A critical investigation of the generalized Langevin equation

✍ Scribed by Akio Morita

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 286 KB
• Volume: 222
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(94)87081-0

✦ Synopsis

It

shown that formulation of generalized Langevin leads to non-decaying correlation (x, R(t) ) = x, R ) where R ( t ) is the random acceleration at time t, x is the position of a Brownian particle at t=O and R = R( 0). This is a serious difficulty in view of the fundamental requirement form irreversible statistical mechanics that lim,,, (x,R(t))=(x)(R(t))=O.