16 May 2025
Auditorium CSSB (bldg. 15)
Europe/Berlin timezone

What does it tell us when curves cross?

16 May 2025, 16:30
30m
Desy Hamburg (Auditorium CSSB (bldg. 15))

Desy Hamburg

Auditorium CSSB (bldg. 15)

Speaker

Dieter Vollhardt (U Augsburg)

Description

In physics and chemistry it is often observed that the curves of a physical quantity f(x,p) cross at one or more points, when plotted as a function of x for different values of the parameter p. Sometimes these crossing points are confined to a remarkably narrow region, or are even located at a single point, called "isosbestic point". For example, crossing points are found in the curves of the heat capacity C(T,X) of many correlated materials, with X as the pressure or the magnetic field, and of the Hubbard model, with X as the interaction U, but also in the Raman response chi''(omega,T) and many other quantities. I will explain that crossing points provide valuable information about the system in which they occur.

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