Dimensionless Universal Parameters of the Kramers Problem


Gontchar I. I., Chushnyakova M. V., Blesman A. I.

12th International Scientific and Technical Conference on Applied Mechanics and Systems Dynamics, Omsk, Russia, 13 - 15 November 2018, vol.1210 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1210
  • Doi Number: 10.1088/1742-6596/1210/1/012052
  • City: Omsk
  • Country: Russia
  • Akdeniz University Affiliated: No

Abstract

Thermal decay of a metastable state is a useful model employed in many branches of natural sciences. The inertia parameter and friction coefficient, as well as the potential energy, might have quite a different scale in the different branches. However, the time evolution of quantities characterizing the decay process (or the Kramers problem) should be the same, e.g. the fission rate. Therefore, it is convenient to have a set of universal parameters for scaling the problem. Performing numerical modeling within the Langevin dynamics, we have managed to find such universal dimensionless parameters.