Wednesday, January 29 2020

11:00am - 12:00pm

11:00am - 12:00pm

Computational Mathematics Colloquium

Computational Mathematics Colloquium: Nonlinear Cylindrical Ion Soliton-driven cKdV equation

This talk will to introduce how effectively modeling complex nonlinear collective phenomena using large-scale computations is critical for future scientific discovery. Collective motion of particles forms the basis of physical processes ranging from the Astrophysical to the Atomic-scale. Lab-based nonlinear collective modes strongly driven as wakefields in gasses have now paved the way to controllably access electric fields exceeding 100GV/m. These fields can effect dramatic advances in particle acceleration technology by offering at least two orders of magnitude reduction in the size of future discovery machines that will succeed 27km long LHC at CERN.

However, a major challenge lies in understanding how the electron modes interact with ions especially in the region where particle beam gets accelerated. My work shows that a cylindrical ion-soliton can be driven by the steepened nonlinear electron modes excited as wakefields. A hollow region naturally excited in the plasma solves the critical problem of collisions and related undesirable effects. Proof of principle of the theoretical model of a driven cKdV equation is established using a computational model. Experiments have recently confirmed the existence of such long-lived soliton modes which paves the way for transformative directions in accelerator technology.

However, a major challenge lies in understanding how the electron modes interact with ions especially in the region where particle beam gets accelerated. My work shows that a cylindrical ion-soliton can be driven by the steepened nonlinear electron modes excited as wakefields. A hollow region naturally excited in the plasma solves the critical problem of collisions and related undesirable effects. Proof of principle of the theoretical model of a driven cKdV equation is established using a computational model. Experiments have recently confirmed the existence of such long-lived soliton modes which paves the way for transformative directions in accelerator technology.

Speaker: | Aakash Sahai |

Affiliation: | CU Denver Department of Electrical Engineering |

Location: | SCB 4017 |

Done