76 citations · 486 across the 29 of their papers we have counts for
30 papers
Lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics
C. Gruber, S. D. Brechet
Following the analytic approach to thermodynamics developed by Stueckelberg, we study the evolution equations of a closed thermodynamic system consisting of point particles in a fl…
Friction force: from mechanics to thermodynamics
Christian Ferrari, Christian Gruber
We study some mechanical problems in which a friction force is acting on the system. Using the fundamental concepts of state, time evolution and energy conservation we explain how…
The Falicov-Kimball model
Christian Gruber, Daniel Ueltschi
This is a review for Elsevier's Encyclopedia of mathematical physics.
Hamiltonian model of heat conductivity and Fourier law
Christian Gruber, Annick Lesne
We investigate the stationary nonequilibrium states of a quasi one-dimensional system of heavy particles whose interaction is mediated by purely elastic collisions with light parti…
On the Second Law of thermodynamics and the piston problem
C. Gruber, S. Pache, A. Lesne
The piston problem is investigated in the case where the length of the cylinder is infinite (on both sides) and the ratio is a very small parameter, where is the mass of…
Two-time-scale relaxation towards thermal equilibrium of the enigmatic piston
C. Gruber, S. Pache, A. Lesne
We investigate the evolution of a system composed of non-interacting point particles of mass in a container divided into two chambers by a movable adiabatic piston of mass…