Lattice models of statistical mechanics and their applications

QR Code

Lattice models of statistical mechanics and their applications

Lattice models are caricatures invented to illuminate various aspects of elementary statistical mechanics, especially the phenomena of phase transitions and spon- taneously broken symmetry. This paper is an attempt to present the basic ideas of the subject and its application to a wider audience.

Bibliographic Details
Main Author:	Ganikhodjaev, Nasir
Format:	Proceeding Paper
Language:	English
Published:	2011
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/1738/ http://irep.iium.edu.my/1738/1/ORS_keynote_address.pdf

Similar Items

The miracle in the Iron and the Ising model of the Ferromagnet on regular lattice Z^2
by: Ganikhodjaev, Nasir
Published: (2011)

Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields
by: Ganikhodjaev, Nasir
Published: (2011)

On nonlinear dynamic systems arising in Lattice models of statistical mechanics on a Cayley tree
by: Ganikhodjaev, Nasir
Published: (2009)

The Z_6-symmetric model partition function on triangular lattice
by: Mohd Manshur, Nor Sakinah, et al.
Published: (2020)

Lattice models on Cayley tree with competing interactions
by: Ganikhodjaev, Nasir
Published: (2017)

Lattice gas and thermodynamics in models of heredity
by: Ganikhodjaev, Nasir
Published: (2011)

Lattice gas and thermodynamics in models of heredity
by: Ganikhodjaev, Nasir
Published: (2012)

The zeros distribution of Z_5-symmetric model on a triangular lattice
by: Zakaria, Siti Fatimah, et al.
Published: (2020)

Rock-paper-scissors lattice model
by: Ganikhodjaev, Nasir
Published: (2019)

Zeros of the 3-state Potts model partition function for the square lattice revisited
by: Martin, Paul Purdon, et al.
Published: (2019)

Rock-Paper-Scissors Lattice Model
by: Ganikhodjaev, Nasir, et al.
Published: (2020)

Phase diagrams of multicomponent lattice models
by: Ganikhodjaev, Nasir, et al.
Published: (2006)

Lattice models with competing interactions
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

Extreme Gibbs measures of the Vannimenus model
by: Ganikhodjaev, Nasir
Published: (2011)

On exactly solvable phases of models with competing interactions
by: Ganikhodjaev, Nasir
Published: (2019)

Phase diagram of the Potts Model with competing interactions
by: Ganikhodjaev, Nasir
Published: (2009)

Phase diagram of the Potts Model with competing interactions
by: Ganikhodjaev, Nasir
Published: (2009)

Introduction to lattice statistical mechanics
by: Ganikhodjaev, Nasir, et al.
Published: (2016)

Phase transitions in the Blume-Emery-Griffiths-Vannimenus model on the Cayley Tree
by: Ganikhodjaev, Nasir
Published: (2012)

Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions
by: Ganikhodjaev, Nasir
Published: (2011)

On some dynamic systems arising in lattice models with competing ternary interactions
by: Ganikhodjaev, Nasir
Published: (2009)

Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management
by: Abdul Hadi, Muhammad Salihi, et al.
Published: (2016)

Lattice models on cayley tree with competing interactions
by: Ganikhodjaev, Nasir, et al.
Published: (2018)

Study of localized solutions of the nonlinear discrete model for dipolar Bose-Einstein condensate in an optical lattice by the homoclinic orbit method
by: Messikh, Azeddin, et al.
Published: (2012)

Phase diagram of the Ising model with next-nearest-neighbour interactions
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

Phase diagram of the Ising model next-nearest-neighbour interactions
by: Ganikhodjaev, Nasir, et al.
Published: (2010)

Griffith-Kelly-Sherman correlation inequalities for generalized Potts model
by: Ganikhodjaev, Nasir, et al.
Published: (2010)

Ising model with restricted interactions on general Cayley tree of arbitrary order
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

Potts model with competing interactions on a Cayley tree of k-th order
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

Ising model on a general Cayley tree with competing next-nearest-neighbour interactions
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

On paramagnetic phases of Potts Model on a Bethe Lattice in the presence of competing interactions
by: Ganikhodjaev, Nasir, et al.
Published: (2012)

On paramagnetic phases of the Potts model on a Bethe lattice in the presence of competing interactions
by: Ganikhodjaev, Nasir, et al.
Published: (2013)

Phase transition in ferromagnetic lattice models on a Cayley tree with non-uniform external magnetic fields
by: Ganikhodjaev, Nasir
Published: (2011)

Potts model with the simplest modulated phase
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

On extreme Gibbs measures of the Vannimenus model
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

Lattice models on the Cayley tree with competing interactions up to the third-nearest-neighbors with spins belonging to the different branches of the tree
by: Ganikhodjaev, Nasir
Published: (2015)

Periodic extreme Gibbs measures with memory length 2 of Vannimenus model
by: Akin, Hasan, et al.
Published: (2011)

A renormalization-group study of the Potts model with competing ternary and binary interactions
by: Ganikhodjaev, Nasir, et al.
Published: (2011)

Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order
by: Uguz, Selman, et al.
Published: (2012)

Limit behavior of dynamic systems corresponding to lattice models with competing prolonged and one-level binary interaction
by: Zakaria, Fatimah, et al.
Published: (2011)