Class information for:
Level 1: BOLTZMANN EQUATION//SOFT POTENTIALS//LANDAU EQUATION

Basic class information

Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
21 4 THERMODYNAMICS//MECHANICS//ENGINEERING, MECHANICAL 471779
613 3       LATTICE BOLTZMANN METHOD//BOLTZMANN EQUATION//LATTICE BOLTZMANN 13612
1866 2             BOLTZMANN EQUATION//RAREFIED GAS//DSMC 6407
5753 1                   BOLTZMANN EQUATION//SOFT POTENTIALS//LANDAU EQUATION 1609

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BOLTZMANN EQUATION authKW 1362107 19% 23% 302
2 SOFT POTENTIALS authKW 422108 2% 86% 25
3 LANDAU EQUATION authKW 392108 2% 65% 31
4 KINETIC AND RELATED MODELS journal 352003 5% 22% 82
5 HARD POTENTIALS authKW 333993 1% 95% 18
6 DISCRETE VELOCITY MODELS authKW 313674 2% 52% 31
7 VLASOV POISSON BOLTZMANN SYSTEM authKW 236431 1% 93% 13
8 NON CUTOFF authKW 235033 1% 100% 12
9 MAXWELLIAN MOLECULES authKW 158646 1% 90% 9
10 INELASTIC BOLTZMANN EQUATION authKW 157989 1% 73% 11

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 16719 41% 0% 654
2 Physics, Mathematical 16487 28% 0% 458
3 Mathematics 10374 35% 0% 568
4 Mechanics 1601 12% 0% 190
5 Physics, Fluids & Plasmas 233 3% 0% 56
6 Statistics & Probability 197 3% 0% 52
7 Physics, Multidisciplinary 52 4% 0% 71
8 Materials Science, Characterization, Testing 17 1% 0% 9
9 Computer Science, Interdisciplinary Applications 7 1% 0% 20
10 Multidisciplinary Sciences 2 0% 0% 8

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UNITA INFN 108803 1% 56% 10
2 IRENAV 54046 1% 20% 14
3 LEFSHETZ DYNAM SYST 44067 0% 75% 3
4 LEFSHITZ DYNAM SYST 39172 0% 100% 2
5 SCI COMPLEX RANGUEIL 39172 0% 100% 2
6 MATH L WARTZ 31333 0% 40% 4
7 UMR MATH 6085 26113 0% 67% 2
8 CMLA 24145 2% 5% 25
9 UMR 6085 23147 1% 6% 19
10 DAVID RITTENHOUSE 22556 1% 8% 14

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 KINETIC AND RELATED MODELS 352003 5% 22% 82
2 JOURNAL OF STATISTICAL PHYSICS 96445 12% 2% 199
3 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 56329 5% 3% 87
4 TRANSPORT THEORY AND STATISTICAL PHYSICS 55981 2% 8% 34
5 COMMUNICATIONS IN MATHEMATICAL PHYSICS 19013 6% 1% 90
6 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 17627 2% 2% 40
7 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 8616 2% 1% 33
8 JOURNAL OF DIFFERENTIAL EQUATIONS 8494 4% 1% 57
9 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 8222 2% 1% 40
10 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 7442 2% 2% 25

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 BOLTZMANN EQUATION 1362107 19% 23% 302 Search BOLTZMANN+EQUATION Search BOLTZMANN+EQUATION
2 SOFT POTENTIALS 422108 2% 86% 25 Search SOFT+POTENTIALS Search SOFT+POTENTIALS
3 LANDAU EQUATION 392108 2% 65% 31 Search LANDAU+EQUATION Search LANDAU+EQUATION
4 HARD POTENTIALS 333993 1% 95% 18 Search HARD+POTENTIALS Search HARD+POTENTIALS
5 DISCRETE VELOCITY MODELS 313674 2% 52% 31 Search DISCRETE+VELOCITY+MODELS Search DISCRETE+VELOCITY+MODELS
6 VLASOV POISSON BOLTZMANN SYSTEM 236431 1% 93% 13 Search VLASOV+POISSON+BOLTZMANN+SYSTEM Search VLASOV+POISSON+BOLTZMANN+SYSTEM
7 NON CUTOFF 235033 1% 100% 12 Search NON+CUTOFF Search NON+CUTOFF
8 MAXWELLIAN MOLECULES 158646 1% 90% 9 Search MAXWELLIAN+MOLECULES Search MAXWELLIAN+MOLECULES
9 INELASTIC BOLTZMANN EQUATION 157989 1% 73% 11 Search INELASTIC+BOLTZMANN+EQUATION Search INELASTIC+BOLTZMANN+EQUATION
10 HOMOGENEOUS BOLTZMANN EQUATION 156689 0% 100% 8 Search HOMOGENEOUS+BOLTZMANN+EQUATION Search HOMOGENEOUS+BOLTZMANN+EQUATION

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1



rank cluster_id2 link
1 11838 ASYMPTOTIC PRESERVING SCHEME//ASYMPTOTIC PRESERVING SCHEMES//BOLTZMANN MODEL EQUATION
2 14043 VLASOV POISSON SYSTEM//VLASOV POISSON EQUATION//VLASOV MAXWELL SYSTEM
3 25354 ACCELERATING PACKING//ACCELERATION COMPACTION//APPROXIMATE EXPLICIT SOLUTION
4 32092 SCI BIRUNI OBSERV//SYMMETRIES AND NORMAL MODES//CHRISTOFFEL SCHWARZ INTEGRAL
5 2527 RAREFIED GAS//DSMC//RAREFIED GAS DYNAMICS
6 6944 EVANS FUNCTION//VISCOUS CONSERVATION LAWS//RAREFACTION WAVE
7 18849 TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ESSENTIAL SPECTRA
8 21504 CONDENSATION COEFFICIENT//EVAPORATION AND CONDENSATION//INGN NUCL MONTECUCCOLINO
9 24465 ADIABATIC PISTON//INFINITE DYNAMICS//RAYLEIGH GAS
10 8862 COAGULATION EQUATION//SUBSTOCHASTIC SEMIGROUPS//SMOLUCHOWSKIS COAGULATION EQUATION

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