- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Nonlinear Dynamics and Pattern Formation
- Magnetic confinement fusion research
- Cellular Mechanics and Interactions
- Advanced Mathematical Physics Problems
- Plasmonic and Surface Plasmon Research
- Force Microscopy Techniques and Applications
- Lipid Membrane Structure and Behavior
- Diffusion and Search Dynamics
- Biopolymer Synthesis and Applications
- Effects of Radiation Exposure
- Gold and Silver Nanoparticles Synthesis and Applications
- Advanced DC-DC Converters
- Photodynamic Therapy Research Studies
- Chemical Reactions and Isotopes
- Geological Studies and Exploration
- Biological Research and Disease Studies
- Laser-Plasma Interactions and Diagnostics
- Differential Equations and Numerical Methods
- Coal and Coke Industries Research
- Magnetic Bearings and Levitation Dynamics
- Glutathione Transferases and Polymorphisms
- Electron Spin Resonance Studies
- Numerical methods for differential equations
Tri Alpha Energy (United States)
2023-2024
Rice University
2012-2013
Norwegian University of Science and Technology
2012
Ben-Gurion University of the Negev
2003-2009
Weizmann Institute of Science
2007
Protein search for targets on DNA starts all major biological processes. Although significant experimental and theoretical efforts have been devoted to investigation of these phenomena, mechanisms protein–DNA interactions during the remain not fully understood. One most surprising observations is known as a speed-selectivity paradox. It suggests that experimentally observed fast findings require smooth binding potentials, while stability specific complex imposes large energy gap which should...
One of the most important features biological systems that controls their functioning is ability protein molecules to find and recognize quickly specific target sites on DNA. Although these phenomena have been studied extensively, detailed mechanisms protein-DNA interactions during search are still not well understood. Experiments suggest proteins typically targets fast by combining three-dimensional one-dimensional motions, searching time non-specifically bound However observations...
A thrust allocation method with capabilities to assist the power management system on dynamically positioned ships is proposed in this paper. Its main benefits are reduction frequency and/or load variations electric network, and a formulation of thruster bias which can be released when required by system. To reduce without increasing overall consumption it necessary deviate from command given dynamic positioning or joystick. The resulting deviation position velocity vessel tightly...
The field reversed configuration (FRC), such as studied in the C-2W experiment at TAE Technologies, is an attractive candidate for realizing a nuclear fusion reactor. In FRC, kinetic ion effects play majority role macroscopic stability, which allows global stability studies to make use of fluid-kinetic hybrid (also referred Ohm's law) models wherein ions are treated kinetically while electrons fluid. development and validation particle-in-cell algorithm Exascale Computing Project code WarpX...
The Burgers and KdV equations provide approximations to more complex dynamical systems. Both can be viewed as conservation laws are integrable. When the small terms, left out in derivation of two from original systems, re-instated, resulting perturbed may lose conservation-law structure. In addition, integrability lost even asymptotic sense (i.e. order-by-order perturbation analysis). These losses independent occurrences. However, they both traced a specific contribution, which exist and/or...
Obstacles to integrability in perturbed evolution equations are overcome by allowing higher-order terms the expansion of solution depend explicitly on time and position. With a special algorithm, obstacles vanish for single-waves zero-order approximations, exponentially, outside wave interaction-region, multiple-waves. Simple expressions their asymptotic effects obtained.
The well-known hierarchy of the Burgers equation is equivalent to a non-local dynamical systems, which provide simple models for finite-distance spatial correlations or nearest-neighbour interactions in physical situation. new constructed from sequence Lax pairs. One member each pair Forsyth–Hopf–Cole transformation. second linear equation, differential time, with delays continuous space, discrete `spatial lag' λ. equations (analogues hierarchy) are easily solved via corresponding For given...
A Lax pair consisting of the Forsyth-Hopf-Cole transformation and a linear differential (in time) - difference continuous space) equation generates whole hierarchy Burgers admits exact moving front solutions. This model mimics finite-distance spatial correlations or nearest neighbor interactions in physical situation