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Catalysis, the acceleration of product formation by a substance that is left unchanged, typically results from multiple elementary processes, including diffusion of the reactants toward the catalyst, chemical steps, and release of the…

化学物理 · 物理学 2023-12-27 Yann Sakref , Maitane Muñoz-Basagoiti , Zorana Zeravcic , Olivier Rivoire

We study an energy relaxation process after many degrees of freedom are excited in a Hamiltonian system with a large number of degrees of freedom. Bottlenecks of relaxation, where relaxations of the excited elements are drastically slowed…

统计力学 · 物理学 2009-11-10 Hidetoshi Morita , Kunihiko Kaneko

The combination of the compactness of networks, featuring small diameters, and their complex architectures results in a variety of critical effects dramatically different from those in cooperative systems on lattices. In the last few years,…

统计力学 · 物理学 2009-11-13 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Phase transitions are the macroscopic manifestation of microscopic processes that drive a system towards a new state. The detailed evolution of these processes, particularly in abrupt phase transitions, are currently not fully understood.…

物理与社会 · 物理学 2026-01-21 Leyang Xue , Shengling Gao , Bnaya Gross , Orr Levy , Daqing Li , Zengru Di , Lazaros K. Gallos , Shlomo Havlin

With potential relevance to biomechanics, an interesting problem in statistical mechanics not previously solved is a binary mechanical model system. Discrete chemical states of proteins are often associated with discrete metastable…

统计力学 · 物理学 2025-01-22 Josh E. Baker

In this article we review classical and recent results in anomalous diffusion and provide mechanisms useful for the study of the fundamentals of certain processes, mainly in condensed matter physics, chemistry and biology. Emphasis will be…

We study the electric double layer by combining the effects of ion finite size and dielectric decrement. At high surface potential, both mechanisms can cause saturation of the counter-ion concentration near a charged surface. The modified…

软凝聚态物质 · 物理学 2015-03-31 Yasuya Nakayama , David Andelman

We consider integro-differential models describing the evolution of a population structured by a quantitative trait. Individuals interact competitively, creating a strong selection pressure on the population. On the other hand, mutations…

偏微分方程分析 · 数学 2012-03-20 Pierre-Emmanuel Jabin

Phase transitions are fundamental features of statistical physics. While the well-studied continuous phase transitions are known to be controlled by external \textit{macroscopic} changes in the order parameter, the origin of abrupt…

Adding plasticizers is a well-known procedure to reduce the glass transition temperature in polymers. It has been recently shown that this effect shows a non-monotonic dependence on the size of additive molecules [The Journal of Chemical…

软凝聚态物质 · 物理学 2020-06-24 Elias M. Zirdehi , Thomas Voigtmann , Fathollah Varnik

Recently the first chemical systems which show the amplification of enantiometric excess (ee) was found. Inspired by these experiments, we propose a few chemical reaction models in a closed system. The reactions consist of autocatalytic…

生物物理 · 物理学 2007-05-23 Yukio Saito , Hiroyuki Hyuga

Recently it has been demonstrated that the connectivity transition from microscopic connectivity to macroscopic connectedness, known as percolation, is generically announced by a cascade of microtransitions of the percolation order…

无序系统与神经网络 · 物理学 2016-01-25 Malte Schröder , Wei Chen , Jan Nagler

The paper is focused on the discussion of the phenomenon of transitional chaos in dynamic autonomous and non-autonomous systems. This phenomenon involves the disappearance of chaotic oscillations in specific time periods and the system…

混沌动力学 · 物理学 2026-02-10 Marek Berezowski

We discuss recent progress in the theoretical description of chemotaxis by coupling the diffusion equation of a chemical species to equations describing the motion of sensing microorganisms. In particular, we discuss models for…

软凝聚态物质 · 物理学 2019-02-05 B. Liebchen , H. Löwen

Classical theories of chemical kinetics assume independent reactions in dilute solutions, whose rates are determined by mean concentrations. In condensed matter, strong interactions alter chemical activities and create inhomogeneities that…

材料科学 · 物理学 2013-04-17 Martin Z. Bazant

There are many processes in biology in which mechanical forces are generated. Force-bearing networks can transduce locally developed mechanical signals very extensively over different parts of the cell or tissues. In this article we conduct…

生物大分子 · 定量生物学 2009-11-13 Francesco Valle , Massimo Sandal , Bruno Samorí

The causes of major and rapid transitions observed in biological macroevolution as well as in the evolution of social systems are a subject of much debate. Here we identify the proximate causes of crashes and recoveries that arise…

适应与自组织系统 · 物理学 2009-11-07 Sanjay Jain , Sandeep Krishna

We introduce a simple zero-range process with constant rates and one fast rate for a particular occupation number, which diverges with the system size. Surprisingly, this minor modification induces a condensation transition in the…

概率论 · 数学 2025-01-07 Watthanan Jatuviriyapornchai , Stefan Grosskinsky

We study the spatial patterns formed by interacting biological populations or reacting chemicals under the influence of chaotic flows. Multiple species and nonlinear interactions are explicitly considered, as well as cases of smooth and…

混沌动力学 · 物理学 2009-11-07 Emilio Hernandez-Garcia , Cristobal Lopez , Zoltan Neufeld

By using the point model of reaction kinetics we have studied the stochastic properties of the lifetime of small systems controlled by autocatalytic reaction A+X -> X+X -> A+X, X -> B. Assuming that a system is living only when the number…

统计力学 · 物理学 2007-05-23 L. Pal