The relations between information, entropy and energy, which are well known in equilibrium thermodynamics, are not clear far from equilibrium. Moreover, the usual expression of the classical thermodynamic potentials is only valid near equilibrium. In previous publications, we showed for a chemical system maintained far from equilibrium, that a new… (More)
In this article, we define stochastic dynamics for a system coupled to reservoirs. The rules for forward and backward transitions are related by a generalized detailed balance identity involving the system and its reservoirs. We compare the variation of information and of entropy. We define the Carnot dissipation and prove that it can be expressed in terms… (More)
Using dynamical concepts of phase transitions developed in earlier work, we exhibit the characteristic features of the spectrum and eigenfunctions to be expected when a hierarchy of phase transitions is present in a system, such as is expected to occur for spin glasses.
We define and study a detailed many body model for the muscular contraction taking into account the various myosin heads. The state of the system is defined by the position of the actin and by an internal coordinate of rotation for each myosin head. We write a system of Fokker-Planck equations and calculate the average for the position, the number of… (More)
The Carnot efficiency of usual thermal motors compares the work produced by the motor to the heat received from the hot source, neglecting the perturbation of the cold source: thus, even if it may be appropriate for industrial purposes, it is not pertinent in the scope of sustainable development and environment care. In the framework of stochastic dynamics… (More)
The observable representation provides an embedding of a discrete space in a low dimensional continuous space. Typically, the discrete space is a model of a complex system. This graphical representation is known to highlight significant properties of the original space and can serendipitously reveal unanticipated relationships. We report on the current… (More)
SUMMARY In this article, we build a self consistent mean field deterministic model for the muscular contraction. The two main variables are the number of free myosin heads and the number of myosin heads attached to the actin, just after attachment. The model is natural in the sense that it respects the physico-chemical natural constraints. We calculate the… (More)
Millisecond crystal relaxation has been used to explain anomalous decay in doped alkali halides. We attribute this slowness to Fermi-Pasta-Ulam solitons. Our model exhibits confinement of mechanical energy released by excitation. Extending the model to long times is justified by its relation to solitons, excitations previously proposed to occur in alkali… (More)