Our aim is to propose a theory which goes beyond the classical formulation of
thermodynamics. This is achieved by enlarging the space of basic independent variables …

Bioenergetics is concerned with the energy conservation and conversion processes in a
living cell, particularly in the inner membrane of the mitochondrion. This review summarizes …

In this paper, we survey our recent results on the variational formulation of nonequilibrium
thermodynamics for the finite-dimensional case of discrete systems, as well as for the infinite …

For a number of well-known time-evolution equations for nonequilibrium systems we extract
a common structure from these equations, referred to as a general equation for the …

This paper studies the perturbation of a Lie-Poisson (or, equivalently an Euler-Poincaré)
system by a special dissipation term that has Brockett's double bracket form. We show that a …

Some ideas relating to a bracket formulation for dissipative systems are considered. The
formulation involves a bracket that is analogous to a generalized Poisson bracket, but …

We develop inductive biases for the machine learning of complex physical systems based
on the port-Hamiltonian formalism. To satisfy by construction the principles of …

By applying the projection operator method, we derive the g̱eneral e̱quation for the
ṉone̱quilibrium reversible-irreversible coupling (GENERIC) that, in previous work [Phys …

Different formulations of non-equilibrium continuum thermodynamics are discussed:
Thermodynamics of Irreversible Processes (TIP), Rational Thermodynamics (RAT) …

We present a review of some key developments in the continuum mechanics–based
macroscopic modeling of complex fluid flows, following the pioneering work of Oldroyd in the …