40 citations · 150 across the 7 of their papers we have counts for
7 papers
Phase transitions in self-gravitating systems and bacterial populations surrounding a central body
P. H. Chavanis, J. Sopik, C. Sire
We study the nature of phase transitions in a self-gravitating classical gas in the presence of a central body. The central body can mimic a black hole at the center of a galaxy or…
Effective merging dynamics of two and three fluid vortices: Application to two-dimensional decaying turbulence
Clément Sire, Pierre-Henri Chavanis, Julien Sopik
We present a kinetic theory of two-dimensional decaying turbulence in the context of two-body and three-body vortex merging processes. By introducing the equations of motion for tw…
Pair-factorized steady states on arbitrary graphs
B. Waclaw, J. Sopik, W. Janke +1
Stochastic mass transport models are usually described by specifying hopping rates of particles between sites of a given lattice, and the goal is to predict the existence and prope…
Tuning the shape of the condensate in spontaneous symmetry breaking
B. Waclaw, J. Sopik, W. Janke +1
We investigate what determines the shape of a particle condensate in situations when it emerges as a result of spontaneous breaking of translational symmetry. We consider a model w…
Distance traveled by random walkers before absorption in a random medium
David S. Dean, Clément Sire, Julien Sopik
We consider the penetration length of random walkers diffusing in a medium of perfect or imperfect absorbers of number density . We solve this problem on a lattice and in th…
Dynamics of the Bose-Einstein condensation: analogy with the collapse dynamics of a classical self-gravitating Brownian gas
Julien Sopik, Clement Sire, Pierre-Henri Chavanis
We consider the dynamics of a gas of free bosons within a semi-classical Fokker-Planck equation for which we give a physical justification. In this context, we find a striking simi…