Matches in SemOpenAlex for { <https://semopenalex.org/work/W2061882095> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2061882095 endingPage "1830" @default.
- W2061882095 startingPage "1817" @default.
- W2061882095 abstract "We introduce two kinds of discrete-time non-equilibrium lattice models (stochastic cellular automata), which we call the creation process eta t and the branching process eta . In special cases the former process can be identified with the site or bond directed percolation models. When the system is defined on a d-dimensional finite lattice with size L, these processes are determined by 2(Ld)*2(Ld) transition matrices, ML and ML, respectively. It is proved that subject to certain relations between the parameters of these models, ML and the transpose of ML are conjugate and thus the characteristic polynomials become equal to each other, det (ML- lambda E)=det(ML- lambda E), for arbitrary L>or=n, where E is the identity matrix. Since dynamical critical exponents as well as critical values will be determined by the asymptotic behaviour in the limit L to infinity of the large eigenvalues of the transition matrix, our result implies that, if continuous phase transitions and critical phenomena are observed, these two processes belong to the same universality class. In proving the equality, we use the relation which is called the coalescing duality in probability theory." @default.
- W2061882095 created "2016-06-24" @default.
- W2061882095 creator A5001289757 @default.
- W2061882095 creator A5001680314 @default.
- W2061882095 creator A5052518376 @default.
- W2061882095 date "1995-04-07" @default.
- W2061882095 modified "2023-09-26" @default.
- W2061882095 title "Duality and universality in non-equilibrium lattice models" @default.
- W2061882095 cites W1965567167 @default.
- W2061882095 cites W1966199956 @default.
- W2061882095 cites W1968822259 @default.
- W2061882095 cites W1972371087 @default.
- W2061882095 cites W1975567121 @default.
- W2061882095 cites W1982945628 @default.
- W2061882095 cites W1988995258 @default.
- W2061882095 cites W1991713258 @default.
- W2061882095 cites W1994188924 @default.
- W2061882095 cites W1995770673 @default.
- W2061882095 cites W1996757984 @default.
- W2061882095 cites W2009143408 @default.
- W2061882095 cites W2011292049 @default.
- W2061882095 cites W2013239615 @default.
- W2061882095 cites W2013332149 @default.
- W2061882095 cites W2018470009 @default.
- W2061882095 cites W2025126259 @default.
- W2061882095 cites W2025786790 @default.
- W2061882095 cites W2028759241 @default.
- W2061882095 cites W2045464293 @default.
- W2061882095 cites W2047829591 @default.
- W2061882095 cites W2047842897 @default.
- W2061882095 cites W2051314659 @default.
- W2061882095 cites W2080891439 @default.
- W2061882095 cites W2083301987 @default.
- W2061882095 cites W2087844778 @default.
- W2061882095 cites W2143367059 @default.
- W2061882095 cites W3102781811 @default.
- W2061882095 cites W3127516292 @default.
- W2061882095 doi "https://doi.org/10.1088/0305-4470/28/7/007" @default.
- W2061882095 hasPublicationYear "1995" @default.
- W2061882095 type Work @default.
- W2061882095 sameAs 2061882095 @default.
- W2061882095 citedByCount "2" @default.
- W2061882095 crossrefType "journal-article" @default.
- W2061882095 hasAuthorship W2061882095A5001289757 @default.
- W2061882095 hasAuthorship W2061882095A5001680314 @default.
- W2061882095 hasAuthorship W2061882095A5052518376 @default.
- W2061882095 hasConcept C114614502 @default.
- W2061882095 hasConcept C121332964 @default.
- W2061882095 hasConcept C121864883 @default.
- W2061882095 hasConcept C149288129 @default.
- W2061882095 hasConcept C158693339 @default.
- W2061882095 hasConcept C164154869 @default.
- W2061882095 hasConcept C183992945 @default.
- W2061882095 hasConcept C202444582 @default.
- W2061882095 hasConcept C24890656 @default.
- W2061882095 hasConcept C2778113609 @default.
- W2061882095 hasConcept C2781204021 @default.
- W2061882095 hasConcept C33923547 @default.
- W2061882095 hasConcept C37914503 @default.
- W2061882095 hasConcept C62520636 @default.
- W2061882095 hasConcept C68532491 @default.
- W2061882095 hasConceptScore W2061882095C114614502 @default.
- W2061882095 hasConceptScore W2061882095C121332964 @default.
- W2061882095 hasConceptScore W2061882095C121864883 @default.
- W2061882095 hasConceptScore W2061882095C149288129 @default.
- W2061882095 hasConceptScore W2061882095C158693339 @default.
- W2061882095 hasConceptScore W2061882095C164154869 @default.
- W2061882095 hasConceptScore W2061882095C183992945 @default.
- W2061882095 hasConceptScore W2061882095C202444582 @default.
- W2061882095 hasConceptScore W2061882095C24890656 @default.
- W2061882095 hasConceptScore W2061882095C2778113609 @default.
- W2061882095 hasConceptScore W2061882095C2781204021 @default.
- W2061882095 hasConceptScore W2061882095C33923547 @default.
- W2061882095 hasConceptScore W2061882095C37914503 @default.
- W2061882095 hasConceptScore W2061882095C62520636 @default.
- W2061882095 hasConceptScore W2061882095C68532491 @default.
- W2061882095 hasIssue "7" @default.
- W2061882095 hasLocation W20618820951 @default.
- W2061882095 hasOpenAccess W2061882095 @default.
- W2061882095 hasPrimaryLocation W20618820951 @default.
- W2061882095 hasRelatedWork W1696008502 @default.
- W2061882095 hasRelatedWork W1802381864 @default.
- W2061882095 hasRelatedWork W2025660918 @default.
- W2061882095 hasRelatedWork W2030212890 @default.
- W2061882095 hasRelatedWork W2040232110 @default.
- W2061882095 hasRelatedWork W2091211037 @default.
- W2061882095 hasRelatedWork W2139318754 @default.
- W2061882095 hasRelatedWork W2794967168 @default.
- W2061882095 hasRelatedWork W2891343530 @default.
- W2061882095 hasRelatedWork W3103831764 @default.
- W2061882095 hasVolume "28" @default.
- W2061882095 isParatext "false" @default.
- W2061882095 isRetracted "false" @default.
- W2061882095 magId "2061882095" @default.
- W2061882095 workType "article" @default.