David A. Egolf | Bio/CV | People | Courses | Research | Contact |

Most of my research involves trying to understand systems far-from-equilibrium (meaning that the energy input and the energy dissipated are not precisely balanced at all places and at all times). Unlike the situation for systems in equilibrium, researchers have so far been stymied in their efforts to develop a general, predictive theory of nonequilibrium systems. My research group uses the tools of nonlinear dynamics and statistical physics to try to establish the underpinnings for such a theory. Most of the work also involves the use of large-scale computation, mostly on large computer clusters. The types of systems I study range from fluid and granular systems to electrochemical waves in heart tissue to idealized mathematical models. Some of the projects are described below. The work has been supported by the NSF, Research Corporation, NASA, and the Sloan Foundation. Dynamical Events in Spiral Defect Chaos
Jamming in Granular Shear
Fibrillating Heart Tissue
Building Blocks of Spatiotemporal Chaos
Statistical Mechanics Far-from-equilibrium
More Granular DynamicsSince arriving at Georgetown, I have developed a successful collaboration with Prof. Jeffrey Urbach to study the thermodynamics of driven granular systems. In a series of papers, we have described our efforts to understand the behavior of these granular systems. In early work, we explored the relationship between the way the system is driven and correlations within the granular media. In more recent work, we studied two phenomena that appear in our non-equilibrium granular systems and also in equilibrium systems --- two-phase coexistence and the depletion force --- and characterized the similarities and differences between the equilibrium and non-equilibrium situations. Our current work involves driving a granular system using both shaking and shearing to introduce multiple time-scales, and we're seeing some intriguing behavior. P. Melby, A. Prevost, D.A. Egolf, and J.S. Urbach, Phys. Rev. E.
76:051307 (2007).P. Melby, F.V. Reyes, A. Prevost, R. Robertson, P. Kumar, D.A. Egolf, and J.S. Urbach, J. Phys. Cond. Matt. 17:S2689-S2704 (2005).A. Prevost, P. Melby, D.A. Egolf, and J.S. Urbach, Phys. Rev. E 70:050301 (2004).A. Prevost, D.A. Egolf, and J.S. Urbach, Phys. Rev. Lett. 89:084301 (2002).BiophysicsMy colleague Jeff Urbach and I have two students working on projects to study the behavior of biopolymers in solution and in networks. This work will hopefully give us insight into important mechanisms at work within cells. QCD Calculations using Effective Field TheoriesMy scientific interests are quite broad, so I occasionally work on projects far afield from my usual research. I have been working with Professor Roxanne Springer at Duke to calculate various quantities using effective theories of low energy quantum chromodynamics (QCD). In our most recent work, we found that a new 3-body force is required to describe the interactions of 3 nucleons when 2 of them are charged (but that force is not needed when only one is charged). In earlier work, at the request of experimentalists at Fermilab, we calculated the decay rates of doubly-heavy baryons into a variety of channels. J. Vanasse, D.A. Egolf, J. Kerin, S. Konig, and R.P. Springer, Phys. Rev. C 89:064003 (2014).D.A. Egolf, R.P. Springer, and J. Urban, Phys. Rev. D 68:013003 (2003).D.A. Egolf, I.V. Melnikov, and R.P. Springer, Phys. Lett. B 451:267-274 (1999). |

David A. Egolf | Bio/CV | People | Courses | Research | Contact |