We discuss the nature of phase transitions in self-gravitating systems. We show the
connection between the binary star model of Padmanabhan, the thermodynamics of stellar …

Understanding the origin of irreversibility in thermodynamics has been a fundamental
scientific challenge and puzzle for nearly a century. Initially, the discussions related to …

We study a general class of nonlinear mean field Fokker-Planck equations in relation with
an effective generalized thermodynamical (EGT) formalism. We show that these equations …

We discuss the nature of phase transitions in the fermionic King model which describes
tidally truncated quantum self-gravitating systems. This distribution function takes into …

We study the dynamics of a system of overdamped Brownian particles governed by the
generalized stochastic Smoluchowski equation associated with a generalized form of …

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 a rocky …

We discuss the dynamics and thermodynamics of the Hamiltonian Mean Field model (HMF)
which is a prototypical system with long-range interactions. The HMF model can be seen as …

We developed a theory of fluctuations for Brownian systems with weak long-range
interactions. For these systems, there exists a critical point separating a homogeneous …

Abstract The Gross–Pitaevskii–Poisson equations that govern the evolution of self-
gravitating Bose–Einstein condensates, possibly representing dark matter halos, experience …

We discuss the nature of quasi-stationary states (QSS) with non-Boltzmannian distribution in
systems with long-range interactions in relation with a process of incomplete violent …