[Paper Review] Hysteresis and nucleation in condensed matter

Yuri Mnyukh|arXiv (Cornell University)|Mar 11, 2011

nanoparticles nucleation surface interactions3 citations

TL;DR

This paper identifies nucleation lags—delayed formation of new phases due to kinetic barriers—as the exclusive physical origin of hysteresis in structural, ferromagnetic, and ferroelectric transitions, as well as in magnetization and polarization processes. It challenges the classical random fluctuation model, showing that hysteresis arises from interface-driven structural rearrangements linked to spin carrier orientation, explaining why magnetization by rotation is impossible and providing a unified mechanism for hysteresis loops in condensed matter systems.

ABSTRACT

The physical origin of hysteresis in condensed matter had not been previously identified. The current "science of hysteresis" is useful, but limited by phenomenological modeling. This article fills the void by revealing the exclusive cause of the hysteresis in structural, ferromagnetic and ferroelectric phase transitions, as well as upon magnetization in magnetic fields and polarization in electric fields. This exclusive cause is nucleation lags. The lags are inevitable due to the nucleation specifics, far from the classical "random fluctuation" model. A major assumption that spin orientation is determined by the orientation of its carrier explains why ferromagnetic transitions and magnetization in magnetic fields materialize by structural rearrangements at interfaces, as well as why magnetization by "rotation" is impossible. Formation of the structural and ferromagnetic hysteresis loops is considered in detail.

Motivation & Objective

• To identify the fundamental physical cause of hysteresis in condensed matter systems, which has remained unexplained despite extensive phenomenological modeling.
• To challenge the prevailing 'random fluctuation' model of nucleation by demonstrating that nucleation lags are inevitable due to intrinsic kinetic and structural constraints.
• To unify the understanding of hysteresis across structural, ferromagnetic, and ferroelectric phase transitions by linking it to interface-driven nucleation processes.
• To explain why magnetization by 'rotation' is physically impossible, based on the role of spin carrier orientation in nucleation dynamics.
• To provide a mechanistic, non-phenomenological explanation for the formation of hysteresis loops in magnetic and electric polarization processes.

Proposed method

• Analyzes phase transitions in condensed matter through the lens of nucleation kinetics, focusing on the delay between thermodynamic driving force and actual phase formation.
• Proposes that spin orientation is determined by the orientation of its carrier, leading to interface-mediated structural rearrangements during magnetization and phase transitions.
• Uses a non-equilibrium thermodynamic framework to model nucleation lags as the exclusive source of hysteresis, rejecting stochastic fluctuation models.
• Applies the concept to structural, ferromagnetic, and ferroelectric transitions, showing consistent mechanisms across systems.
• Derives the formation of hysteresis loops from the kinetic delay in nucleation, particularly at interfaces where new phases nucleate.

Experimental results

Research questions

• RQ1 What is the true physical origin of hysteresis in condensed matter, beyond phenomenological descriptions?
• RQ2 Why do nucleation processes in ferromagnetic and ferroelectric systems exhibit persistent hysteresis despite thermodynamic reversibility?
• RQ3 How does the orientation of spin carriers influence the mechanism of magnetization and phase transition propagation?
• RQ4 Why is magnetization by 'rotation' of magnetic moments physically impossible according to the proposed model?
• RQ5 Can nucleation lags alone explain the formation of hysteresis loops in structural, magnetic, and electric transitions?

Key findings

• Nucleation lags—due to kinetic barriers in phase formation—are identified as the exclusive cause of hysteresis in structural, ferromagnetic, and ferroelectric transitions.
• The classical 'random fluctuation' model of nucleation is rejected in favor of a deterministic, interface-driven mechanism rooted in spin carrier orientation.
• Magnetization cannot occur via simple rotation of magnetic moments because it requires structural rearrangements at interfaces, which are governed by nucleation lags.
• Hysteresis loops in ferromagnetic and ferroelectric systems arise from the same underlying mechanism: delayed nucleation at interfaces, not from intrinsic energy barriers alone.
• The model explains why hysteresis is universal across different condensed matter systems, providing a unified physical basis for diverse experimental observations.