Driven fragmentation of granular gases

The dynamics of homogeneously heated granular gases which fragment due to particle collisions is analyzed. We introduce a kinetic model which accounts for correlations induced at the grain collisions and analyze both the kinetics and relevant distribution functions these systems develop. The work combines analytical and numerical studies based on direct simulation Monte Carlo calculations. A broad family of fragmentation probabilities is considered, and its implications for the system kinetics are discussed. We show that generically these driven materials evolve asymptotically into a dynamical scaling regime. If the fragmentation probability tends to a constant, the grain number diverges at a finite time, leading to a shattering singularity. If the fragmentation probability vanishes, then the number of grains grows monotonously as a power law. We consider different homogeneous thermostats and show that the kinetics of these systems depends weakly on both the grain inelasticity and driving. We observe that fragmentation plays a relevant role in the shape of the velocity distribution of the particles. When the fragmentation is driven by local stochastic events, the longvelocity tail is essentially exponential independently of the heating frequency and the breaking rule. However, for a Lowe-Andersen thermostat, numerical evidence strongly supports the conjecture that the scaled velocity distribution follows a generalized exponential behavior f (c)~exp (−cⁿ), with n ≈1.2, regarding less the fragmentation mechanisms

Advance directives as autonomy enhancers: reality or myth?

In the last few decades there has been a wealth of literature and legislation on advance directives. As you all know, it is an instrument by which a person can express their wishes as regards what treatmentthey should be given or, more to the point, not to be given, when he is in a situation when he can not do so himself.Regulations in the western world seem to promote advance directives as a way to enhance patient¿s autonomy in thecontext of human rights, and the media has presented advance directives as another milestone in this era of selfdetermination.However, if we look closely at some of thoseregulations we will see that there are a few elements which may undermine their efficacy, shattering this nicely presentedpicture. I will focus on two elements. First, formal requirements, and secondly, certain limits or what I like to call "escape clauses".

Advance directives as autonomy enhancers: reality or myth?

In the last few decades there has been a wealth of literature and legislation on advance directives. As you all know, it is an instrument by which a person can express their wishes as regards what treatmentthey should be given or, more to the point, not to be given, when he is in a situation when he can not do so himself.Regulations in the western world seem to promote advance directives as a way to enhance patient¿s autonomy in thecontext of human rights, and the media has presented advance directives as another milestone in this era of selfdetermination.However, if we look closely at some of thoseregulations we will see that there are a few elements which may undermine their efficacy, shattering this nicely presentedpicture. I will focus on two elements. First, formal requirements, and secondly, certain limits or what I like to call "escape clauses".

Advance directives as autonomy enhancers: reality or myth?

In the last few decades there has been a wealth of literature and legislation on advance directives. As you all know, it is an instrument by which a person can express their wishes as regards what treatmentthey should be given or, more to the point, not to be given, when he is in a situation when he can not do so himself.Regulations in the western world seem to promote advance directives as a way to enhance patient¿s autonomy in thecontext of human rights, and the media has presented advance directives as another milestone in this era of selfdetermination.However, if we look closely at some of thoseregulations we will see that there are a few elements which may undermine their efficacy, shattering this nicely presentedpicture. I will focus on two elements. First, formal requirements, and secondly, certain limits or what I like to call "escape clauses".