Theory of the relaxation and fluctuation from unstable and metastable states

✍ Scribed by T. Shimizu

• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 507 KB
• Volume: 91
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(78)90196-6

✦ Synopsis

Au extension of the usual system-size expansion method is given to study the relaxation and fluctuation from unstable and metastable states. The short-time and the long-time behavior of the moments y(t) and M,(t) and of the distribution function P(x, t) of a macrosco0ic variable x are investigated by using the generating function G(a,/3 ; t) = 6(a -y(t))II~ , 8(~, -M,(t)), where y(t) = J" xP(x, t) dx and MAt) =-f (x -y( t)J°P(x, t) dx. The dominant part of the time evolution of G(a, 13: t) is extracted by introducing a scale transformation of 0-The theory is applied to the one-dimensional laser model.