Letter from Irving Fisher to John Muir, 1905 Nov 10 .

[illegible]UniversityDepartment of political Economy[illegible]Conn.Nov.10, 1905.Mr. JohnMartinez, Cal.My dear I.Ir. Muir:-I hope you will not think me unduly pertinacious if I write you again to ask whether you can aid me by contributing some data from your personal experience on the relation of diet to fatigue. My point of view is not that of a vegetarian, but simply of a truth-seeker and hygienist, and your own experience as it has been related to me would seem to be particularly valuable, because you also apparently have no vegetarian or other bias, and have made free use of whatever diet suited your purpose. In other words, you have alternated. I am told, between a diet without meat on your walking excursions, and the ordinary diet, including meat, at other times. Whether your motives had anything to do with endurance I do not know, but you can enlighten me.Hoping that you will consent to drop me a line in regard to this matter, I amVery truly yours,[illegible]P.S. I make only impersonal use of all my information, and the names of correspondents will be withheld from any publication

Without You

https://digitalcommons.library.umaine.edu/mmb-vp/2769/thumbnail.jp

Letter From Irving Fisher to Francis Mairs Huntington-Wilson, March 1, 1918

A typed letter from Irving Fisher to Francis Mairs Huntington-Wilson, dated March 1, 1918. Within, Fisher recommends to Wilson another person to write about education for the proposed pamphlet project.https://digitalcommons.ursinus.edu/fmhw_firstworldwar_documents/1075/thumbnail.jp

Logarithmic Corrections to Scaling in the XY2XY_2--Model

We study the distribution of partition function zeroes for the $XY$--model in two dimensions. In particular we find the scaling behaviour of the end of the distribution of zeroes in the complex external magnetic field plane in the thermodynamic limit (the Yang--Lee edge) and the form for the density of these zeroes. Assuming that finite--size scaling holds, we show that there have to exist logarithmic corrections to the leading scaling behaviour of thermodynamic quantities in this model. These logarithmic corrections are also manifest in the finite--size scaling formulae and we identify them numerically. The method presented here can be used to check the compatibility of scaling behaviour of odd and even thermodynamic functions in other models too.Comment: 3 pages, latex, 2 figure

Oh How I Miss You Tonight / words by Benny Davis, Mark Fisher, and Joe Burke

Key of Bb. Cover: a drawing of a woman sitting on a sofa thinking; photo inset of Eva Clark; Publisher: Irving Berlin Inc. (New York)https://egrove.olemiss.edu/sharris_d/1061/thumbnail.jp

Logarithmic Corrections to Scaling in the Two Dimensional XYXY--Model

By expressing thermodynamic functions in terms of the edge and density of Lee--Yang zeroes, we relate the scaling behaviour of the specific heat to that of the zero field magnetic susceptibility in the thermodynamic limit of the $XY$--model in two dimensions. Assuming that finite--size scaling holds, we show that the conventional Kosterlitz--Thouless scaling predictions for these thermodynamic functions are not mutually compatable unless they are modified by multiplicative logarithmic corrections. We identify these logarithmic corrections analytically in the case of the specific heat and numerically in the case of the susceptibility. The techniques presented here are general and can be used to check the compatibility of scaling behaviour of odd and even thermodynamic functions in other models too.Comment: 11 pages, latex, 4 figure

The Kosterlitz-Thouless Universality Class

We examine the Kosterlitz-Thouless universality class and show that essential scaling at this type of phase transition is not self-consistent unless multiplicative logarithmic corrections are included. In the case of specific heat these logarithmic corrections are identified analytically. To identify those corresponding to the susceptibility we set up a numerical method involving the finite-size scaling of Lee-Yang zeroes. We also study the density of zeroes and introduce a new concept called index scaling. We apply the method to the XY-model and the closely related step model in two dimensions. The critical parameters (including logarithmic corrections) of the step model are compatable with those of the XY-model indicating that both models belong to the same universality class. This result then raises questions over how a vortex binding scenario can be the driving mechanism for the phase transition. Furthermore, the logarithmic corrections identified numerically by our methods of fitting are not in agreement with the renormalization group predictions of Kosterlitz and Thouless.Comment: 36 pages (latex), plus 10 figures (postscript). This version to appear in Nuclear Physics