Toward Control of Universal Scaling in Critical Dynamics
Abstract
The objective of this STIR is to perform an exploratory study of potentially high-impact research objectives concerning {I) analytical as well as numerical investigations of critical dynamics in interacting many-body systems both near and far from thermal equilibrium, (2) universal short-time scaling in nonequilibrium aging scaling regimes. (3) inlegration of control theory into objectives (I) and (2), and (4) identification of novel and promising experimental approaches. To achieve the objective the PIs will first define tractable theorelical model systems that allow the external control of universal dynamical scaling features and dynamic universality classes as well as current mathematical tools that include path-integral representations of non-linear stochastic differential equations and dynamic renormalization group techniques. Second, the PIs will explore the viability of steering a sca!e-invariam dynamical system toward a desired universality class through appropriate feedback control loops in the context of stochastic interface growth. Third. the PIs will devise fast, efficient diagnostics via a few easily accessible ohservnbles to characrerize a dynamic universality class, evading the inevitable drastic slowing-down of relaxation times near critical points. To this end, the PIs will examine transient yet universal short-time kinetics in the critical aging scaling regime as opposed to the stationary long-time asymptotics.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 12, 2017
- Source ID
- W911NF1510247
Entities
People
- Uwe C. Täuber
Organizations
- Army Contracting Command
- United States Army
- Virginia Tech