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Volumn 12, Issue 8, 2014, Pages 1379-1407

A coarse grained stochastic multi-type particle interacting model for tropical convection: Nearest neighbour interactions

Author keywords

Coarse graining; Conditional expectation; Particle interacting systems; Stochastic parametrization; Tropical convection

Indexed keywords


EID: 84901342891     PISSN: 15396746     EISSN: 19450796     Source Type: Journal    
DOI: 10.4310/CMS.2014.v12.n8.a1     Document Type: Article
Times cited : (30)

References (59)
  • 1
    • 84901312680 scopus 로고    scopus 로고
    • Stochastic Interacting Systems
    • Grundlehren der Mathematischen Wissenschaften, Springer, Berlin
    • T.M. Liggett, Stochastic Interacting Systems: Contact, Voter and Exclusion Processes, Grundlehren der Mathematischen Wissenschaften, Springer, Berlin, 324, 1999.
    • Contact, Voter and Exclusion Processes , vol.324 , pp. 1999
    • Liggett, T.M.1
  • 3
    • 0031116136 scopus 로고    scopus 로고
    • Phase segregation dynamics in particle systems with long range interactions. i. Macroscopic limits
    • G. Giacomin and J.L. Lebowitz, Phase segregation dynamics in particle systems with long range interactions. i. Macroscopic limits, J. Stat. Phys., 87-137, 1997.
    • (1997) J. Stat. Phys. , pp. 87-137
    • Giacomin, G.1    Lebowitz, J.L.2
  • 4
    • 0037022254 scopus 로고    scopus 로고
    • Stochastic and mesoscopic models for tropical convection
    • A.J. Majda and B. Khouider, Stochastic and mesoscopic models for tropical convection, Proc. Nat. Acad. Sci., 99, 1123-1128, 2002.
    • (2002) Proc. Nat. Acad. Sci. , vol.99 , pp. 1123-1128
    • Majda, A.J.1    Khouider, B.2
  • 5
    • 0142027827 scopus 로고    scopus 로고
    • Coarse grained stochastic models for tropical convection and climate
    • B. Khouider, A. Majda, and M. Katsoulakis, Coarse grained stochastic models for tropical convection and climate, Proc. Nat. Acad. Sci., 100, 11941-11946, 2003.
    • (2003) Proc. Nat. Acad. Sci. , vol.100 , pp. 11941-11946
    • Khouider, B.1    Majda, A.2    Katsoulakis, M.3
  • 7
    • 0032614177 scopus 로고    scopus 로고
    • The role of macroscopic transport phenomena in film microstructure during epitaxial growth
    • D.G. Vlachos, The role of macroscopic transport phenomena in film microstructure during epitaxial growth, Appl. Phys. Lett., 74, 2797-2799, 1999.
    • (1999) Appl. Phys. Lett. , vol.74 , pp. 2797-2799
    • Vlachos, D.G.1
  • 8
    • 0034294394 scopus 로고    scopus 로고
    • Derivation and validation of mesoscopic theories for diffusion-reaction of interacting molecules
    • D.G. Vlachos and M.A. Katsoulakis, Derivation and validation of mesoscopic theories for diffusion-reaction of interacting molecules, Phys. Rev. Lett., 85(18), 3898-3901, 2000.
    • (2000) Phys. Rev. Lett. , vol.85 , Issue.18 , pp. 3898-3901
    • Vlachos, D.G.1    Katsoulakis, M.A.2
  • 9
    • 0008284659 scopus 로고    scopus 로고
    • Stochastic Ising models and anisotropic front propaga-tion
    • M.A. Katsoulakis and P.E. Souganidis, Stochastic Ising models and anisotropic front propaga-tion, J. Stat. Phys., 87, 63-89, 1997.
    • (1997) J. Stat. Phys. , vol.87 , pp. 63-89
    • Katsoulakis, M.A.1    Souganidis, P.E.2
  • 10
    • 77954643775 scopus 로고    scopus 로고
    • Stochastic modeling and simulation of multi-lane traffic
    • N. Dundon and A. Sopasakis, Stochastic modeling and simulation of multi-lane traffic, Trans-port. Traffic Theory, 661-691, 2006.
    • (2006) Trans-port. Traffic Theory , pp. 661-691
    • Dundon, N.1    Sopasakis, A.2
  • 11
    • 33745642938 scopus 로고    scopus 로고
    • Stochastic modeling and simulation of traffic flow: Asep with Arrhenius look-ahead dynamics
    • A. Sopasakis and M.A. Katsoulakis, Stochastic modeling and simulation of traffic flow: Asep with Arrhenius look-ahead dynamics, SIAM J. Appl. Math., 66, 921-944, 2006.
    • (2006) SIAM J. Appl. Math. , vol.66 , pp. 921-944
    • Sopasakis, A.1    Katsoulakis, M.A.2
  • 12
    • 33644605731 scopus 로고    scopus 로고
    • Multiscale couplings in prototype hybrid deterministic/stochastic systems: Part i, Deterministic closures
    • M.A. Katsoulakis, A.J. Majda, and A. Sopasakis, Multiscale couplings in prototype hybrid deterministic/stochastic systems: Part i, Deterministic closures, Commun. Math. Sci., 2(2), 255-294, 2004.
    • (2004) Commun. Math. Sci. , vol.2 , Issue.2 , pp. 255-294
    • Katsoulakis, M.A.1    Majda, A.J.2    Sopasakis, A.3
  • 13
    • 33646011779 scopus 로고    scopus 로고
    • Multiscale couplings in prototype hybrid deterministic/stochastic systems: Part ii, Stochastic closures
    • M.A. Katsoulakis, A.J. Majda, and A. Sopasakis, Multiscale couplings in prototype hybrid deterministic/stochastic systems: Part ii, Stochastic closures, Commun. Math. Sci., 3(3), 453-478, 2005.
    • (2005) Commun. Math. Sci. , vol.3 , Issue.3 , pp. 453-478
    • Katsoulakis, M.A.1    Majda, A.J.2    Sopasakis, A.3
  • 14
    • 77954651244 scopus 로고    scopus 로고
    • Hybrid deterministic stochastic systems with microscopic look-ahead dynamics
    • M.A. Katsoulakis, A.J. Majda, and A. Sopasakis, Hybrid deterministic stochastic systems with microscopic look-ahead dynamics, Commun. Math. Sci., 8(2), 409-437, 2010.
    • (2010) Commun. Math. Sci. , vol.8 , Issue.2 , pp. 409-437
    • Katsoulakis, M.A.1    Majda, A.J.2    Sopasakis, A.3
  • 15
    • 34547148376 scopus 로고    scopus 로고
    • Continuum mesoscopic framework for multiple interacting species and processes on multiple site types and/or crystallographic planes
    • A. Chatterjee and D.G. Vlachos, Continuum mesoscopic framework for multiple interacting species and processes on multiple site types and/or crystallographic planes, J. Chem. Phys., 127, 034705, 2007.
    • (2007) J. Chem. Phys. , vol.127
    • Chatterjee, A.1    Vlachos, D.G.2
  • 16
    • 35448971049 scopus 로고    scopus 로고
    • Development at the wildland-urban interface and the mitigation of forest-fire risk
    • V. Spyratos, P. Bourgeron, and M. Ghil, Development at the wildland-urban interface and the mitigation of forest-fire risk, Proc. Natl. Acad. Sci. USA, 104, 14272-14276, 2007.
    • (2007) Proc. Natl. Acad. Sci. USA , vol.104 , pp. 14272-14276
    • Spyratos, V.1    Bourgeron, P.2    Ghil, M.3
  • 17
    • 77954694843 scopus 로고    scopus 로고
    • A stochastic multicloud model for tropical convection
    • B. Khouider, J. Biello, and A.J. Majda, A stochastic multicloud model for tropical convection, Commun. Math. Sci., 8(1), 187-216, 2010.
    • (2010) Commun. Math. Sci. , vol.8 , Issue.1 , pp. 187-216
    • Khouider, B.1    Biello, J.2    Majda, A.J.3
  • 20
    • 0030828613 scopus 로고    scopus 로고
    • Organized convective systems in the tropical western Pacific as a process in general circulation models: A TOGA COARE case-study
    • M.W. Moncrieff and E. Klinker, Organized convective systems in the tropical western Pacific as a process in general circulation models: A TOGA COARE case-study, Quart. J. Roy. Meteor. Soc., 123, 805-827, 1997.
    • (1997) Quart. J. Roy. Meteor. Soc. , vol.123 , pp. 805-827
    • Moncrieff, M.W.1    Klinker, E.2
  • 22
    • 56649096890 scopus 로고    scopus 로고
    • Collaborative research at the intersec-tion of weather and climate
    • M.W. Moncrieff, M. Shapiro, J. Slingo, and F. Molteni, Collaborative research at the intersec-tion of weather and climate, WMO Bulletin, 56, 204-211, 2007.
    • (2007) WMO Bulletin , vol.56 , pp. 204-211
    • Moncrieff, M.W.1    Shapiro, M.2    Slingo, J.3    Molteni, F.4
  • 23
    • 77953263652 scopus 로고    scopus 로고
    • A case study of the mechanics of extratropical influence on the initiation of the Madden-Julian Oscillation
    • P. Ray and C. Zhang, A case study of the mechanics of extratropical influence on the initiation of the Madden-Julian Oscillation, J. Atmos. Sci., 67, 515-528, 2010.
    • (2010) J. Atmos. Sci. , vol.67 , pp. 515-528
    • Ray, P.1    Zhang, C.2
  • 24
    • 0021559991 scopus 로고
    • An observational study of tropical-midlatitude interaction on intraseasonal time scales during winter
    • B. Liebmann and D. Hartmann, An observational study of tropical-midlatitude interaction on intraseasonal time scales during winter, J. Atmos. Sci., 41, 3333-3350, 1984.
    • (1984) J. Atmos. Sci. , vol.41 , pp. 3333-3350
    • Liebmann, B.1    Hartmann, D.2
  • 25
    • 64049103481 scopus 로고    scopus 로고
    • An observed connection between the North Atlantic Oscil-lation and the Madden-Julian Oscillation
    • H. Lin, G. Brunet, and J. Derome, An observed connection between the North Atlantic Oscil-lation and the Madden-Julian Oscillation, J. Climate, 22, 364-380, 2009.
    • (2009) J. Climate , vol.22 , pp. 364-380
    • Lin, H.1    Brunet, G.2    Derome, J.3
  • 26
    • 3843138534 scopus 로고    scopus 로고
    • The cumulus parameterization problem: Past, present, and future
    • A. Arakawa, The cumulus parameterization problem: Past, present, and future, J. Climate, 17, 2493-2525, 2004.
    • (2004) J. Climate , vol.17 , pp. 2493-2525
    • Arakawa, A.1
  • 29
    • 33646259476 scopus 로고    scopus 로고
    • A simple multicloud parametrization for convectively coupled tropical waves. Part I: Linear analysis
    • B. Khouider and A.J. Majda, A simple multicloud parametrization for convectively coupled tropical waves. Part I: Linear analysis, J. Atmos. Sci., 63, 1308-1323, 2006.
    • (2006) J. Atmos. Sci. , vol.63 , pp. 1308-1323
    • Khouider, B.1    Majda, A.J.2
  • 30
    • 43149088061 scopus 로고    scopus 로고
    • Multicloud models for organized tropical convection: Enhanced congestus heating
    • B. Khouider and A.J. Majda, Multicloud models for organized tropical convection: Enhanced congestus heating, J. Atmos. Sci., 65, 897-914, 2008.
    • (2008) J. Atmos. Sci. , vol.65 , pp. 897-914
    • Khouider, B.1    Majda, A.J.2
  • 31
    • 58049112928 scopus 로고    scopus 로고
    • Equatorial convectively coupled waves in a simple multicloud model
    • B. Khouider and A.J. Majda, Equatorial convectively coupled waves in a simple multicloud model, J. Atmos. Sci., 65, 3376-3397, 2008.
    • (2008) J. Atmos. Sci. , vol.65 , pp. 3376-3397
    • Khouider, B.1    Majda, A.J.2
  • 32
    • 33750187350 scopus 로고    scopus 로고
    • Multicloud convective parametrizations with crude vertical struc-ture
    • B. Khouider and A.J. Majda, Multicloud convective parametrizations with crude vertical struc-ture, Theor. Comput. Fluid Dyn., 20, 351-375, 2006.
    • (2006) Theor. Comput. Fluid Dyn. , vol.20 , pp. 351-375
    • Khouider, B.1    Majda, A.J.2
  • 33
    • 34547210378 scopus 로고    scopus 로고
    • Madden-Julian Oscillation analog and intrasea-sonal variability in a multicloud model above the equator
    • A.J. Majda, S. Stechmann, and B. Khouider, Madden-Julian Oscillation analog and intrasea-sonal variability in a multicloud model above the equator, Proc. Nat. Acad. Sci., 104, 9919-9924, 2007.
    • (2007) Proc. Nat. Acad. Sci. , vol.104 , pp. 9919-9924
    • Majda, A.J.1    Stechmann, S.2    Khouider, B.3
  • 34
    • 84863396318 scopus 로고    scopus 로고
    • Multi-scale waves in an MJO background and CMT feedback
    • B. Khouider, Y. Han, A. Majda, and S. Stechmann, Multi-scale waves in an MJO background and CMT feedback, J. Atmos. Sci., 69, 915-933, 2012.
    • (2012) J. Atmos. Sci. , vol.69 , pp. 915-933
    • Khouider, B.1    Han, Y.2    Majda, A.3    Stechmann, S.4
  • 35
    • 79953193476 scopus 로고    scopus 로고
    • The MJO and convectively coupled waves in a coarse-resolution GCM with a simple multicloud parameterization
    • B. Khouider, A. St-Cyr, A.J. Majda, and J. Tribbia, The MJO and convectively coupled waves in a coarse-resolution GCM with a simple multicloud parameterization, J. Atmos. Sci., 68(2), 240-264, 2011.
    • (2011) J. Atmos. Sci. , vol.68 , Issue.2 , pp. 240-264
    • Khouider, B.1    St-Cyr, A.2    Majda, A.J.3    Tribbia, J.4
  • 36
    • 84870469144 scopus 로고    scopus 로고
    • Climate science in the tropics: Waves, vortices and PDEs
    • B. Khouider, A. Majda, and S. Stechmann, Climate science in the tropics: Waves, vortices and PDEs, Nonlinearity, 26, R1-R68, 2013.
    • (2013) Nonlinearity , vol.26
    • Khouider, B.1    Majda, A.2    Stechmann, S.3
  • 37
    • 0033403384 scopus 로고    scopus 로고
    • Stochastic representation of model uncertainties in the ECMWF Ensemble Prediction System
    • R. Buizza, M. Miller, and T.N. Palmer, Stochastic representation of model uncertainties in the ECMWF Ensemble Prediction System, Quart. J. Roy. Meteor. Soc., 125, 2887-2908, 1999.
    • (1999) Quart. J. Roy. Meteor. Soc. , vol.125 , pp. 2887-2908
    • Buizza, R.1    Miller, M.2    Palmer, T.N.3
  • 38
    • 0034351920 scopus 로고    scopus 로고
    • Influence of a stochastic moist convective parameterization on tropical climate variability
    • J.W.B. Lin and J.D. Neelin, Influence of a stochastic moist convective parameterization on tropical climate variability, Geophys. Res. Lett., 27, 3691-3694, 2000.
    • (2000) Geophys. Res. Lett. , vol.27 , pp. 3691-3694
    • Lin, J.W.B.1    Neelin, J.D.2
  • 39
    • 0038504829 scopus 로고    scopus 로고
    • Toward stochastic deep convective parameterization in general circulation models
    • J. Lin and J. Neelin, Toward stochastic deep convective parameterization in general circulation models, Geophys. Res. Lett., 30, 1162, 2003.
    • (2003) Geophys. Res. Lett. , vol.30 , pp. 1162
    • Lin, J.1    Neelin, J.2
  • 40
    • 38849155083 scopus 로고    scopus 로고
    • A stochastic parameterization for deep convection based on equilibrium statistics
    • R. Plant and G. Craig, A stochastic parameterization for deep convection based on equilibrium statistics, J. Atmos. Sci., 65, 87-105, 2008.
    • (2008) J. Atmos. Sci. , vol.65 , pp. 87-105
    • Plant, R.1    Craig, G.2
  • 41
    • 0035086606 scopus 로고    scopus 로고
    • A nonlinear dynamical perspective on model error: A proposal for non-local stochastic-dynamic parametrization in weather and climate prediction models
    • T.N. Palmer, A nonlinear dynamical perspective on model error: A proposal for non-local stochastic-dynamic parametrization in weather and climate prediction models, Quart. J. Roy. Meteor. Soc., 127, 279-304, 2001.
    • (2001) Quart. J. Roy. Meteor. Soc. , vol.127 , pp. 279-304
    • Palmer, T.N.1
  • 42
    • 80755160964 scopus 로고    scopus 로고
    • A stochastic model for the transition to strong convection
    • S.N. Stechmann and J.D. Neelin, A stochastic model for the transition to strong convection, J. Atmos. Sci., 68, 2955-2970, 2011.
    • (2011) J. Atmos. Sci. , vol.68 , pp. 2955-2970
    • Stechmann, S.N.1    Neelin, J.D.2
  • 43
    • 79960319155 scopus 로고    scopus 로고
    • Nonstationarity in multifactor models of discrete jump processes, memory and application to cloud modeling
    • I. Horenko, Nonstationarity in multifactor models of discrete jump processes, memory and application to cloud modeling, J. Atmos. Sci., 68, 1493-1506, 2011.
    • (2011) J. Atmos. Sci. , vol.68 , pp. 1493-1506
    • Horenko, I.1
  • 44
    • 65549133360 scopus 로고    scopus 로고
    • A simple dynamical model with features of convective momentum transport
    • A.J. Majda and S.N. Stechmann, A simple dynamical model with features of convective momentum transport, J. Atmos. Sci., 66, 373-392, 2009.
    • (2009) J. Atmos. Sci. , vol.66 , pp. 373-392
    • Majda, A.J.1    Stechmann, S.N.2
  • 45
    • 84858255137 scopus 로고    scopus 로고
    • Using the stochastic multicloud model to improve tropical convective parameterization: A paradigm example
    • Y. Frenkel, A.J. Majda, and B. Khouider, Using the stochastic multicloud model to improve tropical convective parameterization: A paradigm example, J. Atmos. Sci., 69(3), 1080- 1105, 2012.
    • (2012) J. Atmos. Sci. , vol.69 , Issue.3 , pp. 1080-1105
    • Frenkel, Y.1    Majda, A.J.2    Khouider, B.3
  • 46
    • 84884701622 scopus 로고    scopus 로고
    • Stochastic and deterministic multicloud parameter-izations for tropical convection
    • Y. Frenkel, A.J. Majda, and B. Khouider, Stochastic and deterministic multicloud parameter-izations for tropical convection, Climate Dyn., 41, 1527-1551, 2013.
    • (2013) Climate Dyn , vol.41 , pp. 1527-1551
    • Frenkel, Y.1    Majda, A.J.2    Khouider, B.3
  • 47
    • 84888063181 scopus 로고    scopus 로고
    • Stochastic behaviour of tropical convection in observations and a multicloud model
    • K. Peters, C. Jakob, L. Davies, B. Khouider, and A. Majda, Stochastic behaviour of tropical convection in observations and a multicloud model, J. Atmos. Sci., 70, 3556-3575, 2013.
    • (2013) J. Atmos. Sci. , vol.70 , pp. 3556-3575
    • Peters, K.1    Jakob, C.2    Davies, L.3    Khouider, B.4    Majda, A.5
  • 48
    • 0035841067 scopus 로고    scopus 로고
    • Spectral methods for mesoscopic models of pattern formation
    • D.J. Horntrop, M.A. Katsoulakis, and D.G. Vlachos, Spectral methods for mesoscopic models of pattern formation, J. Comput. Phys., 173, 364-390, 2001.
    • (2001) J. Comput. Phys. , vol.173 , pp. 364-390
    • Horntrop, D.J.1    Katsoulakis, M.A.2    Vlachos, D.G.3
  • 49
    • 0037417955 scopus 로고    scopus 로고
    • Coarse-grained stochastic processes for mi-croscopic lattice systems
    • M.A. Katsoulakis, A.J. Majda, and D.G. Vlachos, Coarse-grained stochastic processes for mi-croscopic lattice systems, Proc. Nat. Acad. Sci. U.S.A., 100(3), 782-787, 2003.
    • (2003) Proc. Nat. Acad. Sci. U. S. A. , vol.100 , Issue.3 , pp. 782-787
    • Katsoulakis, M.A.1    Majda, A.J.2    Vlachos, D.G.3
  • 50
    • 0037456891 scopus 로고    scopus 로고
    • Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems
    • M.A. Katsoulakis, A.J. Majda, and D.G. Vlachos, Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems, J. Comput. Phys., 186(1), 250-278, 2003.
    • (2003) J. Comput. Phys. , vol.186 , Issue.1 , pp. 250-278
    • Katsoulakis, M.A.1    Majda, A.J.2    Vlachos, D.G.3
  • 51
    • 34547927269 scopus 로고    scopus 로고
    • Error control and analysis in coarse-graining for stochastic lattice dynamics
    • M.A. Katsoulakis, P. Plechac, and A. Sopasakis, Error control and analysis in coarse-graining for stochastic lattice dynamics, SIAM J. Numer. Anal., 4(6), 2270-2296, 2006.
    • (2006) SIAM J. Numer. Anal. , vol.4 , Issue.6 , pp. 2270-2296
    • Katsoulakis, M.A.1    Plechac, P.2    Sopasakis, A.3
  • 52
    • 32644463523 scopus 로고    scopus 로고
    • Multiscale spatial Monte Carlo simulations: Multigriding, coarse-graining schemes for short and long-range interactions computational singular per-turbation, and hierarchical stochastic closures
    • A. Chatterjee and D.G. Vlachos, Multiscale spatial Monte Carlo simulations: Multigriding, coarse-graining schemes for short and long-range interactions computational singular per-turbation, and hierarchical stochastic closures, J. Chem. Phys., 124, 064110, 2006.
    • (2006) J. Chem. Phys. , vol.124 , pp. 064110
    • Chatterjee, A.1    Vlachos, D.G.2
  • 53
    • 44349154068 scopus 로고    scopus 로고
    • Coarse-grained lattice kinetic Monte Carlo simulation of systems of strongly interacting particles
    • J. Dai, W.D. Seider, and T. Sinno, Coarse-grained lattice kinetic Monte Carlo simulation of systems of strongly interacting particles, J. Chem. Phys., 128, 194705, 2007.
    • (2007) J. Chem. Phys. , vol.128 , pp. 194705
    • Dai, J.1    Seider, W.D.2    Sinno, T.3
  • 54
  • 55
    • 33749827492 scopus 로고    scopus 로고
    • The mesoscale convection life cycle: Building block or prototype for large-scale tropical waves? Dyn
    • B. Mapes, S. Tulich, J. Lin, and P. Zuidema, The mesoscale convection life cycle: Building block or prototype for large-scale tropical waves? Dyn. Atmos. Oceans, 42(1-4), 3-29, 2006.
    • (2006) Atmos. Oceans , vol.42 , Issue.1-4 , pp. 3-29
    • Mapes, B.1    Tulich, S.2    Lin, J.3    Zuidema, P.4
  • 57
    • 0003426603 scopus 로고
    • Modelling Biological Populations in Space and Time
    • Cambridge University Press
    • E. Renshaw, Modelling Biological Populations in Space and Time, Cambridge Studies in Mathematical Biology, Cambridge University Press, 1993.
    • (1993) Cambridge Studies in Mathematical Biology
    • Renshaw, E.1
  • 58
    • 0016559230 scopus 로고
    • An exact method for numerically simulating the stochastic coalescence process in a cloud
    • D.T. Gillespie, An exact method for numerically simulating the stochastic coalescence process in a cloud, J. Atmos. Sci., 32, 1977-1989, 1975.
    • (1975) J. Atmos. Sci. , vol.32 , pp. 1977-1989
    • Gillespie, D.T.1
  • 59
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • D.T. Gillespie, Exact stochastic simulation of coupled chemical reactions, The J. Phys. Chem., 81(25), 2340-2361, 1977.
    • (1977) The J. Phys. Chem. , vol.81 , Issue.25 , pp. 2340-2361
    • Gillespie, D.T.1


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