Stochastic quantization, low-temperature asymptotics and chaos

Thesis/Dissertation · Wed Jan 01 04:00:00 EST 1992

OSTI ID:7198498

Millonas, M M

This thesis is essentially a nonperturbative investigation of the properties of a certain class of non-equilibrium statistical processes in the low-temperature limit. The important role nonlinear dynamics plays in such an investigation is studied. It is shown that the most probable trajectories of a stochastic system determine the behaviors of the system in the limit of low temperatures. These equations obey a set of Euler-Lagrange equations. In addition it is shown that the imaginary time equations of motion for the most probable trajectories have a direct influence on the spectral properties of the Fokker-Planck operator. Asymptotic formulas for various important quantities are developed. The concept of stochastic chaos is introduced, and an illustration of this phenomena is presented.

• Research Organization: Texas Univ., Austin, TX (United States)
• OSTI ID: 7198498
• Country of Publication: United States
• Language: English

Related Subjects

661210* -- Cryogenics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
CRYOGENICS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FOKKER-PLANCK EQUATION
LAGRANGE EQUATIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
RANDOMNESS
STOCHASTIC PROCESSES
TEMPERATURE DEPENDENCE