Stochastic Mechanics

Developments in Stochastic Structural Mechanics

Uncertainties are a central element in structural analysis and design. But even today they are frequently dealt with in an intuitive or qualitative way only. However, as already suggested 80 years ago, these uncertainties may be quantified by statistical and stochastic procedures. In this contribution it is attempted to shed light on some of the recent advances in the now established field of s...

Non-equilibrium in Stochastic Mechanics

The notion of non-equilibrium, in the sense of a particle distribution other than ρ = |ψ|, is imported into Nelson’s stochastic mechanics, and described in terms of effective wavefunctions obeying non-linear equations. These techniques are applied to the discussion of non-locality in non-linear Schrödinger equations.

Momentum in stochastic quantum mechanics

Momentum is analyzed as a random variable in stochastic quantum mechanics. Arbitrary potential energy functions are considered. The oscillator is presented as an example.

Stochastic Processes and Quantum Mechanics

Stochastic Geometry and Statistical Mechanics

s of the talks on “Stochastic geometry and statistical mechanics”, January 27, 2010 Thierry Bodineau (Paris): On the equivalence of ensembles Equivalence of ensembles plays a crucial role in equilibrium statistical mechanics and in the justification of the Gibbs measures. We will first review some facts on the equivalence of ensembles and then address the question of its validity for non-equili...