We work on problems at the interface of stochastic analysis, statistical mechanics, and scientific computation. Our work is strongly motivated by specific problems in soft condensed matter physics and biophysics. We also work on related problems concerning the analysis and numerical approximation of Stochastic Partial Differential Equations (SPDEs).
Specific research areas include:
soft materials and complex fluids (gels and lipid bilayer membranes)
We gratefully acknowledge the following sources of support: *This material is based upon work supported by the National Science Foundation under Grant No. NSF DMS-0635535 and NSF CAREER DMS-0956210. Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).
July 2016: UCSB Public Lecture
The Hidden Role of Mathematics and Computation in Scientific Discovery and Engineering.
Public lecture aimed at a general audience as part of the UCSB GRIT series.
June 2016: Summer School on Multiscale Modeling of Materials CM4 (Stanford University, June 20-23, 2016)
The workshop focuses on mathematical modeling of soft materials and computational methods. We present a tutorial on fluctuating hydrodynamics approaches and our computational package SELM for simulations using the LAMMPS molecular dynamics software.
Software package SELM for fluctuating hydrodynamics simulations in LAMMPS [software website]
June 2016: Soft Matter Journal highlights on the cover our work on curved fluid interfaces.
This research is reported in the paper
Hydrodynamic Coupling of Particle Inclusions Embedded in Curved Lipid Bilayer Membranes, J.K. Sigurdsson and P.J. Atzberger, 12, 6685-6707, Soft Matter, The Royal Society of Chemistry, (2016) [paper] .
January 2015: UCLA IPAM Talk at Workshop on Partial Order: Mathematics, Simulations and Applications
Fluctuating Hydrodynamics Approaches for Lipid Bilayer Membranes
Funding has become available for a new postdoctoral position. To apply, please send a CV and a short summary of your research interests. [see link]
May 2014: Our paper "Shape matters in protein mobility within membranes," was published in the Proceedings of the National Academy of Sciences (PNAS). [full paper]
Congratulations Jon Sigurdsson!
May 2014: Congratulations to Kai Sikorksi on his new position at Goldman Sachs!
May 2014: Recent expository demonstration we put together for the Poincare Sections of the Duffing Oscillator.
December 2013: Congratulations to Jon Karl Sigurdsson who successfully defended his thesis!
September 2013: Congratulations to Pat Plunkett who successfully defended his thesis!
Thanks Pat for the very cool 3D printout of an adaptive mesh! [JPG]
July 2013: Soft Matter Journal has highlighted on the September cover our work on supported lipid bilayers.
This research is reported in the paper
Simulation of edge facilitated adsorption and critical concentration induced rupture of vesicles at a surface, P. Plunkett, B. Camley, K. Weirich, J. Israelachvili, P. Atzberger. [paper]
June 2013: Congratulations to Gil Tabak on winning the Undergraduate Wilder Award!
This research work is reported in the paper
Stochastic Reductions for Inertial Fluid-Structure Interactions Subject to Thermal Fluctuations, G. Tabak and P.J. Atzberger, SIAM J. Appl. Math., 75(4), 1884–1914, (2015). [PDF][full paper]
June 2013: Gil Tabak gives CCS Commencement Speech.
December 2012: Software Package Mango-Selm for fluctuating hydrodynamics thermostats has been released!
This is available as part of the Lammps Molecular Dynamics Software (Sandia, DOE). The package allows for dynamic simulations of implicit-solvent coarse-grained models using SELM thermostats. [more information].
December 2012: DOE Grant for Computational Methods for Soft Materials
July 2012: David Valdman successfully defends his thesis!
Congratulations to Dr. Valdman!
April-June 2012: KITP Workshop :
Physical Principles of Multiscale Modeling, Analysis and Simulation in Soft Condensed Matter, Coordinators: Paul J. Atzberger, Kurt Kremer, Mark Robbins [link]
June 2011: Daniel Kerr gives CCS Commencement Speech.