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Understanding quantum dynamics away from equilibrium is an outstanding challenge in the modern physical sciences. It is well known that out-of-equilibrium systems can display a rich array of phenomena, ranging from self-organized…

The phase behavior of symmetric diblock copolymers under three-dimensional (3D) soft confinement is investigated using the self-consistent field theory. The soft confinement is realized in binary blends composed AB diblock copolymers and C…

Soft Condensed Matter · Physics 2024-08-28 Zhijuan He , Jin Huang , Kai Jiang , An-Chang Shi

The simultaneous interplay of strong electron-electron correlations, topological zero-energy states, and disorder is yet an unexplored territory but of immense interest due to their inevitable presence in many materials. Copper oxide…

We show that in a neutral magnetized plasma there exist microscopic oscillatory modes, with wavelengths of the order of magnitude of the mean interparticle distance, which become unstable when the electron density exceeds a limit…

Plasma Physics · Physics 2010-06-24 M. Marino , M. Zuin , A. Carati , E. Martines , L. Galgani

Spherical micelle modified by cononsolvency effect is investigated by using self-consistent field theory (SCFT) and random phase approximation, which is formed by diblock copolymers consisted of one permanent hydrophobic block and one…

Soft Condensed Matter · Physics 2025-04-08 Xiangyu Zhang , Jing Zong , Dong Meng

This Article presents a nonequilibrium thermodynamic theory for the mean-field precipitation, aggregation and pattern formation of colloidal clusters. A variable gradient energy coefficient and the arrest of particle diffusion upon…

Soft Condensed Matter · Physics 2018-10-17 Thomas Petersen , Martin Z. Bazant , Roland J. M. Pellenq , Franz-Josef Ulm

Materials with correlated electrons often respond very strongly to external or internal influences, leading to instabilities and states of matter with broken symmetry. This behavior can be studied theoretically either by evaluating the…

Strongly Correlated Electrons · Physics 2017-08-15 J. Kunes , I. Leonov , P. Augustinsky , V. Krapek , M. Kollar , D. Vollhardt

A mesoscopic model of a diblock copolymer is used to study the stability of a uniform lamellar phase under a reciprocating shear flow. Approximate viscosity contrast between the microphases is allowed through a linear dependence of the…

Soft Condensed Matter · Physics 2009-11-07 Peilong Chen , Jorge Vinals

We study a Cahn-Hilliard model for phase separation in composite materials with multiple periodic microstructures. These are modeled by considering a highly oscillating potential. The focus of this paper is in the case where the scales of…

Analysis of PDEs · Mathematics 2026-02-16 Riccardo Cristoferi , Luca Pignatelli

In this paper we devise and analyze a mixed finite element method for a modified Cahn-Hilliard equation coupled with a non-steady Darcy-Stokes flow that models phase separation and coupled fluid flow in immiscible binary fluids and diblock…

Numerical Analysis · Mathematics 2013-12-24 Amanda E. Diegel , Xiaobing H. Feng , Steven M. Wise

Conduction electrons in disordered metals and heavily doped semiconductors at low temperatures preserve their phase coherence for a long time: phase relaxation time $\tau_\phi$ can be orders of magnitude longer than the momentum relaxation…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. L. Altshuler , M. E. Gershenson , I. L. Aleiner

Our study of FeSe$ _ {1-x}$Te$ _ {x}$ crystals with x $<$ 0.15 shows that the phase separation in these compositions occurs into phases with a different stoichiometry of iron. This phase separation may indicate structural instability of the…

A weakly charged flexible polyelectrolyte chain in a neutral spherical cavity is analyzed using self-consistent field theory (SCFT) within an explicit solvent model. Assuming the radial symmetry for the system, it is found that the…

Soft Condensed Matter · Physics 2009-11-13 Rajeev Kumar , M. Muthukumar

We discuss the interplay between a slow continuous drift of temperature, which induces continuous phase separation, and the non-linear diffusion term in the $\phi^4$-model for phase separation of a binary mixture. This leads to a bound for…

Statistical Mechanics · Physics 2012-05-31 Juergen Vollmer

The derivation of density functional energies from the random phase approximation of self-consistent mean field theory is generalized and applied to a binary blend of diblock copolymers and homopolymers. A nonlocal transformation is…

Soft Condensed Matter · Physics 2023-07-04 Sulin Wang , Yuan Chen , Zengqiang Tan , Keith Promislow

Traditional centralized stability analysis struggles with scalability in large complex modern power grids. This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we prove…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Xiaoyu Peng , Xi Ru , Hua Geng , Feng Liu

The preferential formation of one solid over the other, as it precipitates out from the melt at specific temperatures, is often explained by invoking a competition between thermodynamic and kinetic control. A quantitative theory, however,…

Statistical Mechanics · Physics 2018-09-10 Puja Banerjee , Biman Bagchi

We study morphologies of thin-film diblock copolymers between two flat and parallel walls. The study is restricted to the weak segregation regime below the order-disorder transition temperature. The deviation from perfect lamellar shape is…

Soft Condensed Matter · Physics 2009-11-07 Yoav Tsori , David Andelman

This work unravels the atomic details of the interaction of solute atoms with nanoscale crystalline defects. The complexity of this phenomenon is elucidated through detailed atom probe tomographic investigations on epitaxially-strained,…

Materials Science · Physics 2021-12-22 Samik Mukherjee , Simone Assali , Oussama Moutanabbir

For a diblock copolymer with total chain length $\gamma>0$ and mass ratio $m\in(-1,1)$, we consider the problem of minimizing the doubly nonlocal free energy $$ \mathcal{E}_{\varepsilon}(u) =\mathcal{H}(u) +\frac{1}{\varepsilon^{2s}}…

Analysis of PDEs · Mathematics 2020-11-16 Hardy Chan , Masomeh Jamshid Nejad , Juncheng Wei