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searchindex.js
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Search.setIndex({docnames:["README","contributors","equilibrium/backup","equilibrium/basics","equilibrium/debye-model","equilibrium/display","equilibrium/ensembles","equilibrium/gamma-space-mu-space","equilibrium/gas-revisited","equilibrium/gibbs-mixing-paradox","equilibrium/ho-dos","equilibrium/index","equilibrium/ising-model","equilibrium/macroscopic-states-and-microscopic-states","equilibrium/monte-carlo","equilibrium/most-probable-distribution","equilibrium/observables","equilibrium/phase-transitions","equilibrium/summary","equilibrium/systematic-view","equilibrium/topics/importance-sampling","equilibrium/topics/index","equilibrium/topics/statistical-mechanics-and-neural-networks","equilibrium/topics/why-does-equilibrium-state-even-exists","equilibrium/week6","index","intro","nonequilibrium/brownian-motion","nonequilibrium/effect-of-defects","nonequilibrium/important-questions","nonequilibrium/index","nonequilibrium/master-eqn","nonequilibrium/master-eqn-examples","nonequilibrium/projection-technique","nonequilibrium/quantum-master-eqn","nonequilibrium/smoluchowski-eqn","nonequilibrium/solving-master-eqn","questions","thermodynamics/index","thermodynamics/phase-transitions/index","thermodynamics/summary","thermodynamics/thermodynamic-potentials/index","thermodynamics/thermodynamic-potentials/maxwell-relations","thermodynamics/topics/index","thermodynamics/topics/thermodynamics-for-society","topics/epidemics/classical-models","topics/epidemics/hantavirus","topics/epidemics/index","topics/index","topics/information-theory-and-statistical-mechanics","typography","vocabulary/computations","vocabulary/functions","vocabulary/green","vocabulary/index","vocabulary/integrals","vocabulary/stability-analysis","vocabulary/transforms"],envversion:55,filenames:["README.rst","contributors.rst","equilibrium/backup.rst","equilibrium/basics.rst","equilibrium/debye-model.rst","equilibrium/display.rst","equilibrium/ensembles.rst","equilibrium/gamma-space-mu-space.rst","equilibrium/gas-revisited.rst","equilibrium/gibbs-mixing-paradox.rst","equilibrium/ho-dos.rst","equilibrium/index.rst","equilibrium/ising-model.rst","equilibrium/macroscopic-states-and-microscopic-states.rst","equilibrium/monte-carlo.rst","equilibrium/most-probable-distribution.rst","equilibrium/observables.rst","equilibrium/phase-transitions.rst","equilibrium/summary.rst","equilibrium/systematic-view.rst","equilibrium/topics/importance-sampling.rst","equilibrium/topics/index.rst","equilibrium/topics/statistical-mechanics-and-neural-networks.rst","equilibrium/topics/why-does-equilibrium-state-even-exists.rst","equilibrium/week6.rst","index.rst","intro.rst","nonequilibrium/brownian-motion.rst","nonequilibrium/effect-of-defects.rst","nonequilibrium/important-questions.rst","nonequilibrium/index.rst","nonequilibrium/master-eqn.rst","nonequilibrium/master-eqn-examples.rst","nonequilibrium/projection-technique.rst","nonequilibrium/quantum-master-eqn.rst","nonequilibrium/smoluchowski-eqn.rst","nonequilibrium/solving-master-eqn.rst","questions.rst","thermodynamics/index.rst","thermodynamics/phase-transitions/index.rst","thermodynamics/summary.rst","thermodynamics/thermodynamic-potentials/index.rst","thermodynamics/thermodynamic-potentials/maxwell-relations.rst","thermodynamics/topics/index.rst","thermodynamics/topics/thermodynamics-for-society.rst","topics/epidemics/classical-models.rst","topics/epidemics/hantavirus.rst","topics/epidemics/index.rst","topics/index.rst","topics/information-theory-and-statistical-mechanics.rst","typography.rst","vocabulary/computations.rst","vocabulary/functions.rst","vocabulary/green.rst","vocabulary/index.rst","vocabulary/integrals.rst","vocabulary/stability-analysis.rst","vocabulary/transforms.rst"],objects:{},objnames:{},objtypes:{},terms:{"000z":6,"09a65f":6,"1st_kind":36,"20min":15,"21st":6,"21t21":6,"27t14":6,"27t16":6,"2nd":53,"abstract":[8,36],"byte":[2,3],"case":[3,6,8,15,17,23,27,28,32,36,40,45,52],"catch":14,"class":25,"final":[3,6,18,19,28,32,34,36,40],"function":[9,11,12,14,15,17,18,25,29,32,40,45,49,54,57],"import":[2,5,10,11,18,21,25,30,36,40,46,51,52],"kochma\u0144ski":17,"long":[6,10,29,32],"new":[3,6,8,9,25,28,32,36,40,44,51,57],"null":6,"poincar\u00e9":6,"public":44,"short":[29,31,34],"super":53,"switch":40,"true":[3,14,40],"try":3,"while":[4,6,9,10,12,18,29,31,49],AND:6,Adding:6,And:[19,25],Are:44,Being:6,But:[3,6,15,17,25,31],DoS:[4,6,10,18],For:[3,4,6,10,12,13,14,15,17,18,22,28,29,32,35,36,40,46,51,52,53,56,57],Gas:[11,25,38],Going:49,Ising:[4,11,17,25,44],Not:[11,25,40],One:[6,12,22,32,36,40,44,45,50,51],RHS:36,SIS:47,Such:19,That:[3,6,9,15,17,19,22,25,31,40,49],The:[0,3,4,8,9,11,13,14,17,22,23,25,28,29,30,31,32,35,36,38,45,46,48,51,52,53,55,56,57],Their:40,Then:[6,9,10,14,19,28,29,32,34,38,40,44,51,52,53,57],There:[11,14,15,17,18,22,25,29,32,34,40,44,51],These:[10,11,25,44],Use:[3,34,40],Used:[11,25],Using:[6,29,40,49,53,55,57],Will:44,With:[4,6,12,15,25,29,31,34,36,40,49,51,53],_quantum:34,aaue7mc:6,abbr:15,a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Mechanics Notes","<no title>","Week 1","Basics of Statistical Mechanics","Debye Model","<no title>","Ensembles","<span class=\"math notranslate nohighlight\">\\(\\Gamma\\)</span> Space and <span class=\"math notranslate nohighlight\">\\(\\mu\\)</span> Space","Gas Revisited","Gibbs Mixing Paradox","Harmonic Oscillator and Density of States","Equilibrium Statistical Mechanics","Ising Model","Macroscopic States and Microscropic State","Monte Carlo Method","Most Probable Distribution","Observables in Statistical Physics","Phase Transitions","Equilibrium Statistical Mechanics Summary","A More Systematic View","Importance Sampling","Topics on Equilibrium Statistical Mechanics","Statistical Mechanics and Artificial Neural Networks","Why does equilibrium state exists?","Week 6","Statistical Physics","Introduction","Brownian Motion","Effect of Defects","Important Questions of Statistical Mechanics","Stochastic And Non-Equilibrium Statistical Mechanics","Master Equation","Examples of Master Equations","Projection Technique","Quantum Master Equation","Smoluchowski Equation","Solving Master Equations","Questions? Yes","Thermodynamics","Phase Transitions","Summary","Thermodynamic Potentials","Maxwell Relations","Topics on Thermodynamics","Thermodynamics for Our Society","Classical Models in Epidemics","Tempo-spatial Epidemic Models","Epidemics","Some Topics in Statistical Mechanics","Information Theory and Statistical Mechanics","Typography","Computations","Functions","Green\u2019s Function","Vocabulary and Program","Integrals","Stability Analysis","Transforms"],titleterms:{"20d":14,"function":[3,6,10,28,34,36,52,53],"import":[3,4,14,20,29],And:[29,30],Are:40,Gas:[8,17,18,40,52],Ising:[12,14,15],Not:14,SIS:45,The:[6,10,15,18,27,34,40,49],There:6,These:18,Used:6,Useful:34,Using:45,Yes:37,about:29,acknowledg:25,algorithm:14,all:14,analysi:[45,56],applic:[15,18],approach:[18,34],approxim:[17,27],artifici:22,ball:[14,49],basic:[3,45],bayesian:18,bbgky:29,bessel:36,better:34,between:[6,18],beyond:4,bia:32,boltzmann:[3,18,29],born:45,boson:6,brief:28,brownian:27,calcul:[4,6,10,15],canon:6,capac:[3,4,18],caption:15,carlo:[14,51],chain:[14,36],chart:6,chessboard:49,choos:15,classic:[45,49],code:[3,6,14],comput:51,continu:[6,19,29,32],continuum:[32,36],could:15,crucial:[10,49],curs:14,deby:4,defect:28,definit:40,degener:31,delta:34,densiti:[10,19,34],depend:3,der:[8,17,18],deriv:[29,31],descript:18,diagon:34,differ:36,differenti:[40,53,57],dimens:[3,10],dimension:14,dimensionless:52,discret:32,discuss:[10,29],dispers:10,distingush:18,distribut:[6,15],doe:[3,6,17,23],doesn:10,don:10,due:10,effect:28,eigenvalu:36,element:34,energi:[10,32],ensembl:[6,18,19],entropi:[40,49],epidem:[45,46,47],equal:15,equat:[19,27,29,31,32,34,35,36,53,57],equilibrium:[6,11,16,18,21,23,25,30],ergod:6,even:17,evolut:19,exact:6,exampl:[3,15,31,32,52,53,57],exist:23,expens:15,extend:15,extract:19,factor:[3,18],fermi:34,fermion:6,field:[17,18],fig:15,finit:36,first:[32,40],flowchart:14,fokker:27,food:[31,36],footnot:[29,31],form:[27,31,36,40],four:40,fourier:[36,57],free:10,from:[14,19],gap:6,gaussian:55,gener:[32,45],gibb:[9,10,18],golden:34,grand:6,green:[28,34,53],grid:32,harmon:[8,10,27],have:10,heat:[3,4,10,18],help:15,hierarchi:29,hove:34,how:15,idea:38,ident:6,infinit:[10,36],inform:49,integr:55,interact:[4,15,36],intergr:55,introduct:26,invari:32,irrers:32,irrevers:29,irreversibl:40,isol:6,jayn:49,just:14,kei:[27,38],kenkr:34,landau:32,laplac:[28,34,57],lattic:36,law:40,learn:6,legendr:57,lei:10,level:[10,32],limit:[32,36],line:49,linear:56,lingfei:10,liouvil:[19,27,29],machin:[6,31],macroscop:13,macrost:18,magic:15,magnet:3,make:[36,52],map:29,markov:[14,31],markovian:34,master:[31,32,34,36],match:10,matrix:[31,34,36],max:49,maxwel:42,mean:[17,18],mechan:[0,3,11,18,21,22,23,25,29,30,36,48,49],method:[6,14],metropoli:14,micro:6,microscrop:13,microst:18,mistak:34,mix:[9,10,18],mode:4,model:[4,12,14,15,45,46,52],modifi:[36,52],moment:32,mont:[14,51],more:19,most:[6,15],motion:27,multipl:28,mutual:49,nakajiwa:34,nearest:36,neighbor:36,network:22,neumann:31,neural:22,non:[30,31,32],nonequilibrium:25,normal:31,note:[0,12,40,52,57],number:[4,6,45],numer:28,observ:[16,19],off:34,onli:15,oper:29,order:53,ornstein:27,oscil:[8,10,18,27],other:[15,17,27],our:44,paper:40,paradox:[9,10,18],particl:[4,6],partit:[3,6,10],pattern:31,pauli:34,phase:[3,10,12,17,39],photosynthesi:28,physic:[8,16,25],plank:27,poincar:6,poisson:45,popular:8,possibl:15,potenti:[40,41],practic:55,prefac:26,principl:49,prior:15,priori:15,probabl:[6,15,28,31],problem:[36,49],process:[27,31,45],program:54,project:33,propag:32,python:3,qian:10,quantum:[10,23,34,36],question:[29,34,37],random:27,randomli:14,rate:45,reason:49,reconstruct:34,recurr:6,ref:[12,40,52,57],refer:[14,15,17,20,22,23,34,45,46],relat:[10,34,36,40,42,49],relev:15,reproduct:45,requir:19,result:3,review:[18,29],revisit:8,rigor:31,road:29,rule:34,same:31,sampl:[14,20],second:[34,40,53],section:2,self:15,shannon:49,sho:3,simpl:10,simplifi:34,simul:45,sir:45,sixth:40,skeleton:27,smoluchowski:35,societi:44,solut:28,solv:[36,57],some:[10,25,38,48],space:[3,7,10],spatial:46,specif:[3,10],stabil:[45,56],state:[6,10,13,14,16,19,23,31],statist:[0,3,11,16,18,21,22,25,29,30,48,49],stochast:30,summari:[18,28,40],surviv:28,symmetri:55,system:[6,10,25,31],systemat:19,techniqu:33,teller:32,temperatur:[15,40],tempo:46,theorem:[6,19,29],theori:[6,17,18,49],thermodynam:[18,25,38,40,41,43,44],thi:[3,15,17,49],third:40,thoeri:17,thought:[31,36],three:6,time:19,titl:2,topic:[21,25,43,48],transform:[28,34,36,57],transit:[12,14,17,39],translat:32,two:[7,18,31],typographi:50,uhlenbeck:27,understand:52,valid:36,van:[8,17,18,34],vector:45,view:[18,19],visual:52,vocabulari:[25,54],volum:14,von:31,waal:[8,17,18],week:[2,24],werid:31,what:[18,40],why:[3,4,6,8,10,14,15,17,18,23,29,31,32],wiener:27,wkb:27,work:[6,17],would:15,yuan:10,zeroth:40,zwawzig:34}})