4 citations · 4 across the 4 of their papers we have counts for
4 papers
Cluster size distribution in the autocatalytic growth model
Jakub Jȩdrak
We generalize the model of transition-metal nanocluster growth in aqueous solution, proposed recently [Phys. Rev. E \textbf{87}, 022132 (2013)]. In order to model time evolution of…
Exact solutions of kinetic equations in an autocatalytic growth model
Jakub Jȩdrak
Kinetic equations are introduced for the transition-metal nanocluster nucleation and growth mechanism, as proposed by Watzky and Finke. Equations of this type take the form of Smol…
Construction of density operator for a general mean-field Hamiltonian and its application to the models of correlated fermions
Jakub Jȩdrak, Jozef Spałek
We analyze a class of mean-field (MF) lattice-fermion Hamiltonians and construct the corresponding grand-canonical density operator for such system. New terms are introduced, which…
On some mathematical identities resulting from evaluation of the partition function for an electron moving in a periodic lattice
Jakub Jȩdrak
We consider a simple model of the dynamics of a single electron in a crystal lattice. Although this is a standard problem in condensed matter physics, alternative ways of evaluatin…