FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2274318974> ?p ?o ?g. }

• W2274318974 abstract "In the present work the asymmetric random average process (ARAP) is considered. This nonequilibrium model is defined on a one-dimensional periodic lattice and equipped with a stochastic nearest neighbour interaction. Its characteristics are continuous and unbounded state variables called masses. The local dynamics is given by asymmetric shifts of mass fragments whereby the transferred mass fragments are determined by an arbitrary probability density function φ called fraction density. We start with a formal definition of the ARAP and show that a lot of stochastic models can be formulated in terms of the ARAP by using suitable fraction densities. Focused on the ARAP with uniform φ-function exact solutions are derived by applying the matrix product ansatz for stochastic processes. We restrict to parallel dynamics, but allow for continuous and discrete masses. In case of continuous state variables we obtain a new kind of matrix algebra given by a functional equation. Furthermore, we determine analytically the complete set of ARAPs with exact product measure solutions. Here we restrict to state-independent fraction densities. Our results are derived for systems with parallel dynamics of arbitrary system size and adopted to continuous time dynamics. In addition, we establish the connection to the q-model of granular media and present an approximation method for arbitrary state-independent fraction densities. Finally, a simple truncated ARAP is introduced and studied. Here the transferred mass is restricted by a cutoff. We investigate this model by Monte-Carlo simulations, supplemented by analytical approximations. The phase diagram is derived, featuring a regime of broken ergodicity: the system can either be in a homogeneous high flow phase or in a phase characterized by an infinite aggregate, i.e. a finite fraction of the total mass resides on one lattice site. This phenomenon is very similar to Bose-Einstein condensation. Furthermore, the deep relation with the Krauss traffic model is clarified. We conclude with a comprehensive comparison to other models showing similar effects to emphasize the general relevance of the ARAP." @default.
• W2274318974 created "2016-06-24" @default.
• W2274318974 creator A5005718637 @default.
• W2274318974 date "2002-01-01" @default.
• W2274318974 modified "2023-09-24" @default.
• W2274318974 title "Asymmetric Random Average Processes" @default.
• W2274318974 cites W1521233381 @default.
• W2274318974 cites W1560500504 @default.
• W2274318974 cites W1597512005 @default.
• W2274318974 cites W1660471769 @default.
• W2274318974 cites W1731427258 @default.
• W2274318974 cites W1781218704 @default.
• W2274318974 cites W1965297826 @default.
• W2274318974 cites W1971635737 @default.
• W2274318974 cites W1975285885 @default.
• W2274318974 cites W1977603201 @default.
• W2274318974 cites W1978281164 @default.
• W2274318974 cites W1980144709 @default.
• W2274318974 cites W1980181478 @default.
• W2274318974 cites W1987048133 @default.
• W2274318974 cites W1992594519 @default.
• W2274318974 cites W2006574499 @default.
• W2274318974 cites W2014319881 @default.
• W2274318974 cites W2039263963 @default.
• W2274318974 cites W2040232110 @default.
• W2274318974 cites W2044087660 @default.
• W2274318974 cites W2052338922 @default.
• W2274318974 cites W2055166044 @default.
• W2274318974 cites W2060101754 @default.
• W2274318974 cites W2060793075 @default.
• W2274318974 cites W2067186137 @default.
• W2274318974 cites W2067856042 @default.
• W2274318974 cites W2068745397 @default.
• W2274318974 cites W2076340951 @default.
• W2274318974 cites W2086588437 @default.
• W2274318974 cites W2088579425 @default.
• W2274318974 cites W2088634359 @default.
• W2274318974 cites W2102787760 @default.
• W2274318974 cites W2120062331 @default.
• W2274318974 cites W2125978483 @default.
• W2274318974 cites W2147301465 @default.
• W2274318974 cites W2154376416 @default.
• W2274318974 cites W2243721295 @default.
• W2274318974 cites W2492339372 @default.
• W2274318974 cites W262674487 @default.
• W2274318974 cites W2778009016 @default.
• W2274318974 cites W2964264372 @default.
• W2274318974 cites W3008437073 @default.
• W2274318974 cites W3102439254 @default.
• W2274318974 cites W3104119097 @default.
• W2274318974 cites W571141297 @default.
• W2274318974 cites W65606345 @default.
• W2274318974 hasPublicationYear "2002" @default.
• W2274318974 type Work @default.
• W2274318974 sameAs 2274318974 @default.
• W2274318974 citedByCount "0" @default.
• W2274318974 crossrefType "dissertation" @default.
• W2274318974 hasAuthorship W2274318974A5005718637 @default.
• W2274318974 hasConcept C105795698 @default.
• W2274318974 hasConcept C106487976 @default.
• W2274318974 hasConcept C121332964 @default.
• W2274318974 hasConcept C121864883 @default.
• W2274318974 hasConcept C130979935 @default.
• W2274318974 hasConcept C159985019 @default.
• W2274318974 hasConcept C17349429 @default.
• W2274318974 hasConcept C192562407 @default.
• W2274318974 hasConcept C19499675 @default.
• W2274318974 hasConcept C201779956 @default.
• W2274318974 hasConcept C24890656 @default.
• W2274318974 hasConcept C2781204021 @default.
• W2274318974 hasConcept C33923547 @default.
• W2274318974 hasConcept C37914503 @default.
• W2274318974 hasConcept C62520636 @default.
• W2274318974 hasConcept C84114770 @default.
• W2274318974 hasConceptScore W2274318974C105795698 @default.
• W2274318974 hasConceptScore W2274318974C106487976 @default.
• W2274318974 hasConceptScore W2274318974C121332964 @default.
• W2274318974 hasConceptScore W2274318974C121864883 @default.
• W2274318974 hasConceptScore W2274318974C130979935 @default.
• W2274318974 hasConceptScore W2274318974C159985019 @default.
• W2274318974 hasConceptScore W2274318974C17349429 @default.
• W2274318974 hasConceptScore W2274318974C192562407 @default.
• W2274318974 hasConceptScore W2274318974C19499675 @default.
• W2274318974 hasConceptScore W2274318974C201779956 @default.
• W2274318974 hasConceptScore W2274318974C24890656 @default.
• W2274318974 hasConceptScore W2274318974C2781204021 @default.
• W2274318974 hasConceptScore W2274318974C33923547 @default.
• W2274318974 hasConceptScore W2274318974C37914503 @default.
• W2274318974 hasConceptScore W2274318974C62520636 @default.
• W2274318974 hasConceptScore W2274318974C84114770 @default.
• W2274318974 hasLocation W22743189741 @default.
• W2274318974 hasOpenAccess W2274318974 @default.
• W2274318974 hasPrimaryLocation W22743189741 @default.
• W2274318974 hasRelatedWork W1656807767 @default.
• W2274318974 hasRelatedWork W2015697033 @default.
• W2274318974 hasRelatedWork W2018839496 @default.
• W2274318974 hasRelatedWork W2041576703 @default.
• W2274318974 hasRelatedWork W2044751432 @default.
• W2274318974 hasRelatedWork W2059747312 @default.
• W2274318974 hasRelatedWork W2116583895 @default.

• next