TY - JOUR
T1 - Non-stochastic Langevin equation and the arrow of time
AU - Simanjuntak, Herbert P.
AU - Gunther, L.
PY - 1988/1
Y1 - 1988/1
N2 - The behavior of a Brownian particle coupled to a linear harmonic chain is studied using a non-stochastic analysis. We show how a non-stochastic time correlation function of the fluctuating force reproduces the essential properties of the stochastic correlation function under not too restrictive conditions. The width of our correlation function is ωm-1 in time and, for time scales ≫ωm-1, behaves as a delta function. We discuss how irreversible-like behavior might occur in spite of the reversibility of our Langevin equation and how irreversibility depends upon a restricted narrow class of initial conditions. Our results thus help dispel the mystery of the "arrow of time".
AB - The behavior of a Brownian particle coupled to a linear harmonic chain is studied using a non-stochastic analysis. We show how a non-stochastic time correlation function of the fluctuating force reproduces the essential properties of the stochastic correlation function under not too restrictive conditions. The width of our correlation function is ωm-1 in time and, for time scales ≫ωm-1, behaves as a delta function. We discuss how irreversible-like behavior might occur in spite of the reversibility of our Langevin equation and how irreversibility depends upon a restricted narrow class of initial conditions. Our results thus help dispel the mystery of the "arrow of time".
UR - http://www.scopus.com/inward/record.url?scp=0009058589&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(88)90166-5
DO - 10.1016/0378-4371(88)90166-5
M3 - Article
AN - SCOPUS:0009058589
SN - 0378-4371
VL - 147
SP - 487
EP - 498
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 3
ER -