Kinetics model for leaching of ion-adsorption type rare earth ores

P Long, G Wang, C Zhang, Y Yang, X Cao, Z Shi - Journal of Rare Earths, 2020‏ - Elsevier
This paper aims to establish a mathematical model that can analyze the whole leaching
kinetics process of ion-adsorption type rare earth ores. This leaching process is composed …

Translation‐invariant generalized P‐adic Gibbs measures for the Ising model on Cayley trees

F Mukhamedov, O Khakimov - Mathematical Methods in the …, 2021‏ - Wiley Online Library
In the present paper, we analyze the occurrence of a phase transition by the use of ap‐adic
probability theory. To carry out this research, generalized p‐adic Gibbs measures are …

The-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures

FM Mukhamedov, MM Rahmatullaev… - Theoretical and …, 2023‏ - Springer
We consider the generalized Gibbs measures corresponding to the-adic Ising model in an
external field on the Cayley tree of order two. It is established that if, then there exist three …

On equation xq= a over Qp

F Mukhamedov, M Saburov - Journal of Number Theory, 2013‏ - Elsevier
On equation xq=a over Qp Page 1 Journal of Number Theory 133 (2013) 55–58 Contents lists
available at SciVerse ScienceDirect Journal of Number Theory www.elsevier.com/locate/jnt On …

Phase transitions for p-adic Potts model on the Cayley tree of order three

F Mukhamedov, H Akın - Journal of Statistical Mechanics: Theory …, 2013‏ - iopscience.iop.org
In the present paper, we study a phase transition problem for the q-state p-adic Potts model
over the Cayley tree of order three. We consider a more general notion of p-adic Gibbs …

On periodic p-adic generalized Gibbs measures for Ising model on a Cayley tree

M Rahmatullaev, A Tukhtabaev - Letters in Mathematical Physics, 2022‏ - Springer
In the present paper, we consider ap-adic Ising model on a Cayley tree of order three. The
existence of G k (2)-periodic non-translation-invariant p-adic generalized Gibbs measures of …

Periodic p-adic Gibbs Measures of q-State Potts Model on Cayley Trees I: The Chaos Implies the Vastness of the Set of p-Adic Gibbs Measures

MAK Ahmad, L Liao, M Saburov - Journal of Statistical Physics, 2018‏ - Springer
We study the set of p-adic Gibbs measures of the q-state Potts model on the Cayley tree of
order three. We prove the vastness of the set of the periodic p-adic Gibbs measures for such …

On Descriptions of All Translation Invariant p−adic Gibbs Measures for the Potts Model on The Cayley Tree of Order Three

M Saburov, MA Khameini Ahmad - Mathematical Physics, Analysis and …, 2015‏ - Springer
Unlike the real number field, a set of p− adic Gibbs measures of p− adic lattice models of
statistical mechanics has a complex structure in a sense that it is strongly tied up with a …

pp‐Adic phase transitions for countable state Potts model

F Mukhamedov, O Khakimov - Mathematical Methods in the …, 2023‏ - Wiley Online Library
The statistical mechanical models with finitely many spin values have several applications in
many areas of natural science. One of the most studied models is the Potts model, which has …

Chaos in p-adic Statistical Lattice Models: Potts Model

F Mukhamedov, O Khakimov - … Analysis and Applications: The p-adic …, 2021‏ - Springer
It is known that models of interacting systems have been intensively studied in the last years
and new methodologies have been developed in the attempt to understanding their …