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NON EQUILIBRIUM DENSITY PROFILES IN LORENTZ TUBES WITH THERMOSTATED BOUNDARIES
EQUILIBRIUM DENSITY PROFILES THERMOSTATED BOUNDARIES
2015/9/29
We consider a long Lorentz tube with absorbing boundaries.
Particles are injected to the tube from the left end. We compute the equilibrium density pro les in two cases: the semi-in nite tube (in whi...
Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit
continuous system binary jumps non-equilibrium dynamics correlation functions scaling limit Vlasov scaling Poisson measure
2011/9/15
Abstract: Let $\Gamma$ denote the space of all locally finite subsets (configurations) in $\mathbb R^d$. A stochastic dynamics of binary jumps in continuum is a Markov process on $\Gamma$ in which pai...
Equilibrium balking strategies in the single server Markovian queue with catastrophes
Queueing, Catastrophes Balking Nash equilibrium strategies Social optimization
2011/9/2
Abstract: We consider a Markovian queue subject to Poisson generated catastrophes. Whenever a catastrophe occurs, all customers are forced to abandon the system, the server is rendered inoperative and...
On the speed of approach to equilibrium for a collisionless gas
Free-molecular gas Approach to equilibrium Diffuse reflection
2010/12/7
We investigate the speed of approach to Maxwellian equilibrium for a collisionless gas enclosed in a vessel whose wall are kept at a uniform,constant temperature, assuming diffuse reflection of gas mo...
The role of the central limit theorem in discovering sharp rates of convergence to equilibrium for the solution of the Kac equation
Berry–Esseen inequalities central limit theorem
2010/12/8
In Dolera, Gabetta and Regazzini [Ann. Appl. Probab. 19 (2009)186–201] it is proved that the total variation distance between the solution f(·, t) of Kac’s equation and the Gaussian density (0,2) has...