Experiments done on polydisperse particles of cadmium selenide have recently shown that the particles form spherical isolated clusters with low polydispersity of cluster size. The computer simulation model of Xia et al. ( Nat. Nanotechnol. 2011 , 6 , 580 ) explaining this behavior used a short-range van der Waals attraction combined with a variable long-range screened electrostatic repulsion, depending linearly on the volume of the clusters. In this work, we term this dependence "linear renormalization" of the repulsive term, and we use advanced Monte Carlo simulations to investigate the kinetically slowed down phase separation in a similar but simpler model. We show that amorphous drops do not dissolve and crystallinity evolves very slowly under linear renormalization, and we confirm that low polydispersity of cluster size can also be achieved using this model. The results indicate that the linear renormalization generally leads to monodisperse clusters.
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http://dx.doi.org/10.1021/ct501067t | DOI Listing |
Commun Math Phys
January 2025
Institute of Mathematics, University of Zuerich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland.
We consider generalized interval exchange transformations (GIETs) of intervals which are , i.e. differentiably conjugated to standard interval exchange maps (IETs) via a diffeomorphism of [0, 1] and study the regularity of the conjugacy .
View Article and Find Full Text PDFNatl Sci Rev
December 2024
State Key Laboratory of Surface Physics and Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, Shanghai 200433, China.
The Mott-Ioffe-Regel limit sets the lower bound of the carrier mean free path for coherent quasiparticle transport. Metallicity beyond this limit is of great interest because it is often closely related to quantum criticality and unconventional superconductivity. Progress along this direction mainly focuses on the strange-metal behaviors originating from the evolution of the quasiparticle scattering rate, such as linear-in-temperature resistivity, while the quasiparticle coherence phenomena in this regime are much less explored due to the short mean free path at the diffusive bound.
View Article and Find Full Text PDFPhys Rev E
November 2024
Universidad Nacional de Mar del Plata, 7600 Mar del Plata, Buenos Aires, Argentina.
We analytically study the dynamic behavior of a linear mechanical energy harvester nonlinearly coupled to a linear oscillating mode, driven by stochastic Gaussian forces. Using renormalization theory and Feynman diagrams, we determine the renormalization of three key system parameters: the natural frequencies of the oscillating components and the parameter associated with the driving force amplitude. Our results show that random forces can induce the well-known internal resonance state, where the renormalized quantities exhibit a nontrivial dependence on the working frequency.
View Article and Find Full Text PDFProc Natl Acad Sci U S A
December 2024
Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Göttingen 37077, Germany.
Phenomenological rules that govern the collective behavior of complex physical systems are powerful tools because they can make concrete predictions about their universality class based on generic considerations, such as symmetries, conservation laws, and dimensionality. While in most cases such considerations are manifestly ingrained in the constituents, novel phenomenology can emerge when composite units associated with emergent symmetries dominate the behavior of the system. We study a generic class of active matter systems with nonreciprocal interactions and demonstrate the existence of true long-range polar order in two dimensions and above, both at the linear level and by including all relevant nonlinearities in the Renormalization Group sense.
View Article and Find Full Text PDFJ Chem Theory Comput
December 2024
Department of Chemical, Pharmaceutical and Agricultural Sciences, University of Ferrara, Via Borsari 76, I-44121 Ferrara, Italy.
The use of the mutual information (MI) as a measure of the entanglement in quantum systems has gained a consensus in recent years, even if there is an ongoing effort to distinguish the classical and quantum contributions contained therein. This quantity has been first introduced in condensed matter physics, in particular, in studies based on the density matrix renormalization group method. This method has been successfully adapted to quantum chemistry problems, opening the way to compute MI also in molecular systems.
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