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Catalysis-driven synthetic molecular motors operate in a loose mechanochemical coupling regime, one in which a decomposition of a fuel molecule does not reliably produce a forward step. In that regime, stochastic backward steps can…

Statistical Mechanics · Physics 2026-01-16 Geyao Gu , Drew Alvarez , John Strahan , Alex Albaugh , Emanuele Penocchio , Todd R. Gingrich

The apparent difficulty of designing simple autocatalysts that grow exponentially in the absence of enzymes, external drives or ingenious internal mechanisms severely constrains scenarios for the emergence of evolution by natural selection…

Biomolecules · Quantitative Biology 2024-03-29 Yann Sakref , Olivier Rivoire

Enzymes show two distinct transport behaviors in the presence of their substrates in solution. First, their diffusivity enhances with increasing substrate concentration. In addition, enzymes perform directional motion toward regions with…

Biological Physics · Physics 2018-11-06 Farzad Mohajerani , Xi Zhao , Ambika Somasundar , Darrell Velegol , Ayusman Sen

A growing amount of evidence points to the fact that many enzymes exhibit fluctuations in their catalytic activity, which are associated with conformational changes on a broad range of timescales. The experimental study of this phenomenon,…

Quantitative Methods · Quantitative Biology 2017-07-28 Ankit Gupta , Andreas Milias-Argeitis , Mustafa Khammash

Quantum catalysis is a fascinating concept which demonstrates that certain transformations can only become possible when given access to a specific resource that has to be returned unaffected. It was first discovered in the context of…

Quantum Physics · Physics 2021-03-31 Patryk Lipka-Bartosik , Paul Skrzypczyk

The adoption of detailed mechanisms for chemical kinetics often poses two types of severe challenges: First, the number of degrees of freedom is large; and second, the dynamics is characterized by widely disparate time scales. As a result,…

Dynamical Systems · Mathematics 2025-10-01 Eliodoro Chiavazzo , C. William Gear , Carmeline J. Dsilva , Neta Rabin , Ioannis G. Kevrekidis

A protocell model consisting of mutually catalyzing molecules is studied in order to investigate how chemical compositions are transferred recursively through cell divisions under replication errors. Depending on the path rate, the numbers…

Condensed Matter · Physics 2009-11-10 Kunihiko Kaneko

Universal intermittent dynamics in a random catalytic reaction network, induced by smallness in the molecule number is reported. Stochastic simulations for a random catalytic reaction network subject to a flow of chemicals show that the…

Statistical Mechanics · Physics 2009-02-20 Akinori Awazu , Kunihiko Kaneko

We propose a model that describes cyclic state transitions of a micromachine driven by a catalytic chemical reaction. We consider a mechano-chemical coupling of variables representing the degree of a chemical reaction and the internal state…

Soft Condensed Matter · Physics 2021-06-16 Kento Yasuda , Shigeyuki Komura

Different simplified and detailed chemical models and their impact on simulations of combustion regimes initiating by the initial temperature gradient in methane/air mixtures are studied. The limits of the regimes of reaction wave…

Chemical Physics · Physics 2018-11-20 Cheng Wang , Chengeng Qian , JianNan Liu , Mikhail A. Liberman

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.…

Physics and Society · Physics 2026-01-21 Leyang Xue , Shengling Gao , Bnaya Gross , Orr Levy , Daqing Li , Zengru Di , Lazaros K. Gallos , Shlomo Havlin

The coherent control of scattering processes is considered, with electron impact dissociation of H$_2^+$ used as an example. The physical mechanism underlying coherently controlled stationary state scattering is exposed by analyzing a…

Quantum Physics · Physics 2009-11-13 Michael Spanner , Paul Brumer

It has been pointed out that if an autocatalytic cycle produces primitive membrane chemicals, it can compose a self-maintaining proto cell. Moreover, it is known that a proto cell can divide itself spontaneously as it grows. An unsolved…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 N. Ono , T. Ikegami

Catalytic coherence transformations allow the otherwise impossible state transformations using only incoherent operations with the aid of an auxiliary system with finite coherence which is not being consumed in anyway. Here we find the…

Quantum Physics · Physics 2016-04-21 Kaifeng Bu , Uttam Singh , Junde Wu

A central question is how the conformational changes of proteins affect their function and the inhibition of this function by drug molecules. Many enzymes change from an open to a closed conformation upon binding of substrate or inhibitor…

Biomolecules · Quantitative Biology 2013-02-19 Thomas R. Weikl , Bahram Hemmateenejad

The paper gives a systematic analysis of singularities of transition processes in dynamical systems. General dynamical systems with dependence on parameter are studied. A system of relaxation times is constructed. Each relaxation time…

chao-dyn · Physics 2009-01-28 A. N. Gorban

The kinetic processes in nanoparticle-based catalysis are dominated by large fluctuations and spatiotemporal heterogeneities, in particular for diffusion-influenced reactions which are far from equilibrium. Here, we report results from…

Chemical Physics · Physics 2020-11-03 Yi-Chen Lin , Won Kyu Kim , Joachim Dzubiella

We investigate the kinetics of systems in which particles of one species undergo binary fragmentation and pair annihilation. In the latter, nonlinear process, fragments react at collision to produce an inert species, causing loss of mass.…

Condensed Matter · Physics 2009-10-28 Joao A. N. Filipe , Geoff J. Rodgers

Chemical reactions involve the movement of charges, and this work presents a mathematical model for describing chemical reactions in electrolytes. The model is developed using an energy variational method that aligns with classical…

Chemical Physics · Physics 2023-11-02 Shixin Xu , Robert Eisenberg , Zilong Song , Huaxiong Huang

We study a catalytic branching process (CBP) with any finite set of catalysts. This model describes a system of particles where the movement is governed by a Markov chain with arbitrary finite or countable state space and the branching may…

Probability · Mathematics 2016-03-18 Ekaterina Vl. Bulinskaya
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