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Regular Separability of Well Structured Transition Systems [article]

Wojciech Czerwiński and Sławomir Lasota and Roland Meyer and Sebastian Muskalla and K Narayan Kumar and Prakash Saivasan
2018 arXiv   pre-print
We investigate the languages recognized by well-structured transition systems (WSTS) with upward and downward compatibility.  ...  Our first result shows that, under very mild assumptions, every two disjoint WSTS languages are regular separable: There is a regular language containing one of them and being disjoint from the other.  ...  Upward-Compatible Well-Structured Transition Systems.  ... 
arXiv:1702.05334v4 fatcat:vsg5lnkarna2fl4vsxlyk62ugm

Regular Separability of Well-Structured Transition Systems

Wojciech Czerwinski, Slawomir Lasota, Roland Meyer, Sebastian Muskalla, K. Narayan Kumar, Prakash Saivasan, Michael Wagner
2018 International Conference on Concurrency Theory  
We investigate the languages recognized by well-structured transition systems (WSTS) with upward and downward compatibility.  ...  Our first result shows that, under very mild assumptions, every two disjoint WSTS languages are regular separable: There is a regular language containing one of them and being disjoint from the other.  ...  Acknowledgements We thank an anonymous referee for pointing out Part (2) of Corollary 8. We thank Sylvain Schmitz for helpful discussions.  ... 
doi:10.4230/lipics.concur.2018.35 dblp:conf/concur/CzerwinskiLMMKS18 fatcat:ct3hzpifsneddbub5gcx2hwf3q

Geometrical approach for description of the mixed state in multi-well potentials [article]

V.P.Berezovoj, Yu.L.Bolotin, G.I.Ivashkevych
2006 arXiv   pre-print
Distinctive feature of such systems is coexistence of different types of dynamics (regular or chaotic) in different wells at the same energy Mixed state reveals unique opportunities in research of quantum  ...  We use so-called geometrical approach in description of transition from regular motion to chaotic in Hamiltonian systems with potential energy surface that has several local minima.  ...  According to this idea values of parameters of dynamical system, under which local instability arises, are identified as regularity-chaos transition values.  ... 
arXiv:nlin/0609020v3 fatcat:fxod6if62vg3zanznordzvogl4

Laws of volume elasticity of the physical processes and the parameter effect [article]

P.I. Polyakov
2015 arXiv   pre-print
dependencies, as well as to analyze the evolution of the dynamics of phase transitions and phase states.  ...  These regularities requires a fundamental understanding of the laws of interaction with respect to accepted interpretation of quantum mechanical forces of short range that are attributes of magnetism formation  ...  In this case, the regularity is the equality of to the temperature of the structural phase transition.  ... 
arXiv:1502.07473v1 fatcat:5ou53fpvcnabnikmvueohvmp7u

Linear laws of volume elasticity in the properties and structural phase transitions: physical process of the parameter effect (TPH) in magnet-structures [article]

Peter I. Polyakov
2013 arXiv   pre-print
The regularities of formation of a structural phase transition at 0 K are stated with separating the position of the triple point and the change of the properties and phase states with the elements of  ...  in sign alternating and crossing effects of elastic stress energy as well as their value for structural reorganizations at reversible volume changes (structural phase transformations of types I and II)  ...  taken as a basis for drawing analogies and correspondences in mechanisms and regularities of changes of structural phase transitions and properties of the mentioned multi-component magnet-containing systems  ... 
arXiv:1301.3327v1 fatcat:n75rog5gufel5lbqrsgdgcdio4

Heterogeneous Crystallization on Pairs of Pre-Structured Seeds

Swetlana Jungblut, Christoph Dellago
2016 Journal of Physical Chemistry B  
Studying the effects of small pre-structured seeds on the crystallization transition in an undercooled monodisperse Lennard-Jones fluid with transition interface path sampling combined with molecular dynamics  ...  For slightly squeezed seeds, the effects of the presence of seeds with face-and body-centered cubic structures are reduced in comparison to the regular seeds, and we do not see any effect of the presence  ...  For regular icosahedral seeds, the average seed-to-seed separation of freely moving seeds along the transition pathways increases with the system size.  ... 
doi:10.1021/acs.jpcb.6b06510 pmid:27479875 pmcid:PMC5011298 fatcat:44ixfsol4fgk7fzgy4u7zn5vfi

Multicomponent solution solidification with arrested phase separation model for liquid-to-glass transition [article]

Vladimir Belostotsky
2021 arXiv   pre-print
The essential feature of this process is that the attempts of the liquid and solid phases of the solidifying solution to separate out are largely arrested due to quenching.  ...  extent from the thermodynamic ground state with respect to the size, shape, density, structure, and stoichiometry.  ...  the glass-in-glass phase separation is well-known in multiple glass-forming systems, and it is considered as a metastable immiscibility in contrast to that of the stable immiscibility observed in aqueous  ... 
arXiv:1409.2906v4 fatcat:7jf4onwaxzcmlhvt5ifnywgf6u

Regularity and chaos at critical points of first-order quantum phase transitions

M. Macek, A. Leviatan
2011 Physical Review C  
We study the interplay between regular and chaotic dynamics at the critical point of a generic first-order quantum phase transition in an interacting boson model of nuclei.  ...  A quantum analysis of the spectra separates the regular states from the irregular ones, assigns them to particular phases, and discloses persisting regular rotational bands in the deformed region.  ...  Such global measures of quantum chaos are, however, insufficient to reflect the rich dynamics of an inhomogeneous phase space structure, as in Fig. 1 , with well separated regular and chaotic regions.  ... 
doi:10.1103/physrevc.84.041302 fatcat:z2cp4afjpne4tjx5uoildt34um

Chaotic dynamics in collective models of nuclei

P Stránský, M Macek, P Cejnar, A Frank, R Fossion, E Landa
2010 Journal of Physics, Conference Series  
The Peres method demonstrates the adiabatic separation of collective rotations in the IBM.  ...  one to distinguish ordered and disordered parts of spectra and to reveal main ordering principles of quantum states, (ii) the geometrical method to determine the position where the transition from order  ...  In addition, it appears that the study of chaos can help in understanding the dynamical structure of the systems and allows for observation of new phenomena, such as the quantum phase transitions [4]  ... 
doi:10.1088/1742-6596/239/1/012002 fatcat:44clvxprhjckfmdkpekyzhei24

Phase diagrams for three-strategy evolutionary prisoner's dilemma games on regular graphs

Attila Szolnoki, Matjaž Perc, György Szabó
2009 Physical Review E  
By reasonable costs the tit-for-tat strategy prevents extinction of cooperators across the whole span of b values determining the prisoner's dilemma game, irrespective of the interaction graph structure  ...  We also demonstrate that the system can exhibit a repetitive succession of oscillatory and stationary states upon changing a single payoff value, which highlights the remarkable sensitivity of cyclical  ...  Evolutionary game theory ͓13͔ provides a competent framework in which to investigate the success of different strategies or species in well-mixed as well as structured populations ͓14͔.  ... 
doi:10.1103/physreve.80.056104 pmid:20365040 fatcat:scpmlc5ouzbrnkjksled6ueice

Intrinsic ordering of quasienergy states for mixed regular/chaotic quantum systems: zeros of the Husimi distribution

H Wiescher, H J Korsch
1997 Journal of Physics A: Mathematical and General  
The corresponding classical system shows a typical mixed dynamics with coexisting regular and chaotic regions in phase space.  ...  A method is proposed which allows an intrinsic ordering of the quasienergy states for a time-periodic quantum system according to the number of essential zeros of the Husimi distribution in phase space  ...  Introduction Generically, a classical system shows an intimate mixture of regular and chaotic dynamics, the well known Poincaré scenario. The corresponding quantum behaviour is much less understood.  ... 
doi:10.1088/0305-4470/30/5/036 fatcat:x6hbsmqq5vh45phd372yv4orze

Critical Networks Exhibit Maximal Information Diversity in Structure-Dynamics Relationships

Matti Nykter, Nathan D. Price, Antti Larjo, Tommi Aho, Stuart A. Kauffman, Olli Yli-Harja, Ilya Shmulevich
2008 Physical Review Letters  
Network structure strongly constrains the range of dynamic behaviors available to a complex system.  ...  These system dynamics can be classified based on their response to perturbations over time into two distinct regimes, ordered or chaotic, separated by a critical phase transition.  ...  The structural organization, or topology, of a complex system strongly constrains the range of dynamical behaviors available to the system.  ... 
doi:10.1103/physrevlett.100.058702 pmid:18352443 fatcat:dg26kic2jfax5lxwicptw2gfky

Evolution of order and chaos across a first-order quantum phase transition

A. Leviatan, M. Macek
2012 Physics Letters B  
A quantum analysis discloses regular bands of states in the deformed region, which persist to energies well above the phase-separating barrier, in the face of a complicated environment.  ...  A classical analysis reveals a robustly regular dynamics confined to the deformed region and well separated from a chaotic dynamics ascribed to the spherical region.  ...  regular dynamics on the deformed side of the transition.  ... 
doi:10.1016/j.physletb.2012.06.046 fatcat:vlvwbfndpbh6xgtfw4qyflkys4

Signatures of quantum chaos in wave functions structure for multi-well 2D potentials

V.P. Berezovoj, Yu.L. Bolotin, V.A. Cherkaskiy
2004 Physics Letters A  
We propose a new approach to investigation of quantum manifestations of classical stochasticity (QMCS) in wave functions structure, which can be realized in potentials with two and more local minima.  ...  The main advantage of the proposed approach is the possibility to detect QMCS in comparison not different wave functions, but different parts of the same wave function.  ...  Till now there is practically no information on wave functions structure for generic Hamiltonian systems, including multi-well potentials.  ... 
doi:10.1016/j.physleta.2004.01.059 fatcat:aapsr4gxcbfrnai2f7lfvq2ksa

Nonequilibrium transitions in complex networks: A model of social interaction

Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San Miguel
2003 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
Thus in the thermodynamic limit the transition disappears. However, in structured scale-free networks, the phase transition between an ordered and a disordered phase is restored.  ...  We analyze the non-equilibrium order-disorder transition of Axelrod's model of social interaction in several complex networks.  ...  INTRODUCTION Lattice models are a powerful basic instrument in the study of phase transitions in equilibrium statistical mechanics, as well as in nonequilibrium systems ͓1͔.  ... 
doi:10.1103/physreve.67.026120 pmid:12636761 fatcat:miyodwdaebbrhnb6xkyjklnlqa
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