We propose a new mechanism for the achievment of homochirality in life without any autocatalytic production process. Our model consists of a spontaneous production together with a recycling cross inhibition in a closed system. It is shown that although the rate equations for this system predict no chiral symmetry breaking, the stochastic master equation predicts complete homochirality. This is ...

The question of how reversible microscopic equations of motion can lead to irreversible macroscopic behaviour has been one of the central issues in statistical mechanics for more than a century. The basic issues were known to Gibbs. Boltzmann conducted a very public debate with Loschmidt and others without a satisfactory resolution. In recent decades there has been no real change in the situati...

We review the transient version of the work and fluctuation theorem. We verify the theorem explicitly by a microscopically exact analytic calculation of the probability distribution for work or entropy production in three physical examples: the Joule experiment, the compression/expansion of a gas and the process of effusion. To cite this article: B. Cleuren et al., C. R. Physique 8 (2007). © 20...

We calculate the fluctuation of the energy of a system in Tsallis statistics following the finite heat bath canonical ensemble approach. We obtain this fluctuation as the second derivative of the logarithm of the partition function plus an additional term. We also find an explicit expression for the relative fluctuation as related to the number of degrees of freedom of the bath and the composit...

The Onsager and higher-order reciprocity relations are derived from a fluctuation theorem for nonequilibrium reactions ruled by the chemical master equation. The fluctuation theorem is obtained for the generating function of the macroscopic fluxes between chemiostats maintaining the system in a nonequilibrium steady state. The macroscopic affinities associated with the fluxes are identified by ...

Thefluctuation dissipation theorem is at the heart of equilibrium statisticalmechanics. For a system away from thermal equilibrium, generalized nonequilibrium fluctuation relations have been found in recent years. Fluctuation relations reveal the fundamental connection between the response of a physical system to aweak externally applied force and the fluctuations in the systemwithout the exter...

In this note we review recent progress about fluctuation relations and their applicability to free energy recovery in single molecule experiments. We underline the importance of the operational definition for the mechanical work and the non-invariance of fluctuation relations under Galilean transformations, both aspects currently amenable to experimental test. Finally we describe a generalizati...

We give a derivation of a new instantaneous fluctuation relation for an arbitrary phase function which is odd under time reversal. The form of this new relation is not obvious, and involves observing the system along its transient phase space trajectory both before and after the point in time at which the fluctuations are being compared. We demonstrate this relation computationally for a number...

A mechanism for the validity of a local version of the fluctuation theorem, uniform in the system size, is discussed for a reversible chain of weakly coupled Anosov systems.

fluctuation theorem Maciej P. Wojtkowski Department of Mathematics and Informatics, University of Warmia and Mazury, ul. Zolnierska 14, 10-561 Olsztyn, Poland E-mail address: [email protected]