Publications by Christian Gruber

Falicov–Kimball Model

Elsevier2024

Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics

Following the analytic approach to thermodynamics developed by Stuckelberg, we study the evolution equations of a closed thermodynamic system consisting of point particles in a fluid. We obtain a system of coupled differential equations describing the mech ...

MDPI AG2011

Friction force: from mechanics to thermodynamics

Christian Gruber, Christian Ferrari

We study some mechanical problems in which a friction force is acting on a system. Using the fundamental concepts of state, time evolution and energy conservation, we explain how to extend Newtonian mechanics to thermodynamics. We arrive at the two laws of ...

2010

Falicov–Kimball Model

Christian Gruber

Elsevier2006

Adiabatic Piston

Christian Gruber

Elsevier2006

The rod and hole paradox re-examined

Christian Gruber, Harald Van Lintel

In the rod and hole paradox as described by Rindler (1961 Am. J. Phys. 29 365–6) ('length contraction paradox'), a rigid rod moves at high speed over a table towards a hole of the same size. A bystander expects the rod to fall into the hole, but a co-movin ...

2005