Motivated by stochastic models of climate phenomena, the steady state of a linear stochastic model with additive Gaussian white noise is studied. Fluctuation theorems for nonequilibrium steady states provide a constraint on the character of these fluctuations. The properties of the fluctuations which are unconstrained by the fluctuation theorem are investigated and related to the model paramete...

Although both time irreversibility (TIR) and amplitude (AIR) are relevant concepts for nonequilibrium analysis, their association has received little attention. This paper describes a systematic comparative analysis of the relationship between TIR AIR based on statistical description numerical simulations. To simplify quantification AIR, permutation global information associated vector combined...

A bstract We first present an analysis of infinitesimal null deformations for the entanglement entropy, which leads to a major simplification proof C , F and -theorems in quantum field theory. Next, we study energy condition (QNEC) on light-cone CFT. Finally, combine these tools order establish irreversibility renormalization group flows planar d -dimensional defects, embedded D conformal theor...

We present an overview of recent work together with J. Hoffman, A. Logg and R. Scott developing a new approach towards resolving the classical paradox of irreversibility in formally reversible Hamiltonian systems such as inviscid fluid models and particle models. We base our solution on finite precision computation in the form of General Galerkin G2, instead of statistical mechanics, which is t...

The interaction between concepts of irreversibility and the development of non-equilibrium statistical mechanics is discussed with particular reference to certain 'paradoxes' that retarded this development A recently evolved attitude towards the general problem of irreversibility may be considered responsible for a number of practical advances in this field. My subject is the interaction betwee...