The Phenomenology of diffusion

Tyrrell, H. J. V.

doi:10.1016/b978-0-408-17591-3.50007-1

Cited by 170 publications

(304 citation statements)

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“…diffusion of reactants over an energy barrier has been found in textbooks of chemical kinetic for some time (Berry et al, 1980;Coffey et al, 1996;Eu, 1992;Friedman, 1985;Gardiner, 1985;Han et al, 1993;Risken, 1984;Schuss, 1980b;Steinfeld, Francisco & Hase, 1989a;Tyrrell & Harris, 1984;van Kampen, 1981). These theories have several names.…”

Section: Brief History Of Diffusion Theory Of Chemical Reactions Thementioning

confidence: 99%

“…In the biological literature, see Andersen & Koeppe, 1992;Barcilon et al, 1993;Chiu & Jakobsson, 1989;Cooper, Jakobsson & Wolynes, 1985;Cooper et al, 1988a;Cooper, Gates & Eisenberg, 1988b;Crouzy, Woolf & Roux, 1994;Eisenberg et al, 1995;Läuger, 1991;Roux & Karplus, 1991a). In the chemical literature, the appropriate form for barrier theory in the presence of friction has been known for more than 50 years in chemistry as part of the diffusion theory of chemical reactions (Berne, Borkovec & Straub, 1988;Chandler, 1978;Cho et al, 1993;Coffey, Kalmykov & Wladron, 1996;Dresden, 1987;Eisenberg et al, 1995;Fleming & Hänggi, 1993;Fleming, Courtney & Balk, 1986;Friedman, 1985;Gardiner, 1985;Haar, 1998;Han, Lapointe & Lukens, 1993;Hänggi et al, 1990;Hynes, 1985;Hynes, 1986;Kramers, 1940;Laidler & King, 1983;Murthy & Singer, 1987;Nitzan & Schuss, 1993;Pollak, 1993;Pollak, 1996;Risken, 1984;Tyrrell & Harris, 1984).…”

Section: Traditional Explanations For the Mfementioning

confidence: 99%

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From Structure to Function in Open Ionic Channels

Eisenberg

1999

Journal of Membrane Biology

160

131

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We consider a simple working hypothesis that all permeation properties of open ionic channels can be predicted by understanding electrodiffusion in fixed structures, without invoking conformation changes, or changes in chemical bonds. We know, of course, that ions can bind to specific protein structures, and that this binding is not easily described by the traditional electrostatic equations of physics textbooks, that describe average electric fields, the so-called `mean field'. The question is which specific properties can be explained just by mean field electrostatics and which cannot. I believe the best way to uncover the specific chemical properties of channels is to invoke them as little as possible, seeking to explain with mean field electrostatics first. Then, when phenomena appear that cannot be described that way, by the mean field alone, we turn to chemically specific explanations, seeking the appropriate tools (of electrochemistry, Langevin, or molecular dynamics, for example) to understand them. In this spirit, we turn now to the structure of open ionic channels, apply the laws of electrodiffusion to them, and see how many of their properties we can predict just that way.Comment: Nearly final version of publicatio

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Section: Brief History Of Diffusion Theory Of Chemical Reactions Thementioning

confidence: 99%

Section: Traditional Explanations For the Mfementioning

confidence: 99%

From Structure to Function in Open Ionic Channels

Eisenberg

1999

Journal of Membrane Biology

160

131

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“…The coil constant was determined using the known self diffusion coefficient of water at ambient pressure and 298 K obtained by Mills [13] which are generally acknowledged to be the most reliable values [14]. The coil constant was controlled with a redetermination of D for benzene [15]. The self diffusion coefficients for H 2 0 are judged reliable to ±3%.…”

Section: Measurementsmentioning

confidence: 99%

The Pressure Dependence of Self Diffusion in Supercooled Light and Heavy Water

Prielmeier

Lang

Speedy

et al. 1988

Ber Bunsenges Phys Chem

178

153

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“…In the limit where 1 has exactly the same properties as 2, except that it is distinguishable, the situation studied in the simulations, D T1 equals the self-diffusion coefficient of the pure fluid. [7][8][9] Experimentally, this is done by using isotopically substituted solutes ͑usually radio-tracers at low concentrations͒ and extrapolating the results to that of a hypothetical tracer of the same mass as the solvent. 10 For a mixture, the D Ti for one component can be similarly extrapolated against tracer mass to give D i * of that component at its concentration in the mixture.…”

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confidence: 99%