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The conformations of interacting linear polymers on a dynamical planar random lattice are studied using a random two-matrix model. An exact expression for the partition function of self-avoiding chains subject to attractive contact…

凝聚态物理 · 物理学 2008-02-03 Simon Dalley

The phase behaviour of blends of ABC triblock and ac diblock copolymers is examined using self-consistent field theory. Several equilibrium lamellar structures are observed, depending on the volume fraction of the diblocks, phi_2, the…

软凝聚态物质 · 物理学 2009-11-07 Robert A. Wickham , An-Chang Shi

We study a directed polymer model in a random environment on infinite binary trees. The model is characterized by a phase transition depending on the inverse temperature. We concentrate on the asymptotics of the partition function in the…

概率论 · 数学 2012-05-04 Tom Alberts , Marcel Ortgiese

The phase behaviour of binary blends composed of A$_1$B$_1$ and A$_2$B$_2$ diblock copolymers is systematically studied using the polymeric self-consistent field theory, focusing on the formation and relative stability of various spherical…

软凝聚态物质 · 物理学 2021-09-01 Jiayu Xie , Yu Li , An-Chang Shi

The self-assembly behaviour of a diblock copolymer-diblock copolymer mixture under an oscillating shear field is investigated via cell dynamics simulation. The results indicate that the macrophase separation of the composite system is…

软凝聚态物质 · 物理学 2024-07-02 Y. Guo , H. He , X. Fu

Smart polymers are a modern class of polymeric materials that often exhibit unpredictable behavior in mixtures of solvents. One such phenomenon is co-non-solvency. Co-non-solvency occurs when two (perfectly) miscible and competing good…

软凝聚态物质 · 物理学 2015-06-23 Debashish Mukherji , Carlos M. Marques , Torsten Stuehn , Kurt Kremer

Application of "complete scaling" [Kim et al., Phys. Rev. E 67, 061506 (2003); Anisimov and Wang, Phys. Rev. Lett. 97, 25703 (2006)] to the interfacial behavior of fluids shows that Tolman's length, a curvature correction to the surface…

统计力学 · 物理学 2007-05-23 M. A. Anisimov

Monte Carlo simulations in the grand canonical ensemble were used to obtain critical parameters and conditions leading to microphase separation for block copolymers with solvophilic and solvophobic segments. Solvent selectivity was…

软凝聚态物质 · 物理学 2024-09-13 Athanassios Z. Panagiotopoulos

We study the universal real-time relaxation behaviors of a long-range quantum XY chain following a quench. Our research includes both the noncritical and critical quench. In the case of noncritical quench, i.e., neither the initial state…

统计力学 · 物理学 2023-12-05 Yu-Huang Huang , Yin-Tao Zou , Chengxiang Ding

We study the diffusion of a linear polymer in the presence of permeable membranes without excluded volume interactions, using scaling theory and Monte Carlo simulations. We find that the average time it takes for a chain with polymerization…

凝聚态物理 · 物理学 2016-08-31 Hyoungsoo Yoon , J. M. Deutsch

Quantum anomalies are violations of classical scaling symmetries caused by quantum fluctuations. Although they appear prominently in quantum field theory to regularize divergent physical quantities, their influence on experimental…

Complex interactions leading to phase transitions continue to hold a due interest in the scientific community. We charactersize a phase transition in a coupled oscillators model where interactions are not local in nature. At a first order…

适应与自组织系统 · 物理学 2025-08-26 Ayushi suman , Sarika Jalan

A brief review of our recent studies aiming at a better understanding of the scaling behaviour of polymers in disordered environments is given. The main emphasis is on a simple generic model where the polymers are represented by…

软凝聚态物质 · 物理学 2014-11-19 V. Blavatska , N. Fricke , W. Janke

Mixtures of ideal polymers with hard spheres whose diameters are smaller than the radius of gyration of the polymer, exhibit extensive immiscibility. The interfacial tension between demixed phases of these mixtures is estimated, as is the…

软凝聚态物质 · 物理学 2009-11-07 Richard P. Sear

We study the conformational properties of heteropolymers containing two types of monomers A and B, modeled as self-avoiding random walks on a regular lattice. Such a model can describe in particular the sequences of hydrophobic and…

无序系统与神经网络 · 物理学 2014-09-01 Viktoria Blavatska , Wolfhard Janke

Vitrimers are a class of crosslinked polymer that are capable of undergoing bond exchange reactions, allowing structural reorganization while maintaining overall network integrity. Two key features that are particularly relevant when this…

软凝聚态物质 · 物理学 2025-09-09 Abhishek S. Chankapure , Rahul Karmakar , Srikanth Sastry , Sanat K. Kumar , Tarak K. Patra

Non-equilibrium diffusive systems are known to exhibit long-range correlations, which decay like the inverse 1/L of the system size L in one dimension. Here, taking the example of the ABC model, we show that this size dependence becomes…

统计力学 · 物理学 2015-05-30 Antoine Gerschenfeld , Bernard Derrida

We study energy relaxation in a phenomenological model for polymer built from rheological considerations: a one dimensional nonlinear lattice with dissipative couplings. These couplings are well known in polymer's community to be possibly…

统计力学 · 物理学 2009-11-07 F. Gobet , S. Ciliberto , T. Dauxois

We consider particle oscillations and their damping in second-quantized form. We find that the damping or "decoherence" may be described by a Boltzmann-like collision integral with "non-abelian blocking factors" (fermions). Earlier results…

高能物理 - 唯象学 · 物理学 2008-11-26 G. Raffelt , G. Sigl , L. Stodolsky

Biological systems commonly combine intrinsically out-of-equilibrium active components with passive polymeric inclusions to produce unique material properties. To explore these composite systems, idealized models - such as polymers in…

软凝聚态物质 · 物理学 2025-03-27 Zahra K. Valei , Tyler N. Shendruk