phase space

How To Use phase space In A Sentence

• Let us see how physical determinism is to be interpreted in terms of phase space.
• Then chaotic behaviour recurs, with the phase space trajectories being initially confined to bands and subsequently filling a whole region.
• This spreading effect in phase space has another remarkable implication.
• Ellipses in phase space — curves of constant energy — then become isomorphism classes, because the oscillator motion is periodic, and for any A and B connected by a morphism, you can find another time evolution which takes B back into A. Arrow of Time FAQ
• a multidimensional phase space
• If it can be assumed that the probability of the microstate being in a given subregion of the macrostate is proportional to the phase space volume of the subregion, this gives Einstein's fluctuation formula. Information Processing and Thermodynamic Entropy
• Relying upon the instability of trajectories, one tries to show that a region of phase points representing the possible micro-states for a system prepared in a non-equilibrium condition will, if the constraints are changed, eventually evolve into a set of phase points that is "coarsely" spread over the entire region of phase space allowed by the changed constraints. Philosophy of Statistical Mechanics
• The form of chaotic attractor as well as the performance of phase space location modulation are analysed. The system model and implementation is also described.
• Thus, the trick is not even to try even in the case of the phase space for a single particle.
• They cover discrete and continuous time equations, linear models and linearization, qualitative analysis and phase space, bifurcations, and delay equations.