From 4019ca8157136a68b6e43b31f166dc93acd81b4d Mon Sep 17 00:00:00 2001
From: Samo Penic <samo.penic@gmail.com>
Date: Fri, 08 Feb 2019 08:14:57 +0000
Subject: [PATCH] Merge branch 'stretching-devel' into plane-new
---
src/energy.c | 125 ++++++++++++++++++++++++++++++++++++++++-
1 files changed, 120 insertions(+), 5 deletions(-)
diff --git a/src/energy.c b/src/energy.c
index abbb8e7..1dae415 100644
--- a/src/energy.c
+++ b/src/energy.c
@@ -1,9 +1,19 @@
+/* vim: set ts=4 sts=4 sw=4 noet : */
#include<stdlib.h>
#include "general.h"
#include "energy.h"
#include "vertex.h"
#include<math.h>
#include<stdio.h>
+
+
+/** @brief Wrapper that calculates energy of every vertex in vesicle
+ *
+ * Function calculated energy of every vertex in vesicle. It can be used in
+ * initialization procedure or in recalculation of the energy after non-MCsweep * operations. However, when random move of vertex or flip of random bond occur * call to this function is not necessary nor recommended.
+ * @param *vesicle is a pointer to vesicle.
+ * @returns TS_SUCCESS on success.
+*/
ts_bool mean_curvature_and_energy(ts_vesicle *vesicle){
ts_uint i;
@@ -19,11 +29,64 @@
return TS_SUCCESS;
}
+/** @brief Calculate energy of a bond (in models where energy is bond related)
+ *
+ * This function is experimental and currently only used in polymeres calculation (PEGs or polymeres inside the vesicle).
+ *
+ * @param *bond is a pointer to a bond between two vertices in polymere
+ * @param *poly is a pointer to polymere in which we calculate te energy of the bond
+ * @returns TS_SUCCESS on successful calculation
+*/
+inline ts_bool bond_energy(ts_bond *bond,ts_poly *poly){
+//TODO: This value to be changed and implemented in data structure:
+ ts_double d_relaxed=1.0;
+ bond->energy=poly->k*pow(bond->bond_length-d_relaxed,2);
+ return TS_SUCCESS;
+};
+/** @brief Calculation of the bending energy of the vertex.
+ *
+ * Main function that calculates energy of the vertex \f$i\f$. Function returns \f$\frac{1}{2}(c_1+c_2-c)^2 s\f$, where \f$(c_1+c_2)/2\f$ is mean curvature,
+ * \f$c/2\f$ is spontaneous curvature and \f$s\f$ is area per vertex \f$i\f$.
+ *
+ * Nearest neighbors (NN) must be ordered in counterclockwise direction for this function to work.
+ * Firstly NNs that form two neighboring triangles are found (\f$j_m\f$, \f$j_p\f$ and common \f$j\f$). Later, the scalar product of vectors \f$x_1=(\mathbf{i}-\mathbf{j_p})\cdot (\mathbf{i}-\mathbf{j_p})(\mathbf{i}-\mathbf{j_p})\f$, \f$x_2=(\mathbf{j}-\mathbf{j_p})\cdot (\mathbf{j}-\mathbf{j_p})\f$ and \f$x_3=(\mathbf{j}-\mathbf{j_p})\cdot (\mathbf{i}-\mathbf{j_p})\f$ are calculated. From these three vectors the \f$c_{tp}=\frac{1}{\tan(\varphi_p)}\f$ is calculated, where \f$\varphi_p\f$ is the inner angle at vertex \f$j_p\f$. The procedure is repeated for \f$j_m\f$ instead of \f$j_p\f$ resulting in \f$c_{tn}\f$.
+ *
+\begin{tikzpicture}{
+\coordinate[label=below:$i$] (i) at (2,0);
+\coordinate[label=left:$j_m$] (jm) at (0,3.7);
+\coordinate[label=above:$j$] (j) at (2.5,6.4);
+\coordinate[label=right:$j_p$] (jp) at (4,2.7);
+
+\draw (i) -- (jm) -- (j) -- (jp) -- (i) -- (j);
+
+\begin{scope}
+\path[clip] (jm)--(i)--(j);
+\draw (jm) circle (0.8);
+\node[right] at (jm) {$\varphi_m$};
+\end{scope}
+
+\begin{scope}
+\path[clip] (jp)--(i)--(j);
+\draw (jp) circle (0.8);
+\node[left] at (jp) {$\varphi_p$};
+\end{scope}
+
+%%vertices
+\draw [fill=gray] (i) circle (0.1);
+\draw [fill=white] (j) circle (0.1);
+\draw [fill=white] (jp) circle (0.1);
+\draw [fill=white] (jm) circle (0.1);
+%\node[draw,circle,fill=white] at (i) {};
+\end{tikzpicture}
+
+ * The curvature is then calculated as \f$\mathbf{h}=\frac{1}{2}\Sigma_{k=0}^{\mathrm{neigh\_no}} c_{tp}^{(k)}+c_{tm}^{(k)} (\mathbf{j_k}-\mathbf{i})\f$, where \f$c_{tp}^{(k)}+c_{tm}^k=2\sigma^{(k)}\f$ (length in dual lattice?) and the previous equation can be written as \f$\mathbf{h}=\Sigma_{k=0}^{\mathrm{neigh\_no}}\sigma^{(k)}\cdot(\mathbf{j}-\mathbf{i})\f$ (See Kroll, p. 384, eq 70).
+ *
+ * From the curvature the enery is calculated by equation \f$E=\frac{1}{2}\mathbf{h}\cdot\mathbf{h}\f$.
+ * @param *vtx is a pointer to vertex at which we want to calculate the energy
+ * @returns TS_SUCCESS on successful calculation.
+*/
inline ts_bool energy_vertex(ts_vertex *vtx){
-// ts_vertex *vtx=&vlist->vertex[n]-1; // Caution! 0 Indexed value!
-// ts_triangle *tristar=vtx->tristar-1;
- //ts_vertex_data *data=vtx->data;
ts_uint jj;
ts_uint jjp,jjm;
ts_vertex *j,*jp, *jm;
@@ -39,7 +102,6 @@
j=vtx->neigh[jj-1];
jp=vtx->neigh[jjp-1];
jm=vtx->neigh[jjm-1];
-// printf("tristar_no=%u, neigh_no=%u, jj=%u\n",data->tristar_no,data->neigh_no,jj);
jt=vtx->tristar[jj-1];
x1=vtx_distance_sq(vtx,jp); //shouldn't be zero!
x2=vtx_distance_sq(j,jp); // shouldn't be zero!
@@ -120,10 +182,63 @@
vtx->curvature=-sqrtl(h);
}
#endif
-// What is vtx->c?????????????? Here it is 0!
// c is forced curvature energy for each vertex. Should be set to zero for
// normal circumstances.
+/* the following statement is an expression for $\frac{1}{2}\int(c_1+c_2-c_0^\prime)^2\mathrm{d}A$, where $c_0^\prime=2c_0$ (twice the spontaneous curvature) */
vtx->energy=0.5*s*(vtx->curvature/s-vtx->c)*(vtx->curvature/s-vtx->c);
return TS_SUCCESS;
}
+
+
+
+ts_bool sweep_attraction_bond_energy(ts_vesicle *vesicle){
+ int i;
+ for(i=0;i<vesicle->blist->n;i++){
+ attraction_bond_energy(vesicle->blist->bond[i], vesicle->tape->w);
+ }
+ return TS_SUCCESS;
+}
+
+
+inline ts_bool attraction_bond_energy(ts_bond *bond, ts_double w){
+
+ if(fabs(bond->vtx1->c)>1e-16 && fabs(bond->vtx2->c)>1e-16){
+ bond->energy=-w;
+ }
+ else {
+ bond->energy=0.0;
+ }
+ return TS_SUCCESS;
+}
+
+ts_double direct_force_energy(ts_vesicle *vesicle, ts_vertex *vtx, ts_vertex *vtx_old){
+ if(fabs(vtx->c)<1e-15) return 0.0;
+// printf("was here");
+ if(fabs(vesicle->tape->F)<1e-15) return 0.0;
+
+ ts_double norml,ddp=0.0;
+ ts_uint i;
+ ts_double xnorm=0.0,ynorm=0.0,znorm=0.0;
+ /*find normal of the vertex as sum of all the normals of the triangles surrounding it. */
+ for(i=0;i<vtx->tristar_no;i++){
+ xnorm+=vtx->tristar[i]->xnorm;
+ ynorm+=vtx->tristar[i]->ynorm;
+ znorm+=vtx->tristar[i]->znorm;
+ }
+ /*normalize*/
+ norml=sqrt(xnorm*xnorm+ynorm*ynorm+znorm*znorm);
+ xnorm/=norml;
+ ynorm/=norml;
+ znorm/=norml;
+ /*calculate ddp, perpendicular displacement*/
+ ddp=xnorm*(vtx->x-vtx_old->x)+ynorm*(vtx->y-vtx_old->y)+znorm*(vtx->z-vtx_old->z);
+ /*calculate dE*/
+// printf("ddp=%e",ddp);
+ return vesicle->tape->F*ddp;
+
+}
+
+void stretchenergy(ts_vesicle *vesicle, ts_triangle *triangle){
+ triangle->energy=vesicle->tape->xkA0/2.0*pow((triangle->area/vesicle->tlist->a0-1.0),2);
+}
--
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