Related Experiment Video
Updated: Jun 20, 2026

Challenges in Rheological Characterization of Highly Concentrated Suspensions — A Case Study for Screen-printing Silver Pastes
Published on: April 10, 2017
Equations of state and stability condition of mixed p-spin glass model
1Shahid Beheshti University, Department of Physics, Evin, Tehran 1983969411, Iran.
Abstract:
The Sherrington-Kirkpatrick (SK) model is a foundational model for understanding spin glass systems. It is based on the pairwise interaction between each two spins in a fully connected lattice with quenched disordered interactions. The SK model, as an infinite-range model, simplifies the study of this system by eliminating fluctuations. An advanced SK model, known as the p-spin model, introduces higher-order interactions that involve the interaction of P spins. This study focuses on the general Hamiltonian of the spin glass model with infinite-range interactions, referred to as the mixed p-spin glass model, which consists of adding all p-spin interaction terms. This study aims to derive the equations of state for this Hamiltonian, formulate the equations of state within the framework of the first replica symmetry breaking, and determine both the stability condition of the replica symmetric solution and the stability of the replicas belonging to the same group in the first step of replica symmetry breaking. Additionally, this study considers two special cases. The first case is a mixed p-spin glass model in which all interactions are normally distributed around zero. The second case focuses on the SK model compound with perturbative higher-order interactions to investigate how these interactions influence the phase transition.
Related Concept Videos
Stability of Equilibrium Configuration: Problem Solving
Problem-solving in the context of the stability of equilibrium configuration...
Stability of Equilibrium Configuration
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
Atomic Nuclei: Nuclear Spin State Population Distribution
Valence Bond Theory
Equilibrium Conditions for a Particle
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
Variables and Equations of State

