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Page 4506 of Mathematical Reviews Vol. , Issue 97G [page]

1997 Mathematical Reviews  
Such phase transition phe- nomena appear to be ubiquitous.  ...  {For the entire collection see MR 96g:00021.} 97g:68092 68Q25 05C85 Gent, lan P. (4-STRA-C; Glasgow); Walsh, Toby The TSP phase transition.  ... 

Morphological characterization of patterns in reaction-diffusion systems

K. R. Mecke
1996 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
Therefore it is possible to describe the pattern transitions quantitatively and it may be possible to classify them in a similar way like thermodynamic phase transitions.  ...  They characterize the geometry and topology of the patterns and are capable to distinguish irregular structures with respect to the morphology.  ...  Thus the coefficients of the polynomials obey approximately 3) , and p (0) ϷϪp (2) , as one can see in Table I .  ... 
doi:10.1103/physreve.53.4794 pmid:9964807 fatcat:brdri3yfxvgpndbhrleqssy34i

An approximation for random surfaces on arbitrary target spaces [article]

Mark Wexler
1995 arXiv   pre-print
Accurate estimates for, e.g., γ_str are obtained both in the low q (c<1) and high q (branched polymer) regimes, including the logarithmic corrections to scaling.  ...  A perturbative technique, the low-temperature expansion, is developed for matrix models of random surfaces. It can be applied to models with arbitrary target spaces, including ones with c>1.  ...  I am grateful to LPTHE, Jussieu for its accueil chalereux and to Marco Picco for useful conversations of all kinds. The graphs used in this work were kindly provided by Brendan McKay.  ... 
arXiv:hep-th/9505087v1 fatcat:isglaeykdfgalppryjuidqm544

Studies in Aerodynamic Optimization Based on Genetic Algorithms

Alexandre P. Antunes, João Luiz F. Azevedo
2014 Journal of Aircraft  
Moreover, it can also be observed that the pressure drag component corresponds to approximately one-fifth of the friction drag for all transition cases shown in Table 3.  ...  of this system provides the polynomial coefficients, a; and b;.  ... 
doi:10.2514/1.c032095 fatcat:yy6jiuo2pfh6ji27jql6a33dhq

The transition between small and long fatigue crack behavior and its relation to microstructure

M CAPPELLI, R CARLSON, G KARDOMATEAS
2008 International Journal of Fatigue  
This point is defined as the transition from micro-structurally small to long crack growth and is shown to correspond to the point when the growing crack front intersects approximately 15 grains.  ...  The transition point from small to long crack behavior is experimentally studied in a single phase aluminum alloy.  ...  Russell Goddard for providing SEM micro-graphs of specimen fracture surfaces.  ... 
doi:10.1016/j.ijfatigue.2007.09.008 fatcat:masaazkxmjcb3ccziadwzqtyoy

Computer-aided analysis of conditions for optimizing practical electrorotation

Michael Pycraft Hughes
1998 Physics in Medicine and Biology  
By simulating the time-dependent electric field for polynomial electrodes, we have assessed the variation in torque across the centre of the array.  ...  By considering both the variation in applied torque and the dielectrophoretic force in the electrode chamber, the optimal conditions for electrorotation experiments have been determined.  ...  Ron Pethig and Drs Xiao-Bo Wang, Ying Huang, Julian Burt and Ka Lok Chan for their assistance and valuable discussions.  ... 
doi:10.1088/0031-9155/43/12/019 pmid:9869038 fatcat:rx5xurrcxra7xe7jbztt4dhyrq

Iterative Response Surface Based Optimization Scheme for Transonic Airfoil Design

Armando Vavalle, Ning Qin
2007 Journal of Aircraft  
In phase b) the sampled data are used as a support to build an approximation of these functions.  ...  Finally, Srivastava et al. [11] studied the predicting capability of kriging and quadratic polynomials to approximate objective and constraint functions for a large-scale problem as that of the high speed  ... 
doi:10.2514/1.19688 fatcat:ynmvjezvgzahvkxf2uo7rtvqiq

Photoelectron angular distributions from laser-excited aligned Yb atoms ionized by vacuum ultraviolet radiation

C Kerling, N Bowering, U Heinzmann
1990 Journal of Physics B: Atomic, Molecular and Optical Physics  
From polynomial fit coefficients for these distributions the ratio of reduced dipole matrix elements and the phaseshift difference for the transitions 6p+ E S and 6p+ Ed have been obtained at a photoelectron  ...  energy of 7.8 eV. 0953-4075/90/200629 +07%03.50  ...  The authors are indebted to Professor A M Bradshaw for his encouragement, his generous support and the hospitality at the Fritz-Haber Institut.  ... 
doi:10.1088/0953-4075/23/20/003 fatcat:es37vgpcrfhhzdfkpgitiulaje

How to Upscale The Kinetics of Complex Microsystems [article]

Ivan Kryven, Ariana Torres-Knoop
2019 arXiv   pre-print
The rate constants of chemical reactions are typically inferred from slopes and intersection points of observed concentration curves.  ...  Incidentally, we report that the kinetic parameters of this system feature a peculiar time and temperature dependences, whereas the probability of a network strand to close a cycle follows a universal  ...  Above the topological transition, when a sizeable portion of the system is connected with a path, the geometry of the network becomes a function of topology and, thus do not depend on the temperature or  ... 
arXiv:1810.06173v2 fatcat:gzb735vgkrdyddlcpp23bm4au4

Equilibrium mean-field-like statistical models with KPZ scaling [article]

Alexander Gorsky, Sergei Nechaev, Alexander Valov
2020 arXiv   pre-print
In all considered models, KPZ fluctuations emerge in presence of two complementary conditions: (i) the trajectories are pushed to a large deviation region of a phase space, and (ii) the trajectories are  ...  Specifically, we have considered fluctuations for: (i) Brownian excursions on non-uniform finite trees with linearly growing branching originating from the mean-field approximation of the Dumitriu-Edelman  ...  Tamm, and A. Vladimirov for numerous discussions and valuable comments. The work of was partially supported by the RFBR grant 18-29-13013.  ... 
arXiv:2005.02382v1 fatcat:p27vvfrlfvfblhtvifakze4doi

Interactions of Computational Complexity Theory and Mathematics [article]

Avi Wigderson
2017 arXiv   pre-print
We cover the following: ∙ Number Theory: Primality testing ∙ Combinatorial Geometry: Point-line incidences ∙ Operator Theory: The Kadison-Singer problem ∙ Metric Geometry: Distortion of embeddings ∙ Group  ...  In my view, the breadth, depth, beauty and novelty of these connections is inspiring, and speaks to a great potential of future interactions (which indeed, are quickly expanding). We aim for variety.  ...  ] beyond the phase transition.  ... 
arXiv:1710.09780v1 fatcat:js6k4t7gefcutfus6te4vxx6ty

Computation of topological phase diagram of disordered Pb_1-xSn_xTe using the kernel polynomial method [article]

Daniel Varjas, Michel Fruchart, Anton R. Akhmerov, Pablo Perez-Piskunow
2019 arXiv   pre-print
Our method enables the study of large complex compounds, where disorder is inherent to the system. We use it to analyse Pb_1-xSn_xTe and tighten the critical concentration for the phase transition.  ...  Based on the kernel polynomial method, our algorithm allows us to study samples with more than 10^7 degrees of freedom.  ...  We present an algorithm to efficiently identify topological phases of strongly disordered systems using the kernel polynomial method (KPM) [29] [30] [31] , an approximation based on a polynomial expansion  ... 
arXiv:1905.02215v2 fatcat:uxdagcv2zfcr3hxhsxnks6rjaq

On the use of the energy probability distribution zeros in the study of phase transitions [article]

L A S Mól, R G M Rodrigues, R A Stancioli, J C S Rocha, B V Costa
2017 arXiv   pre-print
This method is based on the partial knowledge of the partition function zeros and has been shown to be extremely efficient to precisely locate phase transition temperatures.  ...  This contribution is devoted to cover some technical aspects related to the use of the recently proposed energy probability distribution zeros in the study of phase transitions.  ...  Acknowledgments The authors thank CNPq, CAPES and FAPEMIG, Brazilian agencies, for partial support.  ... 
arXiv:1712.04434v1 fatcat:57x62ueup5dfzkyumprhvy5bsu

LOW-FREQUENCY QPOS AND POSSIBLE CHANGES IN THE ACCRETION GEOMETRY DURING THE OUTBURSTS OF AQUILA X−1

Wenda Zhang, Wenfei Yu
2015 Astrophysical Journal  
The characteristic frequencies increased by around ten percent per day in the early rising phase and accelerated to nearly one hundred percent per day since ∼2 days before the hard-to-soft state transition  ...  We examined the dependence of the frequency ν_LF on the source flux f and found an anti-correlation between the maximum frequency of the LFQPOs and the corresponding X-ray luminosity of the hard-to-soft  ...  phase of outburst rise before the hard-to-soft spectral state transition, respectively.  ... 
doi:10.1088/0004-637x/805/2/139 fatcat:p4hqaa42zrazzcwdmnhnafocya

Mirror symmetry and aG2flop

Mina Aganagic, Cumrun Vafa
2003 Journal of High Energy Physics  
This provides an effective method for geometric engineering of N=1 gauge theories for which mirror symmetry gives exact information about vacuum geometry.  ...  We also find a number of interesting dual descriptions.  ...  Moore, and E. Witten for valuable discussions. We would also like to thank the hospitality of the Physics department at Rutgers university where this work was completed.  ... 
doi:10.1088/1126-6708/2003/05/061 fatcat:he2itxrb3bhdhcb2toa27utasy
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