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Three-dimensional icosahedral random tilings with rhombohedral cells are studied in the semi-entropic model. We introduce a global energy measure defined by the variance of the quasilattice points in the orthogonal space. The internal…

Condensed Matter · Physics 2007-05-23 W. Ebinger , J. Roth , H. -R. Trebin

A general formalism for the treatment of density fluctuations in Coulomb plasmas is presented and applied to the treatment of temperature relaxation in multi-component quantum plasmas when the separate components (electrons and ions) relax…

Plasma Physics · Physics 2015-10-06 Basil Crowley

The non equilibrium relaxational dynamics of the solid on solid model on a disordered substrate and the Sine Gordon model with random phase shifts is studied numerically. Close to the super-roughening temperature $T_g$ our results for the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Heiko Rieger

Chain-like macromolecules in solution, whether biological or synthetic, transform from an extended conformation to a compact one when temperature or other system parameters change. This collapse transition is relevant in various phenomena,…

Soft Condensed Matter · Physics 2026-05-18 Yanyan Zhu , Haim Diamant , David Andelman

We report grand canonical Monte Carlo simulations of the critical point properties of homopolymers within the Bond Fluctuation model. By employing Configurational Bias Monte Carlo methods, chain lengths of up to N=60 monomers could be…

Condensed Matter · Physics 2009-10-28 N. B. Wilding , M. Mueller , K. Binder

This dissertation develops, for several families of statistical mechanical and random growth models, techniques for analyzing infinite-volume asymptotics. In the statistical mechanical setting, we focus on the low-temperature phases of spin…

Probability · Mathematics 2021-08-27 Erik Bates

Long linear polymers in dilute solutions are known to undergo a collapse transition from a random coil (expand itself) to a compact ball (fold itself up) when the temperature is lowered, or the solvent quality deteriorates. A natural model…

Probability · Mathematics 2015-06-12 Gia Bao Nguyen , Nicolas Petrelis

Amorphous materials such as metallic, polymeric, and colloidal glasses, exhibit complex preparation-dependent mechanical response to applied shear. We perform numerical simulations to investigate the mechanical response of binary…

Statistical Mechanics · Physics 2017-09-13 Meng Fan , Kai Zhang , Jan Schroers , Mark D. Shattuck , Corey S. O'Hern

We present a statistical model of a dilute polymer solution in good solvent in the presence of low-molecular weight cosolvent. We investigate the conformational changes of the polymer induced by a change of the cosolvent concentration and…

Statistical Mechanics · Physics 2014-11-10 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , M. G. Kiselev

Dynamical behavior of the clusters during relaxation is studied in two-dimensional Potts model using cluster algorithm. Average cluster size and cluster formation velocity are calculated on two different lattice sizes for different number…

High Energy Physics - Lattice · Physics 2015-06-25 Yigit Gunduc , Meral Aydin

Polymers are an effective test-bed for studying topological constraints in condensed matter due to a wide array of synthetically-available chain topologies. When linear and ring polymers are blended together, emergent rheological properties…

Soft Condensed Matter · Physics 2024-04-25 Daniel L. Vigil , Ting Ge , Michael Rubinstein , Thomas C. O'Connor , Gary S. Grest

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…

Statistical Mechanics · Physics 2009-11-07 F. Gobet , S. Ciliberto , T. Dauxois

An ultra-strong coupling regime takes place in a compound system when a coupling strength between the subsystems exceeds one tenth of the system eigenfrequency. It transforms into a deep-strong coupling regime when the coupling strength…

Quantum Physics · Physics 2023-04-03 T. T. Sergeev , A. A. Zyablovsky , E. S. Andrianov , Yu. E. Lozovik

We investigate the conformational and dynamical properties of a partially active Rouse chain, where activity is localized within a specific segment, positioned at various locations along the chain and spanning any given length. Through…

Soft Condensed Matter · Physics 2024-12-06 Koushik Goswami , Norman Hsia , Cheng-Hung Chang , Hong-Yan Shih

In this experimental work, the thermodynamics and self-organization of classical two-dimensional Coulomb clusters are studied as a function of the cluster size. The experiments are carried out in a DC glow discharge Argon plasma in the…

Plasma Physics · Physics 2021-07-28 M. G. Hariprasad , P. Bandyopadhyay , Garima Arora , A. Sen

Recently, a theoretical framework known as {\it ballistic macroscopic fluctuation theory} has been developed to study large-scale fluctuations and correlations in many-body systems exhibiting ballistic transport. In this paper, we review…

Statistical Mechanics · Physics 2025-10-01 Anupam Kundu

This work is inspired by a recent study of a two-dimensional stochastic fragmentation model. We show that the configurational entropy of this model exhibits log-periodic oscillations as a function of the sample size, by exploiting an exact…

Statistical Mechanics · Physics 2024-05-24 Jean-Marc Luck

It is common to study polymer physics through the use of idealized single-chain models, and the most popular of these is the freely jointed chain model. In certain thermodynamic ensembles, statistical mechanical treatment of this model is…

Statistical Mechanics · Physics 2026-04-14 Michael R. Buche , Alvin Chen

Slowing down of the relaxation of the fluctuations around equilibrium is investigated both by stochastic simulations and by analysis of Master equation of reversible reaction networks consisting of resources and the corresponding products…

Statistical Mechanics · Physics 2015-05-18 Akinori Awazu , Kunihiko Kaneko

The kinetic behavior of a three-dimensional off-lattice heteropolymer model is studied in terms of the time dependence of the average mean-square displacement between configurations. It is found that at short time-scales similar behavior is…

Soft Condensed Matter · Physics 2008-02-03 O. Sommelius