Macroscopic fluctuation theory

Macroscopic fluctuation theory and first-passage properties of surface diffusion.

We investigate nonequilibrium fluctuations of a solid surface governed by the stochastic Mullins-Herring equation with conserved noise. This equation describes surface diffusion of adatoms accompanied by their exchange between the surface and the bulk of the solid, when desorption of adatoms is negligible. Previous works dealt with dynamic scaling behavior of the fluctuating interface. Here we ...

Fluctuation Theory of Random Copolymers

We investigate trie behavior of symmetric AB random copolymer melt near trie point of microphase separation in trie framework of a one-trop (Hartree-Fock) approximation, that exactly salves trie problem. We bave shown that composition fluctuations result to complete elimination of trie microphase separation predicted in trie frarnework a mean-field approximation [1-5]. Using variational techniq...

Fluctuation Theory of Recurrent Events

Generalised Complex Geometry in Thermodynamical Fluctuation Theory

We present a brief overview of some key concepts in the theory of generalized complex manifolds. This new geometry interpolates, so to speak, between symplectic geometry and complex geometry. As such it provides an ideal framework to analyze thermodynamical fluctuation theory in the presence of gravitational fields. To illustrate the usefulness of generalized complex geometry, we examine a simp...

A Unified Formulation of Nuclear Fluctuation Theory

The statistical theory of fluctuations was initiated by ERICSON 1 in 1960 in the appendix of his review article on the statistical model of the compound nucleus. This was at a time when nuclear fluctuations had not yet been observed or recognized as such in scattering experiments. ERICSON pointed out that the excitation functions and angular distributions of nuclear reactions involving a compou...