منابع مشابه
1 a Dynamical Theory of Markovian Diffusion ∗
Continuous Markov processes, a well developed field of mathematics [1]–[6], have not yet had their full impact on modern physics. The earliest of these, developed by Einstein [7], Smoluchowski [8], and later refined by Wiener [9] were the original attempts to model diffusion. They did not have a simple phase space interpretation, and as a result were considered unphysical. The Ornstein-Uhlenbec...
متن کاملNon-Markovian Quantum State Diffusion
A nonlinear stochastic Schrödinger equation for pure states describing non-Markovian diffusion of quantum trajectories and compatible with non-Markovian master equations is presented. This provides an unravelling of the evolution of any quantum system coupled to a finite or infinite number of harmonic oscillators without any approximation. Its power is illustrated by several examples, including...
متن کاملTurbulent Diffusion in Markovian Flows
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متن کاملA Theory of Testing for Markovian Processes
We present a testing theory for Markovian processes in order to formalize a notion of efficiency which may be useful for the analysis of soft real time systems. Our Markovian testing theory is shown to enjoy close connections with the classical testing theory of De NicolaHennessy and the probabilistic testing theory of Cleaveland-Smolka et al. The Markovian testing equivalence is also shown to ...
متن کاملAlmost sure exponential stability of stochastic reaction diffusion systems with Markovian jump
The stochastic reaction diffusion systems may suffer sudden shocks, in order to explain this phenomena, we use Markovian jumps to model stochastic reaction diffusion systems. In this paper, we are interested in almost sure exponential stability of stochastic reaction diffusion systems with Markovian jumps. Under some reasonable conditions, we show that the trivial solution of stocha...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 1979
ISSN: 0378-4371
DOI: 10.1016/0378-4371(79)90007-4