| 9ef1c2d9 |
1 | c----------------------------------------------------------------------- |
| 2 | c activate making inicon table by the follwing commands in optns file: |
| 3 | c----------------------------------------------------------------------- |
| 4 | c set nevent 1 |
| 5 | c set bminim 3 (for example) |
| 6 | c set bmaxim 5 (for example) |
| 7 | c set ninicon 1000 (for example) |
| 8 | c set icocore 1 !or 2 |
| 9 | c make icotable |
| 10 | c switch splitting on |
| 11 | c switch fusion on |
| 12 | c switch clusterdecay off |
| 13 | c----------------------------------------------------------------------- |
| 14 | c inicon table means storage of IcoE, IcoV, IcoF |
| 15 | c IcoE ... energy density in the comoving frame |
| 16 | c IcoV ... flow velocity in hyperbolic coordinates |
| 17 | c v=(vx,vy,veta=vz/tau) |
| 18 | c with vz being the velocity in the frame moving with rapidity eta |
| 19 | c IcoV ... net flavor density in the comoving frame |
| 20 | c the indices of these fields ix,iy,iz also refer to hyperbolic coordinates |
| 21 | c (x,y,eta) at given tau |
| 22 | c the corresponding grid is defined in epos.incico |
| 23 | c----------------------------------------------------------------------- |
| 24 | |
| 25 | c----------------------------------------------------------------------- |
| 26 | subroutine IniCon(nin) |
| 27 | c----------------------------------------------------------------------- |
| 28 | include 'epos.inc' |
| 29 | include 'epos.incico' |
| 30 | double precision seedf |
| 31 | character*80 fn |
| 32 | logical table |
| 33 | |
| 34 | ii=index(fnhi(1:nfnhi),".histo")-1 |
| 35 | fn=fnhi(1:ii)//".ico" |
| 36 | inquire(file=fn(1:ii+4),exist=table) |
| 37 | |
| 38 | if(icotabr.eq.1)then !read from file |
| 39 | |
| 40 | if(.not.table)then |
| 41 | write(ifmt,'(//10x,3a//)')'STOP: file ' |
| 42 | * ,fn(1:ii+4),' not found !!!' |
| 43 | stop |
| 44 | endif |
| 45 | write(ifmt,'(3a)')'read from ',fn(1:ii+4),' ...' |
| 46 | open(97,file=fn,status='old') |
| 47 | read(97,*) laprojx,maprojx,latargx,matargx |
| 48 | read(97,*) engyx |
| 49 | read(97,*) bminimx,bmaximx |
| 50 | read(97,*) tauicox |
| 51 | read(97,*) iabs_ninicon |
| 52 | read(97,*) nxicox,nyicox,nzicox |
| 53 | read(97,*)xminicox,xmaxicox,yminicox,ymaxicox,zminicox,zmaxicox |
| 54 | if(laprojx.ne.laproj.or.maprojx.ne.maproj |
| 55 | * .or.latargx.ne.latarg.or.matargx.ne.matarg)stop'(1)' |
| 56 | if(engyx.ne.engy) stop'variables dont match (2) ' |
| 57 | if(bminimx.ne.bminim.or.bmaximx.ne.bmaxim) |
| 58 | * stop'variables dont match (3) ' |
| 59 | if(tauicox.ne.tauico)stop'variables dont match (4) ' |
| 60 | if(nxicox.ne.nxico.or.nyicox.ne.nyico |
| 61 | * .or.nzicox.ne.nzico)stop'(5)' |
| 62 | if( xminicox.ne.xminico.or.xmaxicox.ne.xmaxico |
| 63 | * .or.yminicox.ne.yminico.or.ymaxicox.ne.ymaxico |
| 64 | * .or.zminicox.ne.zminico.or.zmaxicox.ne.zmaxico)stop'(6)' |
| 65 | read(97,*) IcoE,IcoV,IcoF |
| 66 | close(97) |
| 67 | |
| 68 | elseif(icotabr.eq.0)then ! calculate |
| 69 | |
| 70 | !if(icotabm.eq.1.and.table)then |
| 71 | !write(ifmt,'(//10x,3a//)')'STOP: file ' |
| 72 | !* ,fn(1:ii+4),' already exists !!!' |
| 73 | !stop |
| 74 | !endif |
| 75 | |
| 76 | if(nin.eq.1)then |
| 77 | write(ifmt,'(2a,i7,a)')' calculate inicon table ', |
| 78 | & 'based on',iabs(ninicon),' ico-events ...' |
| 79 | call IcoStr(1) |
| 80 | endif |
| 81 | |
| 82 | call ranfgt(seedf) |
| 83 | if(nin.le.iabs(ninicon).and.mod(nin,modsho).eq.0) |
| 84 | & write(ifmt,'(a,i7,a,f6.2,a,d27.16)')' ico-event ',nin |
| 85 | & ,' bimevt:',bimevt,' seedf:',seedf |
| 86 | !if(nin.le.iabs(ninicon).and.mod(nin,modsho).eq.0) |
| 87 | !& print*,'+++++ time: ',timefin-timeini |
| 88 | seedc=seedf |
| 89 | call IcoStr(2) |
| 90 | |
| 91 | if(nin.eq.iabs(ninicon))then |
| 92 | write(ifmt,*)'normalize and diagonalize engy-mom tensor' |
| 93 | call IcoStr(3) |
| 94 | |
| 95 | if(icotabm.eq.1)then ! make table |
| 96 | write(ifmt,'(2a)')' write inicon table into ',fn(1:ii+4) |
| 97 | open(97,file=fn,status='unknown') |
| 98 | write(97,*) laproj,maproj,latarg,matarg |
| 99 | write(97,*) engy |
| 100 | write(97,*) bminim,bmaxim |
| 101 | write(97,*) tauico |
| 102 | write(97,*) iabs(ninicon) |
| 103 | write(97,*) nxico,nyico,nzico |
| 104 | write(97,*) xminico,xmaxico,yminico,ymaxico,zminico,zmaxico |
| 105 | write(97,*) IcoE,IcoV,IcoF |
| 106 | close(97) |
| 107 | endif |
| 108 | endif |
| 109 | |
| 110 | else |
| 111 | |
| 112 | stop'IniCon: wrong choice' |
| 113 | |
| 114 | endif |
| 115 | |
| 116 | end |
| 117 | |
| 118 | c----------------------------------------------------------------------- |
| 119 | subroutine IcoStr(iflag) |
| 120 | c----------------------------------------------------------------------- |
| 121 | c energy momentum tensor and flavor current |
| 122 | c and corresponding contractions from string method |
| 123 | c |
| 124 | c iflag = 1 initialization |
| 125 | c = 2 sum up density |
| 126 | c = 3 normalization |
| 127 | c |
| 128 | c output: common blocks /Ico3/ /Ico4/ /Ico5/ |
| 129 | c----------------------------------------------------------------------- |
| 130 | include 'epos.inc' |
| 131 | include 'epos.incico' |
| 132 | double precision IcoT(4,4,nxico,nyico,nzico) |
| 133 | * ,IcoC(3,4,nxico,nyico,nzico) |
| 134 | common/cxyzt/xptl(mxptl),yptl(mxptl),zptl(mxptl),tptl(mxptl) |
| 135 | *,optl(mxptl),uptl(mxptl),sptl(mxptl),rptl(mxptl,3) |
| 136 | common /Ico10/ntot,ish0,irs |
| 137 | double precision p(4),v(4),u(4),eps,T(4,4),gamma,rap,rapx |
| 138 | integer ic(2),jc(nflav,2) |
| 139 | logical ok |
| 140 | goto (1,10,100),iflag |
| 141 | return |
| 142 | |
| 143 | c...................................................................... |
| 144 | c initialization |
| 145 | c...................................................................... |
| 146 | |
| 147 | 1 do ix=1,nxico |
| 148 | do iy=1,nyico |
| 149 | do iz=1,nzico |
| 150 | IcoE(ix,iy,iz)=0. |
| 151 | do i=1,3 |
| 152 | IcoV(i,ix,iy,iz)=0. |
| 153 | enddo |
| 154 | do i=1,3 |
| 155 | IcoF(i,ix,iy,iz)=0. |
| 156 | enddo |
| 157 | do i=1,4 |
| 158 | do j=1,4 |
| 159 | IcoT(i,j,ix,iy,iz)=0. |
| 160 | enddo |
| 161 | enddo |
| 162 | do i=1,3 |
| 163 | do j=1,4 |
| 164 | IcoC(i,j,ix,iy,iz)=0. |
| 165 | enddo |
| 166 | enddo |
| 167 | enddo |
| 168 | enddo |
| 169 | enddo |
| 170 | ntot=0 |
| 171 | return |
| 172 | |
| 173 | c...................................................................... |
| 174 | c fill arrays |
| 175 | c...................................................................... |
| 176 | |
| 177 | 10 ntot=ntot+1 |
| 178 | dxico=(xmaxico-xminico)/nxico |
| 179 | dyico=(ymaxico-yminico)/nyico |
| 180 | dzico=(zmaxico-zminico )/nzico |
| 181 | |
| 182 | do j=1,nptl |
| 183 | ok=.true. |
| 184 | if(icocore.eq.2 |
| 185 | . .and.(ityptl(j).lt.20.or.ityptl(j).ge.40))ok=.false. |
| 186 | if(ok |
| 187 | . .and.dezptl(j).lt.1e3.and.j.le.maxfra.and.istptl(j).eq.2)then |
| 188 | aa=cos(phievt) |
| 189 | bb=sin(phievt) |
| 190 | x=xptl(j)*aa+yptl(j)*bb |
| 191 | cc=-sin(phievt) |
| 192 | dd=cos(phievt) |
| 193 | y=xptl(j)*cc+yptl(j)*dd |
| 194 | z=dezptl(j) |
| 195 | ix=1+(x-xminico)/dxico |
| 196 | iy=1+(y-yminico)/dyico |
| 197 | iz=1+(z-zminico)/dzico |
| 198 | if(ix.ge.1.and.ix.le.nxico.and. |
| 199 | . iy.ge.1.and.iy.le.nyico.and. |
| 200 | . iz.ge.1.and.iz.le.nzico)then |
| 201 | !~~~~~~~~~~~~ |
| 202 | ! T^i^k = \int d3p p^i p^k /E f(\vec x,\vec p) |
| 203 | ! N^k = \int d3p p^k /E f_net(\vec x,\vec p) |
| 204 | !~~~~~~~~~~~~ |
| 205 | rapx=zminico+(iz-0.5)*dzico |
| 206 | amt2=pptl(5,j)**2+pptl(1,j)**2+pptl(2,j)**2 |
| 207 | pp=pptl(4,j)+abs(pptl(3,j)) |
| 208 | if(amt2.gt.0..and.pp.gt.0.)then |
| 209 | amt=sqrt(amt2) |
| 210 | rap=sign(1.,pptl(3,j))*alog(pp/amt) |
| 211 | p(1)=pptl(1,j) |
| 212 | p(2)=pptl(2,j) |
| 213 | p(3)=amt*sinh(rap-rapx) |
| 214 | p(4)=amt*cosh(rap-rapx) |
| 215 | do i=1,4 |
| 216 | do k=1,4 |
| 217 | IcoT(i,k,ix,iy,iz)=IcoT(i,k,ix,iy,iz)+p(i)*p(k)/p(4) |
| 218 | enddo |
| 219 | enddo |
| 220 | id=idptl(j) |
| 221 | ida=iabs(id/10) |
| 222 | ids=id/iabs(id) |
| 223 | if(ida.ne.111.and.ida.ne.222.and.ida.ne.333)id=id/10*10 |
| 224 | if(ida.eq.111.or. ida.eq.222.or. ida.eq.333)id=id/10*10+ids |
| 225 | if(ida.eq.213)id=1230*ids |
| 226 | ic(1)=idtrai(1,id,1) |
| 227 | ic(2)=idtrai(2,id,1) |
| 228 | call iddeco(ic,jc) |
| 229 | do i=1,3 |
| 230 | fi=jc(i,1)-jc(i,2) |
| 231 | do k=1,4 |
| 232 | IcoC(i,k,ix,iy,iz)=IcoC(i,k,ix,iy,iz)+p(k)/p(4)*fi |
| 233 | enddo |
| 234 | enddo |
| 235 | endif |
| 236 | !~~~~~~~~~~~~ |
| 237 | endif |
| 238 | endif |
| 239 | enddo |
| 240 | |
| 241 | return |
| 242 | |
| 243 | c............................................................................ |
| 244 | c normalization and diagonalization |
| 245 | c............................................................................ |
| 246 | |
| 247 | 100 continue |
| 248 | |
| 249 | !~~~normalize |
| 250 | |
| 251 | vol= (xmaxico-xminico)/nxico |
| 252 | . *(ymaxico-yminico)/nyico |
| 253 | . *(zmaxico-zminico)/nzico *tauico |
| 254 | fac=1./ntot/vol |
| 255 | |
| 256 | do ix=1,nxico |
| 257 | do iy=1,nyico |
| 258 | do iz=1,nzico |
| 259 | do i=1,4 |
| 260 | do k=1,4 |
| 261 | IcoT(i,k,ix,iy,iz)=IcoT(i,k,ix,iy,iz)*fac |
| 262 | enddo |
| 263 | enddo |
| 264 | do i=1,3 |
| 265 | do k=1,4 |
| 266 | IcoC(i,k,ix,iy,iz)=IcoC(i,k,ix,iy,iz)*fac |
| 267 | enddo |
| 268 | enddo |
| 269 | enddo |
| 270 | enddo |
| 271 | enddo |
| 272 | |
| 273 | !~~~diagonalize T |
| 274 | |
| 275 | do ix=1,nxico |
| 276 | do iy=1,nyico |
| 277 | do iz=1,nzico |
| 278 | do i=1,4 |
| 279 | do k=1,4 |
| 280 | T(i,k)=IcoT(i,k,ix,iy,iz) |
| 281 | enddo |
| 282 | enddo |
| 283 | call DiagTmunu(T,u,v,gamma,eps,nonz,ix,iy,iz) |
| 284 | if(nonz.eq.1)then |
| 285 | IcoE(ix,iy,iz)=eps |
| 286 | IcoV(1,ix,iy,iz)=v(1) |
| 287 | IcoV(2,ix,iy,iz)=v(2) |
| 288 | !rapx=zminico+(iz-0.5)*dzico |
| 289 | !rap=rapx+log(gamma*(1+v(3))) |
| 290 | !IcoV(3,ix,iy,iz)=tanh(rap) |
| 291 | IcoV(3,ix,iy,iz)=v(3) / tauico |
| 292 | do i=1,3 |
| 293 | IcoF(i,ix,iy,iz)=IcoC(i,4,ix,iy,iz)*u(4) |
| 294 | do k=1,3 |
| 295 | IcoF(i,ix,iy,iz)=IcoF(i,ix,iy,iz) |
| 296 | . -IcoC(i,k,ix,iy,iz)*u(k) |
| 297 | enddo |
| 298 | enddo |
| 299 | endif |
| 300 | enddo |
| 301 | enddo |
| 302 | enddo |
| 303 | |
| 304 | return |
| 305 | end |
| 306 | |
| 307 | c------------------------------------------------------------------------------------ |
| 308 | subroutine DiagTmunu(Tmunu,u,v,gamma,eps,nonz,ix,iy,iz) |
| 309 | c------------------------------------------------------------------------------------ |
| 310 | ! solve lambda * T * lambda = diag(eps,P,P,P), for symmetric T |
| 311 | ! |
| 312 | ! lambda = g g*vx g*vy g*vz =symmetric! |
| 313 | ! g*vx a*vx*vx+1 a*vy*vx a*vz*vx |
| 314 | ! g*vy a*vx*vy a*vy*vy+1 a*vz*vy |
| 315 | ! g*vz a*vx*vz a*vy*vz a*vz*vz+1 |
| 316 | ! with g=gamma, a=g*g/(g+1) |
| 317 | ! |
| 318 | ! so T*lambda(v)=lambda(-v)*diag(eps,P,P,P) |
| 319 | ! first column: four equations |
| 320 | ! eps=T00+T0k*vk |
| 321 | ! -eps*vi=Ti0+Tik*vk |
| 322 | ! solved iteratively to get eps, vi |
| 323 | ! returns u,v,eps if nonz=1 (otherwise zero tensor) |
| 324 | ! (by T.Kodama) |
| 325 | ! (K. Werner: modifs) |
| 326 | |
| 327 | include 'epos.incico' |
| 328 | double precision Tmunu(4,4), u(4),eps,gamma,g,a, Lor(4,4),w(4),sum |
| 329 | double precision v(4),vx(3),tt(4,4),err,sg(4) |
| 330 | |
| 331 | sg(4)=1d0 |
| 332 | v(4)=1d0 |
| 333 | do i=1,3 |
| 334 | sg(i)=-1d0 |
| 335 | enddo |
| 336 | sum=0d0 |
| 337 | do i=1,4 |
| 338 | do k=1,4 |
| 339 | sum=sum+dabs(Tmunu(i,k)) |
| 340 | end do |
| 341 | end do |
| 342 | nonz=0 |
| 343 | if(sum.eq.0.0d0)return |
| 344 | nonz=1 |
| 345 | |
| 346 | do k=1,3 |
| 347 | v(k)=0. |
| 348 | end do |
| 349 | eps=0 |
| 350 | |
| 351 | do lrep=1,100 |
| 352 | epsx=eps |
| 353 | do i=1,3 |
| 354 | vx(i)=v(i) |
| 355 | end do |
| 356 | eps=Tmunu(4,4) |
| 357 | do k=1,3 |
| 358 | eps=eps-Tmunu(4,k)*vx(k) |
| 359 | end do |
| 360 | if(eps.le.0d0)then |
| 361 | print*,'DiagTmunu: sum(abs(Tmunu))=',sum,' eps=',eps |
| 362 | stop'negative energy density. ' |
| 363 | endif |
| 364 | do i=1,3 |
| 365 | Tv=0d0 |
| 366 | do k=1,3 |
| 367 | Tv=Tv+Tmunu(i,k)*vx(k) |
| 368 | end do |
| 369 | v(i)=(Tmunu(i,4)-Tv)/eps |
| 370 | end do |
| 371 | if(lrep.gt.60)then |
| 372 | do i=1,3 |
| 373 | v(i)=0.5d0*(vx(i)+v(i)) |
| 374 | enddo |
| 375 | endif |
| 376 | !print*,'Tmunu: ',lrep,abs(eps-epsx),(abs(v(i)-vx(i)),i=1,3) |
| 377 | err=1d-6 |
| 378 | if(lrep.gt.50)err=1d-5 |
| 379 | if(lrep.gt.89)err=1d-4 |
| 380 | if(abs(eps-epsx).lt.err.and.abs(v(1)-vx(1)).lt.err |
| 381 | . .and.abs(v(2)-vx(2)).lt.err.and.abs(v(3)-vx(3)).lt.err)goto1 |
| 382 | do i=1,4 |
| 383 | w(i)=0 |
| 384 | do k=1,4 |
| 385 | w(i)=w(i)+Tmunu(i,k)*v(k)*sg(k) |
| 386 | enddo |
| 387 | w(i)=w(i)-eps*v(i) |
| 388 | enddo |
| 389 | if(lrep.gt.95 |
| 390 | ..and.w(1)*w(1)+w(2)*w(2)+w(3)*w(3)+w(4)*w(4).lt.err)goto1 |
| 391 | end do |
| 392 | |
| 393 | 1 v2=0.d0 |
| 394 | do i=1,3 |
| 395 | v2=v2+v(i)**2 |
| 396 | end do |
| 397 | if(v2.ge.1.)stop'DiagTmunu: v2 ge 1. ' |
| 398 | gamma=1./sqrt(abs(1.-v2)) |
| 399 | u(4)=gamma |
| 400 | u(1)=v(1)*gamma |
| 401 | u(2)=v(2)*gamma |
| 402 | u(3)=v(3)*gamma |
| 403 | |
| 404 | !~~~check |
| 405 | g=gamma |
| 406 | a=g*g/(g+1d0) |
| 407 | Lor(4,4)=g |
| 408 | do k=1,3 |
| 409 | Lor(4,k)=-g*v(k) |
| 410 | Lor(k,4)=Lor(4,k) |
| 411 | enddo |
| 412 | do i=1,3 |
| 413 | do k=1,3 |
| 414 | Lor(i,k)=a*v(i)*v(k) |
| 415 | enddo |
| 416 | enddo |
| 417 | do k=1,3 |
| 418 | Lor(k,k)=Lor(k,k)+1 |
| 419 | enddo |
| 420 | do i=1,4 |
| 421 | do k=1,4 |
| 422 | tt(i,k)=0d0 |
| 423 | do m=1,4 |
| 424 | do n=1,4 |
| 425 | tt(i,k)=tt(i,k)+Lor(i,m)*Tmunu(m,n)*Lor(n,k) |
| 426 | enddo |
| 427 | enddo |
| 428 | enddo |
| 429 | enddo |
| 430 | err=err*1d2 |
| 431 | if(tt(1,4).gt.err.or.tt(2,4).gt.err.or.tt(3,4).gt.err)then |
| 432 | print*,'************** DiagTmunu: nonzero T14 or T24 or T34' |
| 433 | . ,' after ',lrep,' iterations' |
| 434 | print*,'d_eps or d_v(i): ',abs(eps-epsx),(abs(v(i)-vx(i)),i=1,3) |
| 435 | print*,'Tmunu ( ix=',ix-nxico/2-1,' iy=',iy-nyico/2-1,' ) :' |
| 436 | . ,' iz=',iz-nzico/2-1 |
| 437 | do i=1,4 |
| 438 | write(*,'(4f10.5,2x,4f10.5)') |
| 439 | . (sngl(tmunu(i,k)),k=1,4),(sngl(tt(i,k)),k=1,4) |
| 440 | enddo |
| 441 | endif |
| 442 | |
| 443 | end |
| 444 | |
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