Work

Dissipative dynamics of a harmonic oscillator: A nonperturbative approach

Year: 2009

Type: article

Abstract: Starting from a microscopic theory, we derive a master equation for a harmonic oscillator coupled to a bath of noninteracting oscillators. We follow a nonperturbative approach, proposed earlier by us for the free Brownian particle. The diffusion constants are calculated analytically and the positivity of the master equation is shown to hold above a critical temperature. We compare the long time behavior of the average kinetic and potential energies with known thermodynamic results. In the limit of vanishing oscillator frequency of the system, we recover the results of the free Brownian particle.

Source: Physical Review E

DOI: 10.1103/physreve.80.031130

Authors: Jishad Kumar, S. Sinha, P. A. Sreeram

Institution: Indian Institute of Science Education and Research Kolkata

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2042467984

FWCI: 0.423

Cites: 31

Cited by: 9

Related to: 10