Appendix C and D and Figures 9, 10, 11, 13. To calculate the graphical corrections we extensively use the Python package ``restflow'' (https://github.com/us-itp4/restflow). Each folder has one subfolder with figures used in the notebooks. Description of supplementary files 1) tutorials: A folder which illustrates with examples how to use the package ``restflow''. It includes: • model_b_simple.ipynb: A pedagogical tutorial to use restflow for the graphical corrections of the Model B (for the classic case with shifted field) • ckpz.ipynb: A pedagogical tutorial to use restflow for the graphical corrections of the cKPZ • neural.ipynb: A pedagogical tutorial to use restflow for the graphical corrections of a neural field model. It also analyzes the flow equations with the fixed points and plots Fig.11 2) analysis: A folder which is used for the analysis of the Active Model B+ and the Model B with the extra cubic term. It includes: • model_b_noshift.ipynb: calculates the graphical corrections for the Model B without shifting the field (with the b model parameter) (Appendix C). It is used to plot Fig.13 • amb+_graphs.ipynb: calculates the graphical corrections of the Active Model B+ (Appendix D). It also calculates the graphical corrections leading to higher-order terms (Section III.C) • amb+_noshift.ipynb: calculates the flow equations for the Active Model B+ without shifting the field. It also analyzes its fixed points and applies stability analysis (Section III.D.1). It optionally plots the flow equations (figure not shown in manuscript) • amb+_shift.ipynb: calculates the flow equations for the Active Model B+ with shifting the field. It also analyzes its fixed points and applies stability analysis (Section III.D.2). It optionally plots the flow equations (figure not shown in manuscript) 3) simulations: A folder which is used for the flow equations of the modified cKPZ and for the numerical simulations of the stochastic partial differential equation using py-pde. It includes: • modified_ckpz.ipynb: calculates the graphical corrections and analyzes the flow equations for the modified cKPZ of Section IV.A. It plots Fig.9 and simulates the stochastic partial differential equation using py-pde and plots Fig.10 • 3d_4000: A folder of the data of the modified cKPZ using py-pde. It is used for the modified_ckpz.ipynb

@misc{speck2024supplementary, abstract = {The following folders have Jupyter notebook files that are used to obtain the results we present in Section I.1, I.2, III.B, III.C, IV.A and IV.B and Appendix C and D and Figures 9, 10, 11, 13. To calculate the graphical corrections we extensively use the Python package ``restflow'' (https://github.com/us-itp4/restflow). Each folder has one subfolder with figures used in the notebooks. Description of supplementary files 1) tutorials: A folder which illustrates with examples how to use the package ``restflow''. It includes: • model_b_simple.ipynb: A pedagogical tutorial to use restflow for the graphical corrections of the Model B (for the classic case with shifted field) • ckpz.ipynb: A pedagogical tutorial to use restflow for the graphical corrections of the cKPZ • neural.ipynb: A pedagogical tutorial to use restflow for the graphical corrections of a neural field model. It also analyzes the flow equations with the fixed points and plots Fig.11 2) analysis: A folder which is used for the analysis of the Active Model B+ and the Model B with the extra cubic term. It includes: • model_b_noshift.ipynb: calculates the graphical corrections for the Model B without shifting the field (with the b model parameter) (Appendix C). It is used to plot Fig.13 • amb+_graphs.ipynb: calculates the graphical corrections of the Active Model B+ (Appendix D). It also calculates the graphical corrections leading to higher-order terms (Section III.C) • amb+_noshift.ipynb: calculates the flow equations for the Active Model B+ without shifting the field. It also analyzes its fixed points and applies stability analysis (Section III.D.1). It optionally plots the flow equations (figure not shown in manuscript) • amb+_shift.ipynb: calculates the flow equations for the Active Model B+ with shifting the field. It also analyzes its fixed points and applies stability analysis (Section III.D.2). It optionally plots the flow equations (figure not shown in manuscript) 3) simulations: A folder which is used for the flow equations of the modified cKPZ and for the numerical simulations of the stochastic partial differential equation using py-pde. It includes: • modified_ckpz.ipynb: calculates the graphical corrections and analyzes the flow equations for the modified cKPZ of Section IV.A. It plots Fig.9 and simulates the stochastic partial differential equation using py-pde and plots Fig.10 • 3d_4000: A folder of the data of the modified cKPZ using py-pde. It is used for the modified_ckpz.ipynb }, added-at = {2024-03-18T13:06:10.000+0100}, affiliation = {Speck, Thomas/University of Stuttgart, Papanikolaou, Nikos/University of Stuttgart}, author = {Speck, Thomas and Papanikolaou, Nikolaos}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2eb07ad35728d2bf2e13bd7c7d045cb78/unibiblio}, doi = {10.18419/darus-4073}, howpublished = {Dataset}, interhash = {55ec9e1f765fb2c2522730d5ae22dcab}, intrahash = {eb07ad35728d2bf2e13bd7c7d045cb78}, keywords = {darus ubs_10008 ubs_20014 ubs_30135 ubs_40445 unibibliografie}, orcid-numbers = {Speck, Thomas/0000-0002-6357-1180, Papanikolaou, Nikos/0000-0003-0462-0808}, timestamp = {2025-03-17T17:20:04.000+0100}, title = {Supplementary material for `Dynamic renormalization of scalar active field theories`}, year = 2024 }