Matches in SemOpenAlex for { <https://semopenalex.org/work/W2007458315> ?p ?o ?g. }
- W2007458315 endingPage "21217" @default.
- W2007458315 startingPage "21217" @default.
- W2007458315 abstract "Many chemical reactions, including those of biological importance, take place in thermally fluctuating environments. Compared to isolated systems, there arise markedly different features due to the effects of energy dissipation through friction and stochastic driving by random forces reflecting the fluctuation of the environment. Investigation of how robustly the system reacts under the influence of thermal fluctuation, and elucidating the role of thermal fluctuation in the reaction are significant subjects in the study of chemical reactions. In this article, we start with overviewing the generalized Langevin equation (GLE), which has long been used and continues to be a powerful tool to describe a system surrounded by a thermal environment. It has been also generalized further to treat a nonstationary environment, in which the conventional fluctuation–dissipation theorem no longer holds. Then, within the framework of the Langevin equation we present a method recently developed to extract a new reaction coordinate that is decoupled from all the other coordinates in the region of a rank-one saddle linking the reactant and the product. The reaction coordinate is buried in nonlinear couplings among the original coordinates under the influence of stochastic random force. It was ensured that the sign of this new reaction coordinate (=a nonlinear functional of the original coordinates, velocities, friction, and random force) at any instant is sufficient to determine in which region, the reactant or the product, the system finally arrives. We also discuss how one can extend the method to extract such a coordinate from the GLE framework in stationary and nonstationary environments, where memory effects exist in dynamics of the reaction." @default.
- W2007458315 created "2016-06-24" @default.
- W2007458315 creator A5066076503 @default.
- W2007458315 creator A5066336593 @default.
- W2007458315 date "2011-01-01" @default.
- W2007458315 modified "2023-10-18" @default.
- W2007458315 title "Why and how do systems react in thermally fluctuating environments?" @default.
- W2007458315 cites W1498779947 @default.
- W2007458315 cites W1505055780 @default.
- W2007458315 cites W1671019592 @default.
- W2007458315 cites W1963841917 @default.
- W2007458315 cites W1964312819 @default.
- W2007458315 cites W1965363736 @default.
- W2007458315 cites W1967579835 @default.
- W2007458315 cites W1969993471 @default.
- W2007458315 cites W1975463080 @default.
- W2007458315 cites W1979798332 @default.
- W2007458315 cites W1982411131 @default.
- W2007458315 cites W1984587408 @default.
- W2007458315 cites W1984759335 @default.
- W2007458315 cites W1986986444 @default.
- W2007458315 cites W1988090536 @default.
- W2007458315 cites W1988465167 @default.
- W2007458315 cites W1991215228 @default.
- W2007458315 cites W1992827713 @default.
- W2007458315 cites W1993776282 @default.
- W2007458315 cites W1994816780 @default.
- W2007458315 cites W1998162823 @default.
- W2007458315 cites W1998671099 @default.
- W2007458315 cites W1998993064 @default.
- W2007458315 cites W1999688821 @default.
- W2007458315 cites W2002277975 @default.
- W2007458315 cites W2004895258 @default.
- W2007458315 cites W2008480228 @default.
- W2007458315 cites W2009447971 @default.
- W2007458315 cites W2009615739 @default.
- W2007458315 cites W2009983109 @default.
- W2007458315 cites W2011366974 @default.
- W2007458315 cites W2012901551 @default.
- W2007458315 cites W2015195506 @default.
- W2007458315 cites W2016115845 @default.
- W2007458315 cites W2016178496 @default.
- W2007458315 cites W2016823199 @default.
- W2007458315 cites W2022110013 @default.
- W2007458315 cites W2028648216 @default.
- W2007458315 cites W2029390779 @default.
- W2007458315 cites W2033218433 @default.
- W2007458315 cites W2033779338 @default.
- W2007458315 cites W2041464170 @default.
- W2007458315 cites W2042583869 @default.
- W2007458315 cites W2043232900 @default.
- W2007458315 cites W2043469462 @default.
- W2007458315 cites W2045579671 @default.
- W2007458315 cites W2046286471 @default.
- W2007458315 cites W2050031015 @default.
- W2007458315 cites W2053286398 @default.
- W2007458315 cites W2053450287 @default.
- W2007458315 cites W2054504475 @default.
- W2007458315 cites W2054526132 @default.
- W2007458315 cites W2056227141 @default.
- W2007458315 cites W2057135030 @default.
- W2007458315 cites W2057980421 @default.
- W2007458315 cites W2058805513 @default.
- W2007458315 cites W2059099828 @default.
- W2007458315 cites W2063281586 @default.
- W2007458315 cites W2063306390 @default.
- W2007458315 cites W2064810205 @default.
- W2007458315 cites W2065336387 @default.
- W2007458315 cites W2065757533 @default.
- W2007458315 cites W2066414752 @default.
- W2007458315 cites W2068344408 @default.
- W2007458315 cites W2070993248 @default.
- W2007458315 cites W2072733803 @default.
- W2007458315 cites W2073580103 @default.
- W2007458315 cites W2075294693 @default.
- W2007458315 cites W2075457932 @default.
- W2007458315 cites W2080438056 @default.
- W2007458315 cites W2082384264 @default.
- W2007458315 cites W2083295072 @default.
- W2007458315 cites W2085266415 @default.
- W2007458315 cites W2087750102 @default.
- W2007458315 cites W2089413856 @default.
- W2007458315 cites W2093260538 @default.
- W2007458315 cites W2093359037 @default.
- W2007458315 cites W2095676762 @default.
- W2007458315 cites W2104166397 @default.
- W2007458315 cites W2105564392 @default.
- W2007458315 cites W2113696097 @default.
- W2007458315 cites W2117069719 @default.
- W2007458315 cites W2120636350 @default.
- W2007458315 cites W2121511041 @default.
- W2007458315 cites W2124138287 @default.
- W2007458315 cites W2126559232 @default.
- W2007458315 cites W2133212040 @default.
- W2007458315 cites W2134402432 @default.
- W2007458315 cites W2137296933 @default.
- W2007458315 cites W2137546609 @default.
- W2007458315 cites W2141557297 @default.