Memory loss process and non-Gibbsian equilibrium solutions of master equations

Journal Article · Tue Nov 01 00:00:00 EST 1988 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01014219· OSTI ID:6028681

Cataldo, H M; Hernandez, E S

The phonon dynamics of a harmonic oscillator coupled to a steady reservoir is studied. In the Markovian limit, the equilibrium is reached through a progressive loss of memory process which involves the moments of the initial distribution. The relationship to the non-Markovian equations of motion and its resolvent poles is settled. As a particular model of the coupling mechanism is adopted, the possibility of non-Gibbsian equilibrium distribution arises, which is analyzed focusing upon the dependence of various parameters of the system on an effective equilibrium temperature.

• Research Organization: Universidad de Buenos Aires (Argentina)
• OSTI ID: 6028681
• Journal Information: J. Stat. Phys.; (United States), Vol. 53:3-4, Issue 3-4
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HARMONIC OSCILLATOR MODELS
ELECTRON-PHONON COUPLING
PHONONS
MARKOV PROCESS
BROWNIAN MOVEMENT
DEGREES OF FREEDOM
DYNAMICS
EIGENVALUES
EIGENVECTORS
EQUATIONS OF MOTION
EQUILIBRIUM
FERMIONS
INELASTIC SCATTERING
STATISTICAL MECHANICS
TEMPERATURE DEPENDENCE
TEMPERATURE DISTRIBUTION
THERMODYNAMICS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL MODELS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
SCATTERING
STOCHASTIC PROCESSES
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics