Geometric variational problems of statistical mechanics and of combinatorics
10 pagesWe present the geometric solutions of the various extremal problems of statistical mechanics and combinatorics. Together with the Wulff construction, which predicts the shape of the crystals, we discuss the construction which exhibits the shape ...
Shlosman, Senya, Senya Shlosman
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Nonequilibrium statistical mechanics of anharmonic crystals with self-consistent stochastic reservoirs [PDF]
We consider a d-dimensional crystal with an arbitrary harmonic interaction and an anharmonic on-site potential, with stochastic Langevin heat bath at each site. We develop an integral formalism for the correlation functions that is suitable for the study of their relaxation (time decay) as well as their behavior in space. Furthermore, in a perturbative
Pereira, Emmanuel, Falcao, Ricardo
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Limit of validity of Ostwald's rule of stages in a statistical mechanical model of crystallization [PDF]
We have only rules of thumb with which to predict how a material will crystallize, chief among which is Ostwald's rule of stages. It states that the first phase to appear upon transformation of a parent phase is the one closest to it in free energy.
Hedges, Lester O., Whitelam, Stephen
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Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
wiley +1 more source
Structural and biochemical analysis of a B12 superbinder
BtuG proteins are vitamin B12 scavengers in Bacteroides thetaiotaomicron, a dominant human gut bacterium. We present crystal structures of three BtuG homologs bound to cobalamin and its precursor cobinamide, revealing picomolar binding affinities, among the highest known for any natural protein.
Jose M. Martinez Felices +3 more
wiley +1 more source
The equilibrium shape of a crystal is a fundamental problem in materials science and condensed matter physics. The Wulff construction, a cornerstone of crystal morphology prediction, is traditionally presented and utilized as a powerful geometric ...
Hao Wu, Zhong-Can Ou-Yang
doaj +1 more source
Statistical mechanical model of gas adsorption in porous crystals with dynamic moieties [PDF]
Significance Some nanoporous, crystalline materials possess dynamic/flexible constituents, for example, a ligand that can rotate. Much like the induced-fit model of enzyme–substrate binding in biology, these dynamic moieties often change conformation when gas molecules adsorb.
Simon, Cory M. +3 more
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The Shewanella oneidensis Fic enzyme SoFic targets the switch‐I region of EF‐Tu for AMPylation
Fic enzymes mediate diverse post‐translational modifications across all domains of life, including AMPylation. Prokaryotic EF‐Tu can be AMPylated and deAMPylated by the conserved Fic enzyme SoFic. Structural and biochemical approaches were used to characterize the effect of AMPylation on EF‐Tu, SoFic's enzymatic activities, and the enzyme‐target ...
Svenja Runge +6 more
wiley +1 more source
A Field Guide to Recent Work on the Foundations of Statistical Mechanics. [PDF]
This is an extensive review of recent work on the foundations of statistical ...
Frigg, Roman, Roman Frigg
core
Nonequilibrium statistical mechanics of one-dimensional turbulence
The method of statistical mechanics is applied to the study of the one-dimensional model of turbulence proposed in an earlier paper. The closure problem is solved by the variational approach which has been developed for the three-dimensional case ...
Qian J, J. Qian
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