Analysis of Phase Transition Dynamics Under Temperature Controlled Conditions

2004 ◽  
Vol 01 (04) ◽  
pp. 747-768
Author(s):  
CHRISTIAN ROHDE ◽  
MAI DUC THANH

We construct approximate solutions of the initial value problem for dynamical phase transition problems via a variational scheme in one space dimension. First, we deal with a local model of phase transition dynamics which contains second and third order spatial derivatives modeling the effects of viscosity and surface tension. Assuming that the initial data are periodic, we prove the convergence of approximate solutions to a weak solution which satisfies the natural dissipation inequality. We note that this result still holds for non-periodic initial data. Second, we consider a model of phase transition dynamics with only Lipschitz continuous stress–strain function which contains a non-local convolution term to take account of surface tension. We also establish the existence of weak solutions. In both cases the proof relies on implicit time discretization and the analysis of a minimization problem at each time step.


HortScience ◽  
2000 ◽  
Vol 35 (1) ◽  
pp. 28-29 ◽  
Author(s):  
M. Oren-Shamir ◽  
L. Shaked-Sachray ◽  
A. Nissim-Levi ◽  
D. Weiss

Little is known about the effect of growth temperature on Aster (Compositae, Asteraceae) flower development. In this study, we report on this effect for two aster lines, `Suntana' and `Sungal'. Growth temperature had a dramatic effect on the duration of flower development, ranging from 22 days for plants growing at 29 °C up to 32 days for plants grown at 17 °C. Flower longevity was ≈40% shorter under the higher temperature for both lines. Growth temperature also affected flowerhead form: `Suntana' flowerhead diameter was 20% larger at 17 °C than at 29 °C. The number of `Sungal' florets per flowerhead was four times greater at the lower temperature. Shading (30%) under temperature-controlled conditions had no effect on any of the parameters measured. For plants grown outdoors, our results suggest that shading plants may increase quality by reducing the growth temperature.


2019 ◽  
Author(s):  
Tian Ma ◽  
Shouhong Wang

2013 ◽  
Vol 137 ◽  
pp. 278-285 ◽  
Author(s):  
Prafulla Patil ◽  
Harvind Reddy ◽  
Tapaswy Muppaneni ◽  
Sundaravadivelnathan Ponnusamy ◽  
Yingqiang Sun ◽  
...  

2019 ◽  
Vol 20 (14) ◽  
pp. 3560
Author(s):  
Zhongqi Ge ◽  
Ziyang Xiong ◽  
Dandan Zhang ◽  
Xialan Li ◽  
Guangya Zhang

Elastin-Like polypeptides (ELPs), as well-known temperature-controlled bio-macromolecules, are widely used. However, little is known about the interactions between ELPs and macromolecules, which is an important yet neglected problem. Here, the phase transition characteristics of an ELPs-SpyCatcher fusion protein (E-C) in the presence of polyethylene glycol (PEG) in single salts (Na2CO3, Na2SO4, NaCl) solutions were investigated using a UV spectrophotometer, DLC, and fluorescence spectroscopy, and we got some interesting results. The phases transition of E-C occurred at a concentration lower than 0.5 mol/L Na2CO3/PEG2000, while in single Na2CO3 (<0.5 mol/L), the phase transition of E-C did not occur. In the Na2CO3/PEG solution, we observed a unique two-step phase transition of E-C when the Na2CO3 concentration was 0.5 mol/L and PEG2000 concentration was less than 0.15 g/mL, respectively. In the Na2CO3/PEG2000 solution, the phase-transition temperature of E-C decreased with the increase of PEG concentration, but increased in the Na2SO4/PEG2000 solution, while it remained unchanged in the NaCl/PEG2000 solution. However, the phase-transition temperature of the linear ELPs40 decreased under the same salts/PEG2000 solutions. We also addressed the possible molecular mechanism of the interesting results. In contrast to the current well-understood salts-ELPs interactions, this work provides some new insights into the interaction between the PEG-salts-ELPs in solution.


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