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Giles R. — Mathematical foundation of thermodynamics
Giles R. — Mathematical foundation of thermodynamics

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Название: Mathematical foundation of thermodynamics

Автор: Giles R.

Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1964

Количество страниц: 251

Добавлена в каталог: 12.05.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
4-impulse      183
4-vector      171
4-vector, coldness      184
4-vector, space-like      172
4-vector, time-like      172
Absolute entropy      69 211
Absolute scale of hotness      86 100
Absolute temperature      2 99 137 179
Absolute temperature, measurement of      111
Absolute temperature, negative      100
Addition of processes      32 193
Addition states      3 22 30 192
Addition systems      22
Additive      216
Adiabatic process      46 48—55
Adiabatically natural etc.      54
Adjoint representation      166 169 223—228
angular momentum      131 170
Angular spin      136 174
Angular velocity      136 178
Anti-equilibrium, perfect      212
Anti-equilibrium, state      68 212
Anti-potential      213
Anti-quasi-entropy function      205
Antinatural      31 194
Appearance      152 168
Arbitrarily large      28
Archimedean      79 200
Automorphism      158
Auxiliary parameter      227
Axioms      10 71
Basis      74 85
Basis, proper      74 160
Black-body radiation      118
Bound      216
Bounded component of content      63 70 72 80 206
Bounded entropy function      65 69—72 81
Bounded function of state      63 80 206
Bounded quasi-entropy function      80 207
Bounded set of states      62
Caratheodory      15 16
Centre of mass      131 173 174
Centrifugal effect      144 186
Charge, electric      122
chemical potential      117 145
Chemical potential, local      147 187
Chemical species      116 144
Clausius      15
Coldness 4-vector      184
Collision, inelastic      138 181
Commutation relations      166
Compatibility      32
Complete system      93
Completion of a system      94
Component of content      4—6 37 60 195
Component of content, auxiliary      227
Component of content, bounded      63 70 72 80 206
Component of content, continuous      38
Component of content, discrete      38
Component of content, examples      37 97 114 116 121—125 131 170
Component of content, mechanical      55 70
Component of content, non-mechanical      55 70 74 76 214
Component of content, positive      39 70 170
Component of content, principal      225
Component of content, principal, potential      87 99 115 117 122 125 136 178
Components of content, sufficient set of      40 74
Concept      see also "Term"
Concept, direct and indirect      11—13
Concept, primitive      25
Condenser, electrical      119
Conditions of stability      88 92 117
Cone      81
Cone, positive      81
Congruent processes      79
Conserved quantity      4 37
Constraint      25 113 121 142
Contained in (states)      61 195
Content      74 194
Content, have the same      39 74 194
Content, measure of      61
Content, space      73 83 194
Continuous process      89
Cosmological principle, perfect      164
Current, electric      125
de Sitter space-time      164
Dependence on a set of states      75
Derived terms      10
DIMENSION      74
Discrete component of content      38
Divisible state      90 94
Drive backwards      2 33
Dual      205
Duality principle      205
Electric charge      122
Electric current      125
Electrostatic potential      122
Energy      2 96—98 105—108 131 170
Energy, internal      141
Energy, non-translational      135
entropy      1 16 56
Entropy function      56 128 134 214
Entropy function, (from experiment)      108
Entropy function, absolute      69 212
Entropy function, bounded      65 69—72 81
Entropy function, invariant      134 162 177
Entropy function, negative      205
Entropy function, positive      69 70 214
Equilibrium state, imperfect      104 143
Equilibrium state, metastable      84
Equilibrium state, perfect      91—95 208—211
Equilibrium, local      140 147 181 184
Equilibrium, state      83 208
Equilibrium, surface      84 88
Equivalence of processes      31 193
Experience      152
Experience, direct and indirect      11—13
Experience, primitive aspect of      13
Fluctuations      18
Flux, magnetic      125
Formal process      31 193
Formal process, system      93
Free energy, Helmholtz      100
Frozen state      27 119 124
Fundamental set of states      76
Galilean group      150 227
Galilean group, relativity      130 151
Galilean group, transformation      134
Gibbs — Duhem relation      95 118
Gravitational field      147 187
Group, Galilean      150 227
Group, Lie      166
Group, Lorentz      164 190 223
Group, realisation of a      159
Group, representation of a      160
Group, rotation      176 227
Group, symmetry      124 151 155 164 226
Gyrostat      142
Hahn — Banach theorem      217
Heat      115 184
Heat, capacity      100
Heat, capacity, negative      104 117
Heat, transfer of      178
Helmholtz free energy      100
Hotness      84 86 100
Hysteresis      126—128
Ideal physical theory      12
Inaccessibility principle      15
Independent set of states      75
Inelastic collision      138 181
Inertial mass      2
inf      216
Infinitesimal element (of Lie group)      165
Inhibition      25 see
Inhomogeneous Lorentz group      164 190 223
Inhomogeneous Lorentz group, proper      165
Internal (with respect to p)      217
Internal (with respect to p) energy      141
Internal (with respect to p) state      62 92 95 117 196
Interpretation, rules of      9
Intrinsic property of a state      136 145 147 178 182 186
Inversion, space      165
Involved      23
Irreversibility      1—3 41
Irreversibility function      42—45 194 204
Irreversibility function, lower      128
Irreversibility function, upper      128
Irreversible process      31 194
Kelvin      15
Laws of thermodynamics      15
Lie algebra      166 228
Lie group      166
Line of action      183
Local chemical potential      147 187
Local equilibrium      140 147 181 184
Local process      182—183
Local proper temperature      181 183
Local temperature      140 182—184
Local velocity      140 181—185
Lorentz group      164 190 223
Lorentz reference frame      164
Lorentz transformation      164 224
Lorentz transformation, infinitesimal      165 224
Magnitude of a process      79
Magnitude of a process, state      61 79 206
Manifestation of a state      132 225
Mass      2 132 171
Mass, centre of      131 174
Mass, moment of      132 170
Massieu function      100
Maximal element      216
Mechanical component of content      55 70
Mechanical process      53
Mechanical state      53 66 69 81 214
Mechanical system      50—52 113
Metastable      84
Mixed state      18—20 67 228
Moment of mass      132 170
Momentum      131 170
Momentum, angular      131 170
Natural process      23 31 194
Negative of a process      32
Nilpotent      78
Non-translational energy      135
Norm (in a vector space)      62 79
Norm (in a vector space) (of a component of content)      63
Norm (in a vector space) (of a state)      61 79 206
Occupied point      73 74 194
Order bound topology      79
Order bound topology, unit      78
Overlies      217
Partial ordering      4 215
Particle, thermodynamic      138 144—148 180
Perfect anti-equilibrium state      212
Perfect cosmological principle      164
Perfect equilibrium state      91—95 208—211
Perfect system      94 117
Planck      15
Plane of contact      91—93
Positive cone      81
Positive cone, function of state      195
Possible process      31 194
Potential      87 91—93 100 210
Potential, belonging to a state      92 210
Potential, chemical      117 145
Potential, component of      87 99 115 117 122 125 136 178
Potential, electrostatic      122
Pressure      112—116 148
Primitive aspect of experience      13
Primitive observer      5 26 97—125 188—190
Primitive rules of interpretation      11
Principal components of content      225
Principal operators      224
Principle of equivalence      130 152
Principle of relativity      150
Process (various types)      31 193—194
Process (various types), adiabatic      46 48—55
Process (various types), adiabatically natural etc.      53
Process (various types), continuous      89
Process (various types), formal      31 193
Process (various types), local      182—183
Process (various types), mechanical      53
Process (various types), natural      23 31 194
Process (various types), negative of      32
Process (various types), quasi-static      89
Process (various types), zero      31 193
Processes, congruent      79
Processes, equivalent      31 193
Processes, ordering of      33 193
Processes, sum of      32 193
Projective geometry      12
Proper additive function of state      74 159
Proper basis      74—75 160
Proper coordinate system      75
Proper temperature      181
Proper time      154
Pure state      18 67 228
Quasi-entropy function      47 57 66 74 199
Quasi-entropy function, bounded      80 207
Quasi-entropy function, positive      67 204 207
Quasi-static process      89
Quasi-static process, infinitesimal      89 95
Ray representation      226
Realisation of a group      159
Relativistic invariance      224
Relativity, galilean      130 151
Relativity, principle of      150
Representation of a group      160
Representation, adjoint      166 169 223—228
Representation, ray      226
Rest mass      171
Reversible process      31 89 194
Rigid body motion      136 185
Rotation group      176 227
Rules of interpretation      9
Rules of interpretation, primitive      11
Semi-norm      79
Separation of events      164
Simple fluid      90 116
Simple ordering      4 216
Simple system      116—118
Six-vector      175
Space, coordinate      165
Space, inversion      165
Space-like 4-vector      172
Space-time, de Sitter      164
Space-time, Newtonian      130
Space-time, relativistic      150 164 169 190
Spin      136 172
Spin, angular momentum      136 174
Spin, axis of      175
Stability, conditions of      88 92 117
State      16—20 30 192
State, anti-equilibrium      68 212
State, divisible      90 94
State, equilibrium      83 208
State, frozen      27 119 124
State, internal      62 92 95 117 196
State, mechanical      53 66 69 81 214
State, mixed      18—20 67 228
State, perfect equilibrium      91—95 208—211
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