A theory for the activated barrier crossing rate constant in systems influenced by space and time dependent friction

Haynes, George R.; Voth, Gregory A.; Pollak, Eli
November 1994
Journal of Chemical Physics;11/1/1994, Vol. 101 Issue 9, p7811
Academic Journal
A general theory is presented for the thermally activated rate constant in systems influenced by spatially dependent and time correlated friction. The theory is valid at all damping strengths and goes uniformly from the energy diffusion limit to the spatial diffusion limit. Results of the theory for a model system with an exponentially time correlated and spatially dependent friction kernel are compared with results from a numerically exact solution of the equivalent generalized Langevin equation. Predictions of the theory are found to be in excellent agreement with the numerical simulation results. The phenomenon of memory suppression of the rate is observed for long time scale frictions and its modification due to the spatial dependence of the friction is discussed. The effects of spatially dependent friction can be understood through a quantity called the ‘‘average spatial modification’’ of the coupling between the reaction coordinate and the environment.


Related Articles

  • Theorists bridge space-time rips. Samuel Reich, Eugenie // Nature;11/1/2012, Vol. 491 Issue 7422, p19 

    The article focuses on the framework that three theoretical physicists and authors suggests in understanding the effects of gravity and space of quantum particles. It states that theorists focus on the happenings at the end of the wire, where they set the conditions of the boundaries for the...

  • Higher dimensional charged gravastar admitting conformal motion. Bhar, Piyali // Astrophysics & Space Science;Dec2014, Vol. 354 Issue 2, p457 

    In the present paper we have discussed about the higher dimensional charged gravastar admitting conformal motion. The gravastar, gravitationally vacuum condense star is generally considered as the alternative to black hole which has three regions with three different equation of state. (i) In...

  • The revealing role of pressure in the condensed matter sciences. Hemley, Russell J.; Ashcroft, Neil W. // Physics Today;Aug98, Vol. 51 Issue 8, p26 

    Presents information on matter, highlighting that changes can be made to the densities of condensed matter. Impact of these changes on the physical and chemical properties of materials; Description of methods used to change densities; Reference to the compression of condensed matter.

  • A complete quantum description of an ultrafast pump-probe charge transfer event in condensed phase. Koch, Christiane P.; Klu¨ner, Thorsten; Kosloff, Ronnie // Journal of Chemical Physics;5/8/2002, Vol. 116 Issue 18, p7983 

    An ultrafast photoinduced charge transfer event in condensed phase is simulated. The interaction with the field is treated explicitly within a time-dependent framework. The description of the interaction of the system with its environment is based on the surrogate Hamiltonian method where the...

  • Computational Materials Science: The Era of Applied Quantum Mechanics. Bernholc, Jerzy // Physics Today;Sep99, Vol. 52 Issue 9, p30 

    Focuses on the ab initio methods used in predicting the properties of materials or complex material structures. Methodology of ab initio calculations; Major advantages of the use of pseudopotential functions in large-scale ab initio calculations; Examples that illustrate the role that accurate...

  • Vierbein walls in condensed matter. Volovik, G. E. // JETP Letters;12/10/99, Vol. 70 Issue 11, p711 

    The effective field, which plays the part of the vierbein in general relativity, can have topologically stable surfaces, vierbein domain walls, at which the effective contravariant metric is degenerate. We consider vierbein walls separating domains with flat spacetime which are not causally...

  • Superfluid Molecular Hydrogen. Vorob�ev, V. S.; Malyshenko, S. P. // JETP Letters;1/10/2000, Vol. 71 Issue 1, p39 

    In order to produce a supercooled liquid phase of molecular hydrogen that may possibly change at a sufficiently low temperature to a superfluid state, it is suggested to reduce the temperature of its equilibrium coexistence with the solid phase by means of developing different pressures in these...

  • Preface. Fradkin, Eduardo // Field Theories of Condensed Matter Systems;1997, p1 

    A preface to the book "Field Theories of Condensed Matter Systems," by Eduardo Fradkin is presented.

  • CHAPTER 1: Introduction. Fradkin, Eduardo // Field Theories of Condensed Matter Systems;1997, p1 

    An introduction to the book "Field Theories of Condensed Matter Systems," by Eduardo Fradkin is presented in which the author discusses various aspects of condensed matter, the life of a physicist and the use of concepts and theoretical tools in understanding matter.


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics