DAMAGE HEALING IN SINGLE COMPONENT IRREVERSIBLE REACTION PROCESSES

The spreading of a globally distributed damage, created in the stationary regime, is studied in single component irreversible reaction processes on one-dimensional lattices. Each model exhibits an irreversible phase transition between a stationary reactive state and an inactive (absorbing) state. It is found that the processes are immune in the sense that even 100% of initial damage is healed within a finite healing period (T H ). Within the reactive regime, T H diverges when approaching criticality and the corresponding exponent is independent of the process, i.e. it seems to be universal for one-component systems.

Download Full-text

On the absorbing-state phase transition in the one-dimensional triplet creation model

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2009/08/p08024 ◽

2009 ◽

Vol 2009 (08) ◽

pp. P08024 ◽

Cited By ~ 9

Author(s):

Géza Ódor ◽

Ronald Dickman

Keyword(s):

Phase Transition ◽

One Dimensional ◽

Absorbing State ◽

The One

Download Full-text

Note: Solution of one-dimensional self-assembly problem in multiple-component systems with correction of overcounting of non-symmetrical complexes

The Journal of Chemical Physics ◽

10.1063/1.3653978 ◽

2011 ◽

Vol 135 (15) ◽

pp. 156101 ◽

Cited By ~ 5

Author(s):

Yong Kong

Keyword(s):

Self Assembly ◽

One Dimensional ◽

Component Systems ◽

Multiple Component ◽

Assembly Problem

Download Full-text

On the effect of axial diffusion on the residence time distributions in an isothermal one-dimensional reactor where a first order reversible or irreversible reaction takes place

Chemical Engineering Science ◽

10.1016/0009-2509(74)85034-7 ◽

1974 ◽

Vol 29 (1) ◽

pp. 91-96 ◽

Cited By ~ 3

Author(s):

Á. Pethö ◽

K. Schügerl

Keyword(s):

Residence Time ◽

Axial Diffusion ◽

One Dimensional ◽

Irreversible Reaction ◽

First Order ◽

Residence Time Distributions

Download Full-text

Phenomenological Approach to Flow and Volume Change in Soils and Other Media

Applied Mechanics Reviews ◽

10.1115/1.3005045 ◽

1995 ◽

Vol 48 (10) ◽

pp. 650-658 ◽

Cited By ~ 6

Author(s):

J. R. Philip

Keyword(s):

Volume Change ◽

Colloidal Particles ◽

Three Dimensional ◽

Phenomenological Approach ◽

Solid Particles ◽

Soil Physics ◽

One Dimensional ◽

Component Systems ◽

Poisson Boltzmann Equation ◽

The One

We review the phenomenological approach, on the macroscopic or Darcy scale, to flow and volume change in clays and other swelling media. The formulation represents the generalization to media subject to volume change of the well-established phenomenological approach to flow in non-swelling media primarily established in the context of soil physics. The one-dimensional generalization to swelling media is straightforward, and may be usefully applied to practical one-dimensional systems, including three-component systems with solid particles, water, and air. On the other hand, the further generalizations to two- and three-dimensional systems have not yet been developed fully convincingly. Difficult questions include the mode of stress transmission and the tensorial stress-strain relations in multidimensional and multi-component systems. One means of gaining insight into these questions for media of high colloid content (such as clays) is through relevant solutions of the Poisson-Boltzmann equation governing electrical double-layer interactions in dense arrays of colloidal particles. These solutions give pertinent information on both the macroscopic and the microscopic scales. We present a progress report on work along these lines.

Download Full-text

Availability Analysis of Single-Component Systems with Various Failure and Repair Distributions

International Journal of Mechanical Engineering Education ◽

10.7227/ijmee.31.3.7 ◽

2003 ◽

Vol 31 (3) ◽

pp. 258-268 ◽

Cited By ~ 1

Author(s):

Singiresu S. Rao ◽

David E. Foster

Keyword(s):

Monte Carlo Simulation ◽

Monte Carlo ◽

Steady State ◽

Exponential Distribution ◽

Hazard Function ◽

Probability Distributions ◽

Single Component ◽

Engineering Profession ◽

Availability Analysis ◽

Component Systems

Due to the demands on the engineering profession, all products and systems are expected to satisfy certain availability requirements. The availability is a measure of the readiness of a product or system for use at any specified time. In this work, the availability of single-component systems is addressed. Monte Carlo simulation is used to estimate the availability of the system, assuming that the failure and repair times follow exponential, normal (Gaussian), and uniform probability distributions. The results are compared. Although the availability functions look very different, the steady-state availability is the same for all. Also, the availability of a component whose hazard function follows the bathtub curve is estimated, and it is found that the exponential distribution is not a good approximation, especially at the earliest stages of operation.

Download Full-text

Dynamics of damage spreading in irreversible reaction processes

Physical Review Letters ◽

10.1103/physrevlett.72.108 ◽

1994 ◽

Vol 72 (1) ◽

pp. 108-111 ◽

Cited By ~ 19

Author(s):

Ezequiel V. Albano

Keyword(s):

Damage Spreading ◽

Irreversible Reaction ◽

Reaction Processes

Download Full-text

Dissipative structures in one dimensional pseudo‐one component systems

The Journal of Chemical Physics ◽

10.1063/1.433876 ◽

1977 ◽

Vol 66 (12) ◽

pp. 5551-5556 ◽

Cited By ~ 7

Author(s):

M. P. Hanson

Keyword(s):

Dissipative Structures ◽

One Dimensional ◽

Component Systems

Download Full-text

Combined Use of Two Single-Component Enzymatic Time-Temperature Integrators: Application to Industrial Continuous Rotary Processing of Canned Ravioli

Journal of Food Protection ◽

10.4315/0362-028x-68.2.375 ◽

2005 ◽

Vol 68 (2) ◽

pp. 375-383 ◽

Cited By ~ 8

Author(s):

YANN GUIAVARC'H ◽

FRANÇOIS ZUBER ◽

ANN VAN LOEY ◽

MARC HENDRICKX

Keyword(s):

Heat Transfer ◽

Standard Deviation ◽

Single Component ◽

Transfer Model ◽

Liquid Food ◽

One Dimensional ◽

Temperature Recording ◽

Combined Use ◽

Explicit Finite Difference ◽

Time Temperature Integrator

Two original, highly dehydrated, small single-component enzymatic time-temperature integrator (TTI) systems, TTIL and TTIS, were prepared. Their z-values were 13.9 and 16.4°C, respectively, and they were based on Bacillus licheniformis αamylase and Bacillus subtilis α-amylase, respectively. The isothermal calibration of these two TTIs revealed that (i) they can be used in the temperature range of 100 to 140°C, (ii) results can be read within 5 min, and (iii) they can be used individually for the measurements of process values 13.9°CF121.1°C and 16.4°CF121.1°C up to 98 min and 85 min, respectively. Because these two TTIs have different z-values above 10°C, they could be used in combination with the multicomponent TTI concept to estimate process values 10°CF121.1°C inside particles of a solid or liquid food submitted to rotary processing. Raviolis in tomato sauce sterilized in an industrial-scale reel and spiral continuous retort were examined in this study. Two methods, based on the combination of a one-dimensional explicit finite difference heat-transfer model with the experimental responses of the TTIs, were used to take into account the possible deviations in evaluation of 10°CF121.1°C values. A process value 10°CF121.1°C of 23.6 min with a standard deviation of 1.5 min was determined inside raviolis using the multicomponent TTI approach, and a process value 10°CF121.1°C of 33.6 min with a standard deviation of 1.5 min inside the sauce was calculated from the temperature recording data.

Download Full-text