diff --git a/matlab/MOLI_kperp_scan.m b/matlab/MOLI_kperp_scan.m
index 8697f98..c3c8d4e 100644
--- a/matlab/MOLI_kperp_scan.m
+++ b/matlab/MOLI_kperp_scan.m
@@ -1,164 +1,166 @@
+%% Run MOLI for a scan in kperp
 %% Move to MOLI workspace
 cd ../../MoliSolver/MOLI/workspace/
 %% Add paths
 my_paths
 
 %% Directories
 ROOT = '/home/ahoffman/Documents/MoliSolver';
 options.dirs.COSOlverdir = fullfile(ROOT,'COSOlver');
 options.dirs.MOLIdir = fullfile(ROOT,'MOLI');
 
 %% MOLI Physical and Main Parameters
 
 % Solve DK AND/OR GK Linear Moment Hierarchy.
 options.DKI  = 0;   % First-order DK
 options.DKII = 0;   % Second-order DK
 options.GK   = 1;   % Gyrokinetic GK
 options.EM   = 0;   % Include Electromagnetic effects (only for GK=1)
 options.GD   = 0;   % Gyro-Drift
 options.GDI  = 0;   % First/second order
 
 % Solve MOLI
 options.MOLI = 1;    % 1 -> Solve MOLI, 0 -> off
 
 % MOLI Solver
 options.solver.solver = 3;
 
 % MOLI Linear Fit Solver
 options.LinFitSolver = 2;
 
 %% Main parameter scan
 
 % Closure by truncation
 params.Pmaxi = GRID.pmaxi;           % parallel ion Hermite moments
 params.Jmaxi = GRID.jmaxi;           % perpendicular ion Laguerre moments
 params.Pmaxe = GRID.pmaxe;           % parallel electron Hermite moments
 params.Jmaxe = GRID.jmaxe;           % perpendicular electron Laguerre moments
 
 % w/wo ions
 options.ions = 1;           % if ions are present -> 1, 0 otherwise
 
 % Adiabatic electrons
 options.electrons = 1;      % 0 ->  adiabatic electrons, 1 no adiabatic electrons
 
 % w/wo soundwaves
 options.sw = 1;             % 1 -> sound waves on, 0 -> put ion parallel velocity row/column to 0
 
 %% Collision Operator Models and COSOlver Input Parameters
 options.collI  = MODEL.CO;         % collI=-2 -> Dougherty, -1 -> COSOlver, 0 -> Lenard-Bernstein, other -> hyperviscosity exponent
 options.collGK = 0;         % collDKGK =1 -> GK collision operator, else DK collision operator
 options.COSOlver.GKE = 0;
 options.COSOlver.GKI = 0;
 
 % COSOlver Input Parameters (if collI = -1 only)
 options.COSOlver.eecolls = 1;	   % 1 -> electron-electron collisions, 0 -> off
 options.COSOlver.iicolls = 1;      % 1 -> ion-ion collisions, 0 -> off
 options.COSOlver.eicolls = 1;      % 1 -> electron-ion collisions (e-i) on, 0 -> off
 options.COSOlver.iecolls = 1;      % 1 -> ion-electron collisions (i-e) on, 0 -> off
 
 % Collisional Coulomb sum bounds (only if collI = -1, i.e. Coulomb)
 options.COSOlver.lmaxx = 10;                        % upper bound collision operator first sum first species
 options.COSOlver.kmaxx = 10;                        % upper bound collision operator second sum first species
 options.COSOlver.nmaxx = options.COSOlver.lmaxx;    % upper bound collision operator first sum second species
 options.COSOlver.qmaxx = options.COSOlver.kmaxx;    % upper bound collision operator second sum second species
 
 % Collsion FLR sum bounds
 options.COSOlver.nemaxxFLR = 0;         % upper bound FLR electron collision
 options.COSOlver.nimaxxFLR = 0;         % upper bound FLR ion collision
 
 % Collision Operator Model
 % Set electron/ion test and back-reaction model operator
 %
 %  0 => Coulomb Collisions
 options.COSOlver.ETEST = 1; % 0 --> Buffer Operator, 1 --> Coulomb, 2 --> Lorentz
 options.COSOlver.EBACK = 1;
 options.COSOlver.ITEST = 1;
 options.COSOlver.IBACK = 1;
 options.COSOlver.ESELF = 1;
 options.COSOlver.ISELF = 1;
 
 options.COSOlver.OVERWRITE = 0;    % overwrite collisional matrices even if exists
 
 options.COSOlver.cmd   = 'mpirun -np 6 ./bin/CO 2 2 2';
 %% Physical Parameters
 
 % Toroidal effects
 options.magnetic        = 1;           % 1-> Add toroidal magnetic gradient drift resonance effects
 
 % Physical Parameters
 params.tau              = MODEL.tau_i; % Ti/Te
 params.nu               = MODEL.nu;    % electron/ion collision frequency ... only for nu/ omega_pe < nuoveromegapemax (electron plasma frequency) [See Banks et al. (2017)]
 params.nuoveromegapemax = inf;         % Maximum ratio between electron/ion collision frequency and electron plasma frequency [See Banks et al. (2017)]. Set to inf if not desired !!!
 params.mu               = MODEL.sigma_e;   % sqrt(m_e/m_i)
 params.kpar             = 0.0;         % normalized parallel wave number to the major radius
-params.kperp            = GRID.kzmin;  % normalized perpendicular wave number to the soundLarmor radius. Note: If ions ==0 (e.g. EPW), kperp --> b
+params.kperp            = GRID.kzmin;  % normalized perpendicular toroidal wave number to the soundLarmor radius. Note: If ions ==0 (e.g. EPW), kperp --> b
+params.kr               = GRID.krmin;  % Radial component of perpendicular vector
 params.alphaD           = 0.0;         % (k*Debye length)^2
 params.Rn               = MODEL.eta_n; % Major Radius / Background density gradient length
 params.RTe              = MODEL.eta_T; % Major Radius * normalized kperp / Background electron temperature gradient length
 params.RTi              = MODEL.eta_T; % Major Radius * normalized kperp / Background ion temperature gradient length
 params.Rphi             = 0.0;         % Major Radius * normalized kperp / Background potentiel gradient length [presence of shear] - only for GK
 params.betae            = 1e-6;        % Electron Beta plasma.
 
 params.rhostar          = 1e-5;        % sound Larmor Radius/Major Radius ~ sqrt(Te)/(R_0*B).
 params.n0               = INITIAL.initback_moments;        % initial density perturbation
 
 params.gradB            = MODEL.eta_B;         % Magnetic field gradient
 params.curvB            = MODEL.eta_B;         % Curvature of B
 params.trappB           = 0.0;         % Trapping term
 
 %% MOLI Options
 
 % Save data in results dir
 options.save    = 0;
 options.verbose = 0;
 options.dbg     = 0;
 
 options.DR        = 0;      % 1 -> Solve kinetic dispersion relation,
 options.KineticDR = 0;      % Solve kinetic dispersion relation (Landau integral) for the given theory
 
 % Compute the kinetic susceptibility for EPW only
 options.SPTBLTY = 0;
 
 options.nharm   = 1;        % Number of harmonics in disp. rel. 1 and 4
 
 wlim = 5.0;
 options.DRsolver.wr_min = -wlim;     % Minimum of real part.
 options.DRsolver.wr_max =  wlim;     % Maximum of real part.
 options.DRsolver.wi_min = -wlim;     % Minimum of imag part.
 options.DRsolver.wi_max =  wlim;     % Maximum of imag part.
 options.DRsolver.nw     =  300;      % Grid resolution
 
 % Disp. Rel. Options
 options.FLRmodel    = 0;   % 1 -> Truncated Laguerre, 0 -> Exact representation
 options.FluidLandau = 0;   % 1 -> Add Landau Fluid Closure to Fluid Dispersion Relation, 0 -> off
 options.deltaLandau = 0;   % 1 -> Hammet-Perkins closure on, 0 -> off
 
 % Fluid dispersion relation
 options.FluidDR = 0;	     % Solve annamaria's fluid equations
 options.Fluid.sITGmm = 0;
 
 % Define scan parameters
 options.fscan = 1;         % 1 -> peform scan over scan.list, 0-> off
 
 options.scan.list = {'kperp'};% List of scan parameters. If empty, solve MOLI with params
 
 options.scan.kperp.array  = linspace(GRID.kzmin, GRID.kzmax, GRID.nkz);
 
 % Time-Evolution Problem [Solver==3] ...
 options.solver.TimeSolver.dt         = BASIC.dt;		% timestep of time evolution (R/c_s or 1/(k v/the) units)
 options.solver.TimeSolver.tmax       = BASIC.tmax;
 options.solver.TimeSolver.Trun       = BASIC.tmax;		  % total time to run time evolution
 options.solver.TimeSolver.t_fit_min  = 0.05;    % Phase-Mixing fit Lower time limit
 options.solver.TimeSolver.t_fit_max  = 8;       % Phase-Mixing fit Upper time limit
 options.solver.TimeSolver.en_fit_min = 0.15;    % Entropy Mode fit Lower time limit
 options.solver.TimeSolver.en_fit_max = 0.3;     % Entropy Mode fit Upper time limit
 options.solver.TimeSolver.movie      = 0;       % Display movie if 1, last frame otherwise
 options.solver.TimeSolver.save       = 0;       % 1 --> save during fscan, Warning: memory storage
 
 
 %% Run MOLI
 % Solve the MOLI
 [results,params,options] = MOLI_Control(params,options);
 
 %% Return to HeLaZ workspace
 cd ../../../HeLaZ/wk
diff --git a/matlab/MOLI_time_solver.m b/matlab/MOLI_time_solver.m
index 0bd7d11..b2f25e3 100644
--- a/matlab/MOLI_time_solver.m
+++ b/matlab/MOLI_time_solver.m
@@ -1,162 +1,164 @@
+%% Run MOLI for a time evolution of the moments at a given kperp
 %% Move to MOLI workspace
 cd ../../MoliSolver/MOLI/workspace/
 %% Add paths
 my_paths
 
 %% Directories
 ROOT = '/home/ahoffman/Documents/MoliSolver';
 options.dirs.COSOlverdir = fullfile(ROOT,'COSOlver');
 options.dirs.MOLIdir = fullfile(ROOT,'MOLI');
 
 %% MOLI Physical and Main Parameters
 
 % Solve DK AND/OR GK Linear Moment Hierarchy.
 options.DKI  = 0;   % First-order DK
 options.DKII = 0;   % Second-order DK
 options.GK   = 1;   % Gyrokinetic GK
 options.EM   = 0;   % Include Electromagnetic effects (only for GK=1)
 options.GD   = 0;   % Gyro-Drift
 options.GDI  = 0;   % First/second order
 
 % Solve MOLI
 options.MOLI = 1;    % 1 -> Solve MOLI, 0 -> off
 
 % MOLI Solver
 options.solver.solver = 3;
 
 % MOLI Linear Fit Solver
 options.LinFitSolver = 0;
 
 %% Main parameter scan
 
 % Closure by truncation
 params.Pmaxi = GRID.pmaxi;           % parallel ion Hermite moments
 params.Jmaxi = GRID.jmaxi;           % perpendicular ion Laguerre moments
 params.Pmaxe = GRID.pmaxe;           % parallel electron Hermite moments
 params.Jmaxe = GRID.jmaxe;           % perpendicular electron Laguerre moments
 
 % w/wo ions
 options.ions = 1;           % if ions are present -> 1, 0 otherwise
 
 % Adiabatic electrons
 options.electrons = 1;      % 0 ->  adiabatic electrons, 1 no adiabatic electrons
 
 % w/wo soundwaves
 options.sw = 1;             % 1 -> sound waves on, 0 -> put ion parallel velocity row/column to 0
 
 %% Collision Operator Models and COSOlver Input Parameters
 options.collI  = MODEL.CO;         % collI=-2 -> Dougherty, -1 -> COSOlver, 0 -> Lenard-Bernstein, other -> hyperviscosity exponent
 options.collGK = 0;         % collDKGK =1 -> GK collision operator, else DK collision operator
 options.COSOlver.GKE = 0;
 options.COSOlver.GKI = 0;
 
 % COSOlver Input Parameters (if collI = -1 only)
 options.COSOlver.eecolls = 1;	   % 1 -> electron-electron collisions, 0 -> off
 options.COSOlver.iicolls = 1;      % 1 -> ion-ion collisions, 0 -> off
 options.COSOlver.eicolls = 1;      % 1 -> electron-ion collisions (e-i) on, 0 -> off
 options.COSOlver.iecolls = 1;      % 1 -> ion-electron collisions (i-e) on, 0 -> off
 
 % Collisional Coulomb sum bounds (only if collI = -1, i.e. Coulomb)
 options.COSOlver.lmaxx = 10;                        % upper bound collision operator first sum first species
 options.COSOlver.kmaxx = 10;                        % upper bound collision operator second sum first species
 options.COSOlver.nmaxx = options.COSOlver.lmaxx;    % upper bound collision operator first sum second species
 options.COSOlver.qmaxx = options.COSOlver.kmaxx;    % upper bound collision operator second sum second species
 
 % Collsion FLR sum bounds
 options.COSOlver.nemaxxFLR = 0;         % upper bound FLR electron collision
 options.COSOlver.nimaxxFLR = 0;         % upper bound FLR ion collision
 
 % Collision Operator Model
 % Set electron/ion test and back-reaction model operator
 %
 %  0 => Coulomb Collisions
 options.COSOlver.ETEST = 1; % 0 --> Buffer Operator, 1 --> Coulomb, 2 --> Lorentz
 options.COSOlver.EBACK = 1;
 options.COSOlver.ITEST = 1;
 options.COSOlver.IBACK = 1;
 options.COSOlver.ESELF = 1;
 options.COSOlver.ISELF = 1;
 
 options.COSOlver.OVERWRITE = 0;    % overwrite collisional matrices even if exists
 
 options.COSOlver.cmd   = 'mpirun -np 6 ./bin/CO 2 2 2';
 %% Physical Parameters
 
 % Toroidal effects
 options.magnetic        = 1;           % 1-> Add toroidal magnetic gradient drift resonance effects
 
 % Physical Parameters
 params.tau              = MODEL.tau_i; % Ti/Te
 params.nu               = MODEL.nu;    % electron/ion collision frequency ... only for nu/ omega_pe < nuoveromegapemax (electron plasma frequency) [See Banks et al. (2017)]
 params.nuoveromegapemax = inf;         % Maximum ratio between electron/ion collision frequency and electron plasma frequency [See Banks et al. (2017)]. Set to inf if not desired !!!
 params.mu               = MODEL.sigma_e;   % sqrt(m_e/m_i)
 params.kpar             = 0.0;         % normalized parallel wave number to the major radius
-params.kperp            = GRID.kzmin;  % normalized perpendicular wave number to the soundLarmor radius. Note: If ions ==0 (e.g. EPW), kperp --> b
+params.kperp            = GRID.kzmin;  % normalized perpendicular toroidal wave number to the soundLarmor radius. Note: If ions ==0 (e.g. EPW), kperp --> b
+params.kr               = GRID.krmin;  % Radial component of perpendicular vector
 params.alphaD           = 0.0;         % (k*Debye length)^2
 params.Rn               = MODEL.eta_n; % Major Radius / Background density gradient length
 params.RTe              = MODEL.eta_T; % Major Radius * normalized kperp / Background electron temperature gradient length
 params.RTi              = MODEL.eta_T; % Major Radius * normalized kperp / Background ion temperature gradient length
 params.Rphi             = 0.0;         % Major Radius * normalized kperp / Background potentiel gradient length [presence of shear] - only for GK
 params.betae            = 1e-6;        % Electron Beta plasma.
 
 params.rhostar          = 1e-5;        % sound Larmor Radius/Major Radius ~ sqrt(Te)/(R_0*B).
 params.n0               = INITIAL.initback_moments;        % initial density perturbation
 
 params.gradB            = MODEL.eta_B;         % Magnetic field gradient
 params.curvB            = MODEL.eta_B;         % Curvature of B
 params.trappB           = 0.0;         % Trapping term
 
 %% MOLI Options
 
 % Save data in results dir
 options.save    = 0;
 options.verbose = 0;
 options.dbg     = 0;
 
 options.DR        = 0;      % 1 -> Solve kinetic dispersion relation,
 options.KineticDR = 0;      % Solve kinetic dispersion relation (Landau integral) for the given theory
 
 % Compute the kinetic susceptibility for EPW only
 options.SPTBLTY = 0;
 
 options.nharm   = 1;        % Number of harmonics in disp. rel. 1 and 4
 
 wlim = 5.0;
 options.DRsolver.wr_min = -wlim;     % Minimum of real part.
 options.DRsolver.wr_max =  wlim;     % Maximum of real part.
 options.DRsolver.wi_min = -wlim;     % Minimum of imag part.
 options.DRsolver.wi_max =  wlim;     % Maximum of imag part.
 options.DRsolver.nw     =  300;      % Grid resolution
 
 % Disp. Rel. Options
 options.FLRmodel    = 0;   % 1 -> Truncated Laguerre, 0 -> Exact representation
 options.FluidLandau = 0;   % 1 -> Add Landau Fluid Closure to Fluid Dispersion Relation, 0 -> off
 options.deltaLandau = 0;   % 1 -> Hammet-Perkins closure on, 0 -> off
 
 % Fluid dispersion relation
 options.FluidDR = 0;	     % Solve annamaria's fluid equations
 options.Fluid.sITGmm = 0;
 
 % Define scan parameters
 options.fscan = 0;         % 1 -> peform scan over scan.list, 0-> off
 
 options.scan.list = {};% List of scan parameters. If empty, solve MOLI with params
 
 % Time-Evolution Problem [Solver==3] ...
 options.solver.TimeSolver.dt         = BASIC.dt;		% timestep of time evolution (R/c_s or 1/(k v/the) units)
 options.solver.TimeSolver.tmax       = BASIC.tmax;
 options.solver.TimeSolver.Trun       = BASIC.tmax;		  % total time to run time evolution
 options.solver.TimeSolver.t_fit_min  = 0.05;    % Phase-Mixing fit Lower time limit
 options.solver.TimeSolver.t_fit_max  = 8;       % Phase-Mixing fit Upper time limit
 options.solver.TimeSolver.en_fit_min = 0.15;    % Entropy Mode fit Lower time limit
 options.solver.TimeSolver.en_fit_max = 0.3;     % Entropy Mode fit Upper time limit
 options.solver.TimeSolver.movie      = 0;       % Display movie if 1, last frame otherwise
 options.solver.TimeSolver.save       = 0;       % 1 --> save during fscan, Warning: memory storage
 
 
 %% Run MOLI
 % Solve the MOLI
 [results,params,options] = MOLI_Control(params,options);
 
 %% Return to HeLaZ workspace
 cd ../../../HeLaZ/wk