Crossref
journal-article
Springer Science and Business Media LLC
Journal of Statistical Physics (297)
References
29
Referenced
22
-
G. Beylkin, R. Coifman and V. Rokhlin, Fast wavelet transforms and numerical algorithms. I, Comm. Pure Appl. Math. 44:141–183 (1991).
(
10.1002/cpa.3160440202
) / Comm. Pure Appl. Math. by G. Beylkin (1991) -
G. Beylkin, R. Coifman and V. Rokhlin, Fast wavelet transforms and numerical algorithms. I, Comm. Pure Appl. Math. 44:141–183 (1991).. A. Chaterjee, M. A. Katsoulakis and D. G. Vlachos, Spatially adaptive grand canonical Monte Carlo simulations, Phys. Rev. E. 71:026702–026708 (2005).
(
10.1002/cpa.3160440202
) / Comm. Pure Appl. Math. by G. Beylkin (1991) -
A. J. Chorin, A. P. Kast, and R. Kupferman, Optimal prediction of underresolved dynamics, Proc. Natl. Acad. Sci. USA 95:4094–4098 (1998).
(
10.1073/pnas.95.8.4094
) / Proc. Natl. Acad. Sci. USA by A. J. Chorin (1998) - W. E and B. Engquist, Multiscale modeling and computation, Notices AMS 50:1062-1070 (2003). / Notices AMS by B. Engquist (2003)
-
P. Ferrari and J. L. Lebowitz, Information loss in coarse graining of polymer configurations via contact matrices, J. Phys. A. 36:5719–5730 (2003).
(
10.1088/0305-4470/36/21/303
) / J. Phys. A. by P. Ferrari (2003) -
M. Hildebrand and A. S. Mikhailov, Mesoscopic modeling in the kinetic theory of adsorbates, J. Phys. Chem. 100:19089–19101 (1996).
(
10.1021/jp961668w
) / J. Phys. Chem. by M. Hildebrand (1996) -
Q. Hou, N. Goldenfeld and A. McKane, Renormalization group and perfect operators for Stochastic Differential Equations, Phys. Rev. E 63:036125–036146 (2001).
(
10.1103/PhysRevE.63.036125
) / Phys. Rev. E by Q. Hou (2001) -
A. Ishikawa and T. Ogawa, Dynamics of spinodal decomposition in finite-lifetime systems: Nonlinear statistical theory based on a coarse-grained lattice-gas model, Phys. Rev. E. 65:026131–026140 (2002).
(
10.1103/PhysRevE.65.026131
) / Phys. Rev. E. by A. Ishikawa (2002) -
A. E. Ismail, G. C. Rutledge, and G. Stephanopoulos, Multiresolution analysis in statistical mechanics I: Using wavelets to calculate thermodynamic properties, J. Chem. Phys. 118:4414–4423 (2003).
(
10.1063/1.1543581
) / J. Chem. Phys. by A. E. Ismail (2003) -
A. E. Ismail, G. C. Rutledge, and G. Stephanopoulos, Multiresolution analysis in statistical mechanics II: The wavelet transform as a basis for Monte Carlo simulation on lattices, J. Chem. Phys. 118:4424–4431 (2003).
(
10.1063/1.1543582
) / J. Chem. Phys. by A. E. Ismail (2003) -
M. A. Katsoulakis, A. J. Majda and A. Sopasakis, Multiscale couplings in prototype hybrid deterministic/stochastic systems: Part I, deterministic closures, Comm. Math. Sci. 2:255–294 (2004).
(
10.4310/CMS.2004.v2.n2.a7
) / Comm. Math. Sci. by M. A. Katsoulakis (2004) -
M. A. Katsoulakis, A. J. Majda and D. G. Vlachos, coarse-grained stochastic processes and Monte Carlo simulations in lattice systems, J. Comp. Phys. 186:250–278 (2003).
(
10.1016/S0021-9991(03)00051-2
) / J. Comp. Phys. by M. A. Katsoulakis (2003) -
M. A. Katsoulakis, A. J. Majda and D. G. Vlachos, coarse-grained stochastic processes for lattice systems, Proc. Natl. Acad. Sci. USA 100:782–787 (2003).
(
10.1073/pnas.242741499
) / Proc. Natl. Acad. Sci. USA by M. A. Katsoulakis (2003) - M. A. Katsoulakis, P. Plechac, and A. Sopasakis, “Error control and analysis in coarse-graining of stochastic lattice dynamics”, Institute for Mathematics and its Applications, IMA Preprint No. 2019, February 2005, (http://www.ima.umn.edu/preprints/feb2005/feb2005.html)).
-
M. A. Katsoulakis and D. G. Vlachos, Hierarchical kinetic Monte Carlo simulations for diffusion of interacting molecules, J. Chem. Phys. 112:9412–9427 (2003).
(
10.1063/1.1616513
) / J. Chem. Phys. by M. A. Katsoulakis (2003) - J. Kemeny and L. Snell, Finite Markov chains, (Springer-Verlag, New York–Heidelberg, 1976). / Finite Markov chains by J. Kemeny (1976)
-
B. Khouider, A. J. Majda and M. A. Katsoulakis, coarse-grained stochastic models for tropical convection and climate, Proc. Natl. Acad. Sci. USA 100:11941–11946 (2003).
(
10.1073/pnas.1634951100
) / Proc. Natl. Acad. Sci. USA by B. Khouider (2003) -
C. Kipnis and C. Landim, Scaling limits of interacting particle systems, Springer (1999).
(
10.1007/978-3-662-03752-2
) - D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (2000), Cambridge University Press.
-
J. S. Langer, Theory of spinodal decomposition in alloys, Ann. Phys. 65:53–86 (1971).
(
10.1016/0003-4916(71)90162-X
) / Ann. Phys. by J. S. Langer (1971) -
A. J. Majda and B. Khouider, Stochastic and mesoscopic models for tropical convection, Proc. Nat. Acad. Sci. USA, 99:1123–1128 (2002).
(
10.1073/pnas.032663199
) / Proc. Nat. Acad. Sci. USA by A. J. Majda (2002) -
A. Milchev, D. W. Heermann and K. Binder, Monte Carlo simulation of the Cahn-Hilliard model of spinodal decomposition, Acta Metall. 36:377–383 (1988).
(
10.1016/0001-6160(88)90013-2
) / Acta Metall. by A. Milchev (1988) -
F. Muller-Plathe, Coarse-graining in polymer simulation: from the atomistic to the mesoscale and back, Chem. Phys. Chem. 3:754–769 (2002).
(
10.1002/1439-7641(20020916)3:9<754::AID-CPHC754>3.0.CO;2-U
) / Chem. Phys. Chem. by F. Muller-Plathe (2002) -
C. Schütte, A. Fischer, W. Huisinga and P. Deuflhard, A direct approach to conformational dynamics based on hybrid Monte Carlo, J. Comp. Phys. 151:146–168 (1999).
(
10.1006/jcph.1999.6231
) / J. Comp. Phys. by C. Schütte (1999) -
T. Shinbrot and F. J. Muzzio, Noise to order, Nature 410:251–258 (2001).
(
10.1038/35065689
) / Nature by T. Shinbrot (2001) -
A. N. Shiryaev, Probability, (Springer 1996).
(
10.1007/978-1-4757-2539-1
) -
C. Theodoropoulos, Y.-H. Qian and I. G. Kevrekidis, Coarse stability and bifurcation analysis using timesteppers: A reaction diffusion example, Proc. Natl. Acad. Sci. USA 97:9840–9843 (2000).
(
10.1073/pnas.97.18.9840
) / Proc. Natl. Acad. Sci. USA by C. Theodoropoulos (2000) -
D. G. Vlachos, L. D. Schmidt and R. Aris, The effects of phase transitions, surface diffusion and defects on surface catalyzed reactions: Fluctuations and oscillations, J. Chem. Phys. 93:8306–8313 (1990).
(
10.1063/1.459313
) / J. Chem. Phys. by D. G. Vlachos (1990) -
D. G. Vlachos and M. A. Katsoulakis, Mesoscopic Theories for the Diffusion of Interacting Molecules, Phys. Rev. Lett. 85:3898–3901 (2000).
(
10.1103/PhysRevLett.85.3898
) / Phys. Rev. Lett. by D. G. Vlachos (2000)
Dates
Type | When |
---|---|
Created | 19 years, 7 months ago (Dec. 31, 2005, 10:06 a.m.) |
Deposited | 2 years, 8 months ago (Dec. 1, 2022, 9:05 a.m.) |
Indexed | 2 years ago (July 31, 2023, 4:16 a.m.) |
Issued | 19 years, 7 months ago (Dec. 31, 2005) |
Published | 19 years, 7 months ago (Dec. 31, 2005) |
Published Online | 19 years, 7 months ago (Dec. 31, 2005) |
Published Print | 19 years, 7 months ago (Jan. 1, 2006) |
@article{Katsoulakis_2005, title={Information Loss in Coarse-Graining of Stochastic Particle Dynamics}, volume={122}, ISSN={1572-9613}, url={http://dx.doi.org/10.1007/s10955-005-8063-1}, DOI={10.1007/s10955-005-8063-1}, number={1}, journal={Journal of Statistical Physics}, publisher={Springer Science and Business Media LLC}, author={Katsoulakis, Markos A. and Trashorras, José}, year={2005}, month=dec, pages={115–135} }