Slow algebraic relaxation in quartic potentials and related results

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 6, 1999, Pages 6497-6512

  Sinkovits, Robert S ^a   Sen, Surajit ^b   Phillips, James Christopher ^c   Chakravarti, Soumya ^d  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY AT BUFFALO   (United States)

^c UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^d CALIFORNIA STATE POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0001637335     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.6497     Document Type: Article

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47. J.C.P. and S.S. have tried to approximately obtain the velocity relaxation function from the infinite continued fraction with the (Formula presented) of the form in Eq. (42). By replacing this nonconvergent infinite continued fraction with a finite one with (Formula presented) levels, we obtained a (Formula presented) relaxation at the largest times we could study without falling victim to round-off errors (Formula presented). This result of course implies that we were not able to reach the asymptotic limit which should have given (Formula presented) behavior and is typical of problems encountered when continued fractions with (Formula presented) are perturbatively estimated. Clearly, extracting the result in some other way than directly estimating the nonconvergent infinite continued fractions for (Formula presented) significantly greater than 2 is the desirable way to handle these problems.
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